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DOTTORATO DI RICERCA IN<br />

ENERGETICA E TECNOLOGIE INDUSTRIALI INNOVATIVE<br />

UNIVERSITÀ DEGLI STUDI DI FIRENZE<br />

Sede Amministr<strong>at</strong>iva : DIPARTIMENTO DI ENERGETICA – S. STECCO<br />

TESI DI DOTTORATO<br />

MODELLING AIR POLLUTION DISPERSION AT DIFFERENT<br />

URBAN SCALES<br />

Tutor Univesitario: Il Coordin<strong>at</strong>ore<br />

Prof. Ing. Ennio A. Carnevale Prof. Ing. Francesco Martelli<br />

Tutor Esterno:<br />

Prof. Alan G. Robins<br />

DOTTORANDO: Paolo Giambini<br />

Anno Accademico 2007-2008 (XXI ciclo)


DIPARTIMENTO ENERGETICA “SERGIO STECCO”<br />

(University of Florence)<br />

MODELLING AIR POLLUTION DISPERSION<br />

AT DIFFERENT URBAN SCALES<br />

By<br />

Paolo Giambini<br />

A thesis submitted in fulfilment of the requirements<br />

for the degree of Doctor of Philosophy of the University of Florence<br />

January 2009<br />

1


Abstract<br />

Urban <strong>air</strong> quality <strong>modelling</strong> was investig<strong>at</strong>ed in this thesis by studying the topic <strong>at</strong><br />

<strong>different</strong> <strong>scales</strong> and for <strong>different</strong> purposes. At the street and neighbourhood <strong>scales</strong>,<br />

pollutant <strong>dispersion</strong> from vehicle traffic sources within an <strong>urban</strong> quartier were<br />

experimentally analysed, both in terms of mean and peak concentr<strong>at</strong>ions. At the <strong>urban</strong><br />

and regional <strong>scales</strong>, advanced oper<strong>at</strong>ional m<strong>at</strong>hem<strong>at</strong>ical <strong>dispersion</strong> models where<br />

applied for studying the environmental impacts deriving from <strong>different</strong> emission<br />

scenarios. A model evalu<strong>at</strong>ion and valid<strong>at</strong>ion work was carried out using monitoring<br />

d<strong>at</strong>a in order to develop an integr<strong>at</strong>ed meteorological and <strong>dispersion</strong> <strong>modelling</strong> system<br />

for supporting an Air Quality Action Plan.<br />

The work was aimed to enhance the understanding of the involved phenomena and<br />

analysing the current practice in <strong>dispersion</strong> <strong>modelling</strong> in order to put the basis for the<br />

development of reliable tools for <strong>air</strong> quality management and assessment.<br />

Wind tunnel experiments were carried out in the Environmental Flow Research Centre<br />

(EnFlo) labor<strong>at</strong>ory, loc<strong>at</strong>ed in Guildford (UK). An advanced experimental technique<br />

such as fast flame ioniz<strong>at</strong>ion detectors was used for measuring pollutant <strong>dispersion</strong> in<br />

reduced scale models. A novel method for evalu<strong>at</strong>e pollutant <strong>dispersion</strong> from vehicles<br />

taking into account the effects of non uniform distribution of pollutant emissions due to<br />

traffic queuing was also investig<strong>at</strong>ed.<br />

M<strong>at</strong>hem<strong>at</strong>ical modeling was performed for scenario analysis purposes and involved<br />

several models, using <strong>different</strong> approaches: second gener<strong>at</strong>ion Gaussian plume models,<br />

Gaussian puff models, Eulerian grid models, chemical and multiscale approaches were<br />

applied. M<strong>at</strong>hem<strong>at</strong>ical models were also evalu<strong>at</strong>ed by means of st<strong>at</strong>istical valid<strong>at</strong>ion<br />

techniques and uncertainty analysis methods.<br />

The experimental results allowed to improve our knowledge of the <strong>dispersion</strong><br />

phenomena occurring in real <strong>urban</strong> canopies, and provided reliable d<strong>at</strong>a sets for model<br />

valid<strong>at</strong>ion, improvement and development.<br />

2


The applic<strong>at</strong>ion of m<strong>at</strong>hem<strong>at</strong>ical models to several emission scenarios and the rel<strong>at</strong>ed<br />

evalu<strong>at</strong>ion work, highlighted advantages and limit<strong>at</strong>ion of the adopted approaches, and<br />

permitted to develop an effective tool for <strong>air</strong> quality management and assessment in<br />

<strong>urban</strong> area.<br />

3


Acknowledgements<br />

I would like to thank my supervisors, Prof. Ennio Carnevale and Prof. Alan Robins for<br />

their support. I would like to thank Prof. Carnevale for allowing me to pursue this PhD<br />

and Prof. Robins for hosting me <strong>at</strong> the EnFlo, in Guildford, and for giving me the<br />

opportunity to collabor<strong>at</strong>e <strong>at</strong> DAPPLE-HO project. My most heartfelt thank goes to<br />

Prof. Andrea Corti for his excellent advice and discussion on all aspects of my research,<br />

and his constant support, encouragement and personal involvement.<br />

Many thanks to Mr. M<strong>at</strong>teo Carpentieri for the indispensable collabor<strong>at</strong>ion and for the<br />

insightful advice during these years. I would also like to express my gr<strong>at</strong>eful to my other<br />

colleagues <strong>at</strong> the Dipartimento di Energetica, especially Mrs. Lidia Lombardi, Ms.<br />

Isabella Pecorini, Mr. Giacomo Cenni and Mr. Lorenzo Burberi, for their kindness and<br />

cheerfulness th<strong>at</strong> kept me going when the going was tough.<br />

I also wish to acknowledge the very much appreci<strong>at</strong>ed help of the staff and researchers<br />

<strong>at</strong> EnFlo, namely, th<strong>at</strong> of Dr. Paul Hayden, Ms. Frauke Pascheke, Mr. Tom Lawton and<br />

Mr. Allan Wells.<br />

The work rel<strong>at</strong>ed to this research carried out by James Hamilton during their gradu<strong>at</strong>ion<br />

thesis was also very appreci<strong>at</strong>ed.<br />

I gr<strong>at</strong>efully acknowledge the support and the collabor<strong>at</strong>ion of the staff <strong>at</strong> the ‘Settore<br />

Qualit`a dell’Aria, Rischi Industriali, Prevenzione e Riduzione Integr<strong>at</strong>a<br />

dell’Inquinamento’ of Tuscan Regional Administr<strong>at</strong>ion (Mr. Mario Romanelli and Mr.<br />

Furio Forni in particular) and of the Air Quality groups of LaMMA (namely, Dr.<br />

Francesca Calastrini, Mr. Giovanni Gualtieri and Mrs. C<strong>at</strong>erina Busillo) and ARPAT<br />

(namely, Dr. Silvia Maltagli<strong>at</strong>i and Dr. Franco Giovannini) during the MoDiVaSET-2<br />

project.<br />

Many, many thanks is due to my wonderful family and my special girlfriend, Lucrezia;<br />

I’m gr<strong>at</strong>eful for all the care, love and infinite p<strong>at</strong>ience demonstr<strong>at</strong>ed during these last<br />

months of PhD.<br />

4


Public<strong>at</strong>ions by the author during thesis research<br />

Modelling traffic pollutant concentr<strong>at</strong>ion fluctu<strong>at</strong>ions and dosages in <strong>urban</strong> area<br />

through wind tunnel experiments Giambini P, Robins AG, Hayden P, Corti A, 7th<br />

Intern<strong>at</strong>ional conference on Air Quality – Science and Applic<strong>at</strong>ion, Istanbul, Turkey,<br />

24-27 March, 2009. To be presented<br />

Intercomparison, sensitivity and uncertainty analysis between <strong>different</strong> <strong>urban</strong><br />

<strong>dispersion</strong> models applied to an Air Quality Action Plan in Tuscany, Italy Giambini<br />

P, Carpentieri M, Corti A, Poster present<strong>at</strong>ion and paper, 12th Intern<strong>at</strong>ional Conference<br />

on Harmonis<strong>at</strong>ion within Atmospheric Dispersion Modelling for Regul<strong>at</strong>ory Purposes,<br />

Cavt<strong>at</strong>, Cro<strong>at</strong>ia, 6-9 Ottobre, 2008<br />

Modelling tracer <strong>dispersion</strong> from landfills. Carpentieri M, Giambini P, Corti A,<br />

Environmental Modeling and Assessment 13 (2008), pp. 415-429<br />

Accumul<strong>at</strong>ion chamber method and landfill gas diffuse emissions monitoring Corti<br />

A, Lombardi L, Pecorini I, Carpentieri M, Giambini P, Spoken present<strong>at</strong>ion and paper,<br />

SIDISA 2008 – Simposio internazionale di Ingegneria Sanitaria Ambientale, Firenze,<br />

24-27 Giugno, 2008<br />

Landfill gas emission monitoring: direct and indirect methodologies Corti A,<br />

Carpentieri M, Giambini P, Lombardi L, Pecorini I. In: Velini AA (ed.), Landfill<br />

Research Trends, Chapter 1, Nova Science Publishers, 2007 (ISBN 978-1-60021-776-0)<br />

Uncertainty and valid<strong>at</strong>ion of <strong>urban</strong> scale <strong>modelling</strong> systems applied to scenario<br />

analysis in Tuscany, Italy. Carpentieri M, Giambini P, Corti A, Spoken present<strong>at</strong>ion<br />

and paper, 11th Intern<strong>at</strong>ional Conference on Harmonis<strong>at</strong>ion within Atmospheric<br />

Dispersion Modelling for Regul<strong>at</strong>ory Purposes, Cambridge, UK, 2-5 July, 2007<br />

5


Wind tunnel experiments of flow and <strong>dispersion</strong> in idealised <strong>urban</strong> areas<br />

Carpentieri M, Giambini P, Corti A, Poster present<strong>at</strong>ion <strong>at</strong> 28th NATO/CCMS<br />

Intern<strong>at</strong>ional Technical Meeting on Air Pollution Modelling and Its Applic<strong>at</strong>ion,<br />

Leipzig, Germany, 15-19 May, 2006 and paper in ‘Air Pollution Modeling and Its<br />

Applic<strong>at</strong>ion XVIII’, Editors Borrego C and Renner E, Elsevier, 2007 (ISBN 978-0-444-<br />

52987-9)<br />

Modelling emission scenarios in Tuscany: the MoDiVaSET project Corti A, Busillo<br />

C, Calastrini F, Carpentieri M, Giambini P and Gualtieri G, Spoken present<strong>at</strong>ion and<br />

paper, 15th IUAPPA Regional Conference, Lille, France, 6-8 September, 2006.<br />

6


Table of Contents<br />

Abstract 2<br />

Acknowledgements 4<br />

Public<strong>at</strong>ions by the author during thesis research 5<br />

Table of Contents 7<br />

List of Figures 10<br />

List of Tables 15<br />

List of Tables 15<br />

List of Symbols 16<br />

1. Introduction 20<br />

1.1 Background 20<br />

1.2 Motiv<strong>at</strong>ion and aims of the research 24<br />

1.3 Scope of research and simplifying assumptions 27<br />

1.4 Outline of the Thesis 29<br />

2. Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> <strong>dispersion</strong> modeling and evalu<strong>at</strong>ion methods 30<br />

2.1 Introduction 30<br />

2.2 The <strong>air</strong> <strong>pollution</strong> problem 30<br />

2.2.1 Definition 30<br />

2.2.2 Components of an <strong>air</strong> <strong>pollution</strong> problem 31<br />

2.2.3 Source of <strong>air</strong> <strong>pollution</strong> 32<br />

2.2.4 The <strong>at</strong>mosphere structure and dynamics 34<br />

2.2.5 Effects of <strong>air</strong> <strong>pollution</strong> 37<br />

2.2.6 Solutions 39<br />

2.2.7 The role of modeling 42<br />

2.3 Scales of pollutant transport in the <strong>at</strong>mosphere 43<br />

2.3.1 Space and time <strong>scales</strong> in the <strong>urban</strong> context 47<br />

2.4 Modelling methods applied to <strong>urban</strong> <strong>dispersion</strong> 52<br />

2.4.1 The range and types of <strong>urban</strong> <strong>dispersion</strong> models 52<br />

2.4.2 Field experiments 55<br />

2.4.3 Physical models 56<br />

2.4.4 St<strong>at</strong>istical models 58<br />

2.4.5 Parametric models 58<br />

2.4.6 Comput<strong>at</strong>ional models 60<br />

2.4.7 Multiscale approach 66<br />

7


2.5 City scale and regional scale <strong>modelling</strong> 67<br />

2.5.1 Flow and <strong>dispersion</strong> phenomena 67<br />

2.5.2 Experimental <strong>modelling</strong> 74<br />

2.5.3 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> 75<br />

2.6 Neighbourhood scale <strong>modelling</strong> 79<br />

2.6.1 Flow and <strong>dispersion</strong> phenomena 79<br />

2.6.2 Experimental <strong>modelling</strong> 82<br />

2.6.3 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> 83<br />

2.7 Street scale <strong>modelling</strong> 86<br />

2.7.1 Flow and <strong>dispersion</strong> phenomena 87<br />

2.7.2 Experimental <strong>modelling</strong> 92<br />

2.7.3 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> 95<br />

2.8 Multi-scale <strong>modelling</strong> 98<br />

2.9 Model evalu<strong>at</strong>ion of <strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong> 102<br />

2.9.1 Model evalu<strong>at</strong>ion and model quality assurance 103<br />

2.9.2 Model valid<strong>at</strong>ion 106<br />

2.9.3 Uncertainty analysis 109<br />

3. Neighbourhood/street scale <strong>modelling</strong> by means of wind tunnel methods 115<br />

3.1 Introduction 115<br />

3.2 Background on wind tunnel <strong>modelling</strong> 116<br />

3.2.1 The simul<strong>at</strong>ion of the PBL flow 116<br />

3.2.2 The physical model 120<br />

3.2.3 Emission and <strong>dispersion</strong> simul<strong>at</strong>ion 122<br />

3.3 The EnFlo Labor<strong>at</strong>ory wind tunnel 124<br />

3.4 Experimental str<strong>at</strong>egy 126<br />

3.5 Tracer <strong>dispersion</strong> experiments 132<br />

3.5.1 Moving source experiments 136<br />

3.5.2 Correl<strong>at</strong>ion experiments 139<br />

3.5.3 Quality assurance of the wind tunnel d<strong>at</strong>a 144<br />

4. City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods 149<br />

4.1 Introduction 149<br />

4.2 Background on m<strong>at</strong>hem<strong>at</strong>ical <strong>dispersion</strong> <strong>modelling</strong> 149<br />

4.2.1 The theoretical basis of m<strong>at</strong>hem<strong>at</strong>ical <strong>dispersion</strong> <strong>modelling</strong> 149<br />

4.2.2 Gaussian model 152<br />

4.2.3 Eulerian grid models 165<br />

4.3 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> str<strong>at</strong>egy 171<br />

4.4 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> applic<strong>at</strong>ions 173<br />

4.4.1 Introduction 173<br />

4.4.2 D<strong>at</strong>a pre- and post-processing 175<br />

4.5 Model evalu<strong>at</strong>ion 186<br />

4.5.1 Introduction 186<br />

4.5.2 Valid<strong>at</strong>ion and sensitivity analysis 187<br />

8


4.5.3 Uncertainty analysis 193<br />

4.6 Scenario analysis 195<br />

5. Neighbourood/Street scale results 197<br />

5.1 Introduction 197<br />

5.2 Moving source experiments 199<br />

5.2.1 Concentr<strong>at</strong>ion vs. receptor loc<strong>at</strong>ion 200<br />

5.2.2 Concentr<strong>at</strong>ion vs. source loc<strong>at</strong>ion 210<br />

5.2.3 Dose estim<strong>at</strong>ion 218<br />

5.3 Correl<strong>at</strong>ion experiment results 226<br />

5.3.1 Undisturbed boundary layer 226<br />

5.3.2 Dapple model 231<br />

5.4 Discussion of the relevance and applic<strong>at</strong>ion of the results 239<br />

6. City scale results 242<br />

6.1 Introduction 242<br />

6.2 Modelling applic<strong>at</strong>ions 242<br />

6.3 Model evalu<strong>at</strong>ion 247<br />

6.3.1 Sensitivity study of ADMS-Urban 247<br />

6.3.2 Valid<strong>at</strong>ion exercise 250<br />

6.3.3 Uncertainty analysis 255<br />

6.4 Scenario analysis 258<br />

6.5 Discussion of the relevance and applic<strong>at</strong>ion of the results 264<br />

7. Conclusions 267<br />

7.1 Summary of main findings and conclusions 267<br />

7.2 Limit<strong>at</strong>ions and recommend<strong>at</strong>ions for future research 269<br />

References 271<br />

9


List of Figures<br />

Figure 1-1 The <strong>air</strong> quality system and rel<strong>at</strong>ed monitoring and <strong>modelling</strong> studies<br />

(adapted from Scaperdas, 2000)..................................................................22<br />

Figure 1-2 Optimal model applic<strong>at</strong>ion (Zannetti, 1990) ...............................................25<br />

Figure 2-1 Schem<strong>at</strong>ic of the components of the <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> problem (Seinfeld<br />

1986)............................................................................................................32<br />

Figure 2-2 Schem<strong>at</strong>ic present<strong>at</strong>ion of a typical development of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong><br />

levels. Depending upon the time of initi<strong>at</strong>ion of emission control the<br />

stabilis<strong>at</strong>ion and subsequent improvement of the <strong>air</strong> quality may occur<br />

sooner or l<strong>at</strong>er in the development. (Based on WHO/UNEP, 1992; Mage et<br />

al., 1996)......................................................................................................34<br />

Figure 2-3 The vertical structure of the <strong>at</strong>mosphere: average temper<strong>at</strong>ure vari<strong>at</strong>ion with<br />

altitude (from Arya, 1999) ..........................................................................36<br />

Figure 2-4 A schem<strong>at</strong>ic represent<strong>at</strong>ion of the Tropospheric sub-layers .......................36<br />

Figure 2-5 Sp<strong>at</strong>ial and temporal <strong>scales</strong> of <strong>at</strong>mospheric phenomena (Oke, 1987).........46<br />

Figure 2-6 Urban <strong>dispersion</strong> <strong>scales</strong> defined according to Hall et al. (1996).................50<br />

Figure 2-7 Eulerian (a) and Lagrangian (b) reference system for the <strong>at</strong>mospheric<br />

motion (Zannetti, 1990)...............................................................................61<br />

Figure 2-8 Urban he<strong>at</strong> island with light regional wind (left) and <strong>urban</strong> plume with<br />

moder<strong>at</strong>e regional wind (right) [Zannetti 1990]..........................................68<br />

Figure 2-9 Schem<strong>at</strong>ic of the flow through and over an <strong>urban</strong> area (Britter and Hanna<br />

2003)............................................................................................................69<br />

Figure 2-10 Regimes of flow over obstacle arrays .........................................................72<br />

Figure 2-11 Components of a comprehensive <strong>air</strong> quality model. From Seinfeld (1986)76<br />

Figure 2-12 An illustr<strong>at</strong>ion of the model SAMPU (Theurer et al., 1996).......................84<br />

Figure 2-13 The <strong>different</strong> components of SIRANE. (a) Modelling a district by a network<br />

of streets. (b) Box model for each street, with corresponding flux balance.<br />

(c) Fluxes <strong>at</strong> a street intersection. (d) Modified Gaussian plume for rooflevel<br />

transport..............................................................................................85<br />

Figure 2-14 Characteristics of street canyon (Ahmad et al. 2005) .................................87<br />

Figure 2-15 Pollutant <strong>dispersion</strong> in a regular street canyon............................................88<br />

Figure 2-16 Flow field <strong>at</strong> a street intersection (Robins and Macdonald, 2001)..............90<br />

Figure 2-17 Schem<strong>at</strong>ic of the <strong>modelling</strong> system developed by Soulhac et al.(2003).....99<br />

Figure 2-18 The THOR integr<strong>at</strong>ed model system (NERI, 2008)..................................100<br />

Figure 2-19 Components of Model Quality Assurance ................................................104<br />

Figure 2-20 Types of uncertainty present in transport and transform<strong>at</strong>ions model<br />

applic<strong>at</strong>ions and their interrel<strong>at</strong>ionships (based on Georgopoulos, 1995) 110<br />

Figure 2-21 Optimal model choice th<strong>at</strong> minimizes the total uncertainties (Hanna, 1989)<br />

111<br />

Figure 2-22 Schem<strong>at</strong>ic diagram showing flow of d<strong>at</strong>a into and out of the <strong>at</strong>mospheric<br />

<strong>dispersion</strong> model, and three c<strong>at</strong>egories of uncertainty th<strong>at</strong> can be introduced<br />

(Colvile et al., 2002)..................................................................................113<br />

Figure 3-1 Schem<strong>at</strong>ic of a boundary layer simul<strong>at</strong>ion system in an <strong>at</strong>mospheric wind<br />

tunnel.........................................................................................................117<br />

Figure 3-2 Factors which determine the length of wind tunnel working section needed<br />

to undertake a plume <strong>dispersion</strong> simul<strong>at</strong>ion..............................................120<br />

Figure 3-3 Schem<strong>at</strong>ic of the Enflo meteorological wind tunnel .................................125<br />

10


Figure 3-4 Aerial view (left) and 3D rendering (right) of the Dapple test site ...........127<br />

Figure 3-5 Several views of the Dapple model in the wind tunnel.............................127<br />

Figure 3-6 Irwin spires and surface roughness (left) and mean flow vertical profiles<br />

(right) in the EnFlo wind tunnel................................................................128<br />

Figure 3-7 Plan view of the Dapple model, showing the model coordin<strong>at</strong>es system and<br />

wind directions analyzed in the experiments ............................................129<br />

Figure 3-8 Instrument<strong>at</strong>ion set-up for <strong>dispersion</strong> experiment <strong>at</strong> EnFlo labor<strong>at</strong>ory.....132<br />

Figure 3-9 CAMBUSTION FFID for hydrocarbon concentr<strong>at</strong>ion measurements;<br />

support equipment (left) and head with its sampling tube mounted on the 3-<br />

D traverse in the wind tunnel (right) .........................................................133<br />

Figure 3-10 System used for the tracer release: pipes mounted on the 1-D traverse<br />

mechanism (left) and aerodynamic stack (right).......................................135<br />

Figure 3-11 Flow control systems: HITEC electronic flow meters (left) and rotameters<br />

(right).........................................................................................................135<br />

Figure 3-12 Source and receptor loc<strong>at</strong>ions for the GLC investig<strong>at</strong>ion: -90° (top) and<br />

+90° model orient<strong>at</strong>ion (bottom)...............................................................137<br />

Figure 3-13 Map of the Dapple model showing the wind direction, the source and<br />

receptor loc<strong>at</strong>ions studied in the investig<strong>at</strong>ion of concentr<strong>at</strong>ions <strong>at</strong> <strong>different</strong><br />

heights .......................................................................................................138<br />

Figure 3-14 Combin<strong>at</strong>ion of receptor and reference source loc<strong>at</strong>ions in the correl<strong>at</strong>ion<br />

experiment: main (top) and secondary intersection along Dorset Square -<br />

Melcombe Road ........................................................................................143<br />

Figure 3-15 Repe<strong>at</strong>ed mean concentr<strong>at</strong>ion (top) and variance (bottom) using <strong>different</strong><br />

sampling time (arbitrary ±5% and ±15% error bars are shown for reference)<br />

144<br />

Figure 3-16 Error test: correl<strong>at</strong>ion coefficient and correl<strong>at</strong>ion error for increasing<br />

sampling time ............................................................................................145<br />

Figure 3-17 Repe<strong>at</strong>ed correl<strong>at</strong>ion measurements (left) and rel<strong>at</strong>ive errors (right) using<br />

<strong>different</strong> sampling time: inline with source (top) and offset (bottom)<br />

receptor loc<strong>at</strong>ions ......................................................................................146<br />

Figure 3-18 Repe<strong>at</strong>ed correl<strong>at</strong>ion measurements and rel<strong>at</strong>ive errors using <strong>different</strong><br />

measuring procedure: sequential measures (procedure 1) and separ<strong>at</strong>ed<br />

experiments (procedure 2) for c1 2 , c2 2 and cB 2 ...........................................148<br />

Figure 4-1 Coordin<strong>at</strong>e system for the Gaussian plume model....................................153<br />

Figure 4-2 Gaussian plume with reflexion and virtual source: single (left) and multiple<br />

reflexions (right)........................................................................................154<br />

Figure 4-3 The segmented plume approach (Zannetti, 1990).....................................155<br />

Figure 4-4 Segmented plume or puff represent<strong>at</strong>ion in SAFE AIR............................159<br />

Figure 4-5 Element series represented by series of equivalent finite line sources (left)<br />

and mixing zone (right) of CALINE4 .......................................................162<br />

Figure 4-6 Schem<strong>at</strong>ic of ADMS-Urban input and output...........................................163<br />

Figure 4-7 Area studied in the MoDiVaSET-2 project...............................................171<br />

Figure 4-8 Meteorological st<strong>at</strong>ions for the MoDiVaSET-2 project............................176<br />

Figure 4-9 Point sources included in the IRSE-RT, 2001...........................................177<br />

Figure 4-10 Line sources included in the IRSE-RT, 2001............................................177<br />

Figure 4-11 Annual NOx emission of line sources (Mg/km year) included in the IRSE-<br />

RT 2001.....................................................................................................178<br />

Figure 4-12 Annual PM10 emission of line sources (Mg/km year) included in the IRSE-<br />

RT 2001.....................................................................................................178<br />

11


Figure 4-13 Annual SOx emission of line sources (Mg/km year) included in the IRSE-<br />

RT 2001.....................................................................................................179<br />

Figure 4-14 Annual NOx emission of grid area sources (kg/km 2 year) included in the<br />

IRSE-RT 2001...........................................................................................179<br />

Figure 4-15 Annual PM10 emission of grid area sources (kg/km 2 year) included in the<br />

IRSE-RT 2001...........................................................................................180<br />

Figure 4-16 Annual SOx emission of grid area sources (kg/km 2 year) included in the<br />

IRSE-RT 2001...........................................................................................180<br />

Figure 4-17 Virtual meteorological st<strong>at</strong>ions used for the CALINE4 simul<strong>at</strong>ions ........182<br />

Figure 4-18 Pre- and post-processing for the CALINE4 simul<strong>at</strong>ions in the MoDiVaSET<br />

project........................................................................................................183<br />

Figure 4-19 Virtual meteorological st<strong>at</strong>ions used for the SAFE AIR simul<strong>at</strong>ions .......185<br />

Figure 4-20 Pre- and post-processing of SAFE AIR in the MoDiVaSET project........185<br />

Figure 4-21 Monitoring st<strong>at</strong>ions in the MoDiVaSET domain ......................................186<br />

Figure 5-1 Plots of the (non-dimensional) mean concentr<strong>at</strong>ion against receptor loc<strong>at</strong>ion<br />

along Dorset square/Melcombe Street for <strong>different</strong> source loc<strong>at</strong>ions along<br />

Marylebone road .......................................................................................201<br />

Figure 5-2 Plots of the (non-dimensional) concentr<strong>at</strong>ion variances against receptor<br />

loc<strong>at</strong>ion along Dorset square/Melcombe Street for <strong>different</strong> source loc<strong>at</strong>ions<br />

along Marylebone road..............................................................................202<br />

Figure 5-3 Plots of the (non-dimensional) mean concentr<strong>at</strong>ions against receptor<br />

loc<strong>at</strong>ion along the three street considered (Bickenhall St, top graphs, York<br />

St, center graphs, and Crawford St, bottom graphs) for <strong>different</strong> source<br />

loc<strong>at</strong>ions along Marylebone road ..............................................................207<br />

Figure 5-4 Plots of the (non-dimensional) concentr<strong>at</strong>ion variances against receptor<br />

loc<strong>at</strong>ion along the three street considered (Bickenhall St, top graphs, York<br />

St, center graphs, and Crawford St, bottom graphs) for <strong>different</strong> source<br />

loc<strong>at</strong>ions along Marylebone road ..............................................................208<br />

Figure 5-5 Comparison of the (non-dimensional) mean concentr<strong>at</strong>ions (left) and<br />

variances (right) against receptor loc<strong>at</strong>ion along Bickenhall St, York St and<br />

Crawford St with source loc<strong>at</strong>ed <strong>at</strong> the Marylebone road-Gloucester Place<br />

intersection ................................................................................................209<br />

Figure 5-6 Non-dimensional mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone road for <strong>different</strong> receptor loc<strong>at</strong>ions and heights along Dorset<br />

square/Melcombe Street............................................................................212<br />

Figure 5-7 Non-dimensional mean concentr<strong>at</strong>ion due to a steady line source in<br />

Marylebone Road for <strong>different</strong> receptor loc<strong>at</strong>ions and heights along Dorset<br />

square/Melcombe Street............................................................................213<br />

Figure 5-8 Non-dimensional mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone Rd for ground level receptor loc<strong>at</strong>ions inside the street canyon<br />

of Melcombe St: leeward side, X=515mm, windward side, X=580mm and<br />

center of the street canyon, X=580mm .....................................................214<br />

Figure 5-9 Non-dimensional mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone Rd for <strong>different</strong> receptor loc<strong>at</strong>ions and height in the north side<br />

of Dorset Square (Y=-845)........................................................................215<br />

Figure 5-10 Non-dimensional mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone road for ground level (Z=10mm) receptor loc<strong>at</strong>ions along<br />

Bickenhall Street (top-left), York Street (bottom) and Crawford Street (topright)<br />

..........................................................................................................216<br />

12


Figure 5-11 Non-dimensional mean concentr<strong>at</strong>ion due to a steady line source in<br />

Marylebone Road for receptor loc<strong>at</strong>ions in Bickenhall St, York St and<br />

Crawford St ...............................................................................................216<br />

Figure 5-12 Comparison of the (non-dimensional) mean concentr<strong>at</strong>ions (left) and<br />

variances (right) against source loc<strong>at</strong>ion <strong>at</strong> Marylebone Rd for receptor<br />

loc<strong>at</strong>ions in Bickenhall St (Y=-340mm), York St (Y=-719mm) and<br />

Crawford St (Y=-1080mm).......................................................................217<br />

Figure 5-13 Non-dimensional mean dose <strong>at</strong> ground level receptors along Melcombe<br />

St/Dorset Sq for <strong>different</strong> driving scenarios..............................................220<br />

Figure 5-14 Non-dimensional mean dose <strong>at</strong> ground level receptors along Bickenhall St<br />

for <strong>different</strong> driving scenarios ...................................................................220<br />

Figure 5-15 Non-dimensional mean dose <strong>at</strong> ground level receptors along York St for<br />

<strong>different</strong> driving scenarios.........................................................................221<br />

Figure 5-16 Non-dimensional mean dose <strong>at</strong> ground level receptors along Crawford St<br />

for <strong>different</strong> driving scenarios ...................................................................221<br />

Figure 5-17 Schem<strong>at</strong>ic of the experimental field campaign carried out on November ‘04<br />

in the framework of the DAPPLE-HO project (Shallcross et al., 2005)...223<br />

Figure 5-18 Car speed and position during experiment 1 (top) and 2 (bottom) carried out<br />

on November ‘04 in the framework of the DAPPLE-HO project (Shallcross<br />

et al., 2005)................................................................................................224<br />

2 2<br />

Figure 5-19 Non dimensional c 1 , c 2 and ( ) 2<br />

c 1 + c2<br />

against source separ<strong>at</strong>ion (left<br />

graphs) and inferred correl<strong>at</strong>ion (right) for receptor loc<strong>at</strong>ions inline with the<br />

reference source (X=0mm) <strong>at</strong> <strong>different</strong> distances (Y=270, 540 and 1080<br />

mm) ...........................................................................................................228<br />

2 2<br />

Figure 5-20 Non dimensional c 1 , c 2 and ( ) 2<br />

c 1 + c2<br />

against source separ<strong>at</strong>ion (left<br />

graphs) and inferred correl<strong>at</strong>ion (right) for receptor loc<strong>at</strong>ions inline with the<br />

reference source (X=0mm) <strong>at</strong> <strong>different</strong> downstream distances (Y= 540 and<br />

1080 mm) ..................................................................................................229<br />

Figure 5-21 Correl<strong>at</strong>ion coefficient - Downstream distances of receptors inline with the<br />

ref. source (X=0 mm) profiles for fixed source separ<strong>at</strong>ion (± 50 and ± 100<br />

mm) ...........................................................................................................230<br />

2 2<br />

Figure 5-22 Comparison of non-dimensional c 1 , c 2 and ( ) 2<br />

c 1 + c2<br />

against source<br />

separ<strong>at</strong>ion (top) and correl<strong>at</strong>ion (bottom) obtained with Dapple Model and<br />

UBL for receptor <strong>at</strong> (X=0 mm, Y=540 mm) and reference source <strong>at</strong><br />

(X=0mm, Y=0mm)....................................................................................233<br />

2 2<br />

Figure 5-23 Comparison of non-dimensional c 1 , c 2 and ( ) 2<br />

c 1 + c2<br />

against source<br />

separ<strong>at</strong>ion (top) and correl<strong>at</strong>ion (bottom) obtained with Dapple Model and<br />

UBL for receptor <strong>at</strong> (X=100 mm, Y=540 mm) and reference source <strong>at</strong><br />

(X=0mm, Y=0mm)....................................................................................234<br />

Figure 5-24 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources (X=-<br />

100, -50, 0 and 50 mm, Y=0 mm) <strong>at</strong> receptor (X=0 mm, Y=540mm).....234<br />

Figure 5-25 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources (X=-<br />

100, -50, 0 and 50 mm, Y=0 mm) <strong>at</strong> receptor (X=-150 mm, Y=540 mm)<br />

235<br />

Figure 5-26 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources (X=-<br />

100, and 0 mm, Y=0 mm) <strong>at</strong> receptor (X=-75 mm, Y=540 mm) .............235<br />

Figure 5-27 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources<br />

(X=300, and 400 mm, Y=0 mm) <strong>at</strong> receptor (X=390 mm, Y=540 mm) ..235<br />

13


Figure 5-28 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources<br />

(X=300, and 400 mm, Y=0 mm) <strong>at</strong> receptor (X=240 mm, Y=540 mm) ..236<br />

Figure 5-29 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources<br />

(X=300, and 400 mm, Y=0 mm) <strong>at</strong> receptor (X=75 mm, Y=540 mm) ....236<br />

Figure 6-1 NOx annual mean concentr<strong>at</strong>ion maps [µg/m3]: ADMS-Urban (top-left<br />

map), CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right) 243<br />

Figure 6-2 NO2 annual mean concentr<strong>at</strong>ion maps [µg/m3]: ADMS-Urban (top-left<br />

map), CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right) 243<br />

Figure 6-3 PM10 annual mean concentr<strong>at</strong>ion maps [µg/m3]: ADMS-Urban (top-left<br />

map), CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right) 244<br />

Figure 6-4 SO2 annual mean concentr<strong>at</strong>ion maps [µg/m3]: ADMS-Urban (top-left<br />

map), CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right) 244<br />

Figure 6-5 Sc<strong>at</strong>ter (left) and quantile-quantile (right) plots........................................249<br />

Figure 6-6 Sc<strong>at</strong>ter (top) and quantile-quantile (bottom) of the observed and predicted<br />

NO2 concentr<strong>at</strong>ions for background sites (left) and roadside sites (right) 251<br />

Figure 6-7 Sc<strong>at</strong>ter (top) and quantile-quantile (bottom) of the observed and predicted<br />

PM10 concentr<strong>at</strong>ions for background sites (left) and roadside sites (right)<br />

252<br />

Figure 6-8 Maps of RME of the NO2 annual mean concentr<strong>at</strong>ion: ADMS (top-left),<br />

CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right)..........257<br />

Figure 6-9 Maps of RME of the NO2 annual mean concentr<strong>at</strong>ion: ADMS (top-left),<br />

CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right)..........257<br />

Figure 6-10 NO2 annual mean concentr<strong>at</strong>ions [µg/m3] of actual (top-left) and future<br />

scenario (top-right) and rel<strong>at</strong>ive percentage difference.............................259<br />

Figure 6-11 NO2 maximum hourly mean concentr<strong>at</strong>ions [µg/m3] of actual (top-left) and<br />

future scenario (top-right) and rel<strong>at</strong>ive percentage difference (bottom) ...259<br />

Figure 6-12 PM10 annual mean concentr<strong>at</strong>ions [µg/m3] of actual (top-left) and future<br />

scenario (top-right) and rel<strong>at</strong>ive percentage difference (bottom)..............260<br />

Figure 6-13 PM10 maximum daily mean concentr<strong>at</strong>ions [µg/m3] of actual (top-left) and<br />

future scenario (top-right) and rel<strong>at</strong>ive percentage difference (bottom) ...260<br />

Figure 6-14 NO2 annual mean concentr<strong>at</strong>ions [µg/m3]. Comparison between actual (left<br />

maps) and future scenario(right) concentr<strong>at</strong>ions due to the <strong>different</strong> sources:<br />

POINT (first row), IND (second row), LINE (third row) and ROAD (fourth<br />

row) ...........................................................................................................262<br />

Figure 6-15 NO2 annual mean concentr<strong>at</strong>ions [µg/m3]. Comparison between actual (left<br />

maps) and future scenario (right maps) concentr<strong>at</strong>ions due to <strong>different</strong> types<br />

of source: HEAT (first row) and OTHER (second row)...........................263<br />

Figure 6-16 Maximum, mean and minimum r<strong>at</strong>ios, Ri-all (percentage), for the actual (top<br />

graphs) and future scenarios (bottom graphs) of NO2 and PM10 ..............263<br />

14


List of Tables<br />

Table 2-1 Atmospheric <strong>dispersion</strong> <strong>scales</strong> based on horizontal distance from the<br />

source, according to Oke (1987) .................................................................44<br />

Table 2-2 Horizontal and vertical transport <strong>scales</strong> in the <strong>at</strong>mosphere (adapted from<br />

Boeker et al., 1995) .....................................................................................45<br />

Table 2-3 Urban <strong>dispersion</strong> <strong>scales</strong> (as defined by Britter and Hanna, 2003) ..............48<br />

Table 2-4 Urban <strong>dispersion</strong> <strong>modelling</strong> methods: experimental, parametric and<br />

comput<strong>at</strong>ional ..............................................................................................54<br />

Table 2-5 Urban <strong>dispersion</strong> <strong>modelling</strong> approaches, meso- to micro-scale (Scaperdas,<br />

2000)............................................................................................................55<br />

Table 2-6 Classific<strong>at</strong>ion of commonly used <strong>dispersion</strong> models <strong>at</strong> the street scale<br />

(Vardoulakis et al., 2003)............................................................................95<br />

Table 2-7 Examples of the sources of uncertainty in the formul<strong>at</strong>ion and applic<strong>at</strong>ion<br />

of transport-transform<strong>at</strong>ion models (Isukapalli, 1999) .............................112<br />

Table 4-1 Estim<strong>at</strong>ion of the standard devi<strong>at</strong>ion of the wind direction based on the<br />

stability class .............................................................................................183<br />

Table 4-2 Modelling quality objectives established by European Directives ...........192<br />

Table 5-1 Comparison of doses (in non-dimensional form) measured in the field<br />

campaign and estim<strong>at</strong>ed from wind tunnel experiment<strong>at</strong>ion.....................225<br />

Table 6-1 NOx annual concentr<strong>at</strong>ion <strong>at</strong> the monitoring st<strong>at</strong>ions: comparison between<br />

observ<strong>at</strong>ions and calcul<strong>at</strong>ed d<strong>at</strong>a by ADMS, CGPL, CGSA and CAMx..245<br />

Table 6-2 NO2 annual concentr<strong>at</strong>ion <strong>at</strong> the monitoring st<strong>at</strong>ions: comparison between<br />

observ<strong>at</strong>ions and calcul<strong>at</strong>ed d<strong>at</strong>a by ADMS, CGPL, CGSA and CAMx..246<br />

Table 6-3 PM10 annual concentr<strong>at</strong>ion <strong>at</strong> the monitoring st<strong>at</strong>ions: comparison between<br />

observ<strong>at</strong>ions and calcul<strong>at</strong>ed d<strong>at</strong>a by ADMS, CGPL, CGSA and CAMx..246<br />

Table 6-4 SO2 annual concentr<strong>at</strong>ion <strong>at</strong> the monitoring st<strong>at</strong>ions: comparison between<br />

observ<strong>at</strong>ions and calcul<strong>at</strong>ed d<strong>at</strong>a by ADMS, CGPL, CGSA and CAMx..247<br />

Table 6-5 Base scenario parameters ..........................................................................248<br />

Table 6-6 Sensitivity scenarios..................................................................................248<br />

Table 6-7 St<strong>at</strong>istical indices based on annual mean concentr<strong>at</strong>ions of NO2. Model<br />

performances are defined acceptable if FA2>0.5, -0.3


L<strong>at</strong>in symbols<br />

Ad mean lot area<br />

Af mean frontal area.<br />

List of Symbols<br />

Ap mean plan area<br />

c (pollutant) concentr<strong>at</strong>ion fluctu<strong>at</strong>ion<br />

c 2<br />

(pollutant) concentr<strong>at</strong>ion variance<br />

C mean (pollutant) concentr<strong>at</strong>ion<br />

C* non-dimensional mean concentr<strong>at</strong>ion<br />

Cdb Drag coefficient for the buildings<br />

Co Observed concentr<strong>at</strong>ion<br />

Cp specific he<strong>at</strong> of <strong>air</strong> <strong>at</strong> constant pressure<br />

Cs Simul<strong>at</strong>ed concentr<strong>at</strong>ion<br />

COR correl<strong>at</strong>ion coefficient<br />

d zero displacement height<br />

ds stack diameter<br />

Ec Eckert number<br />

f general function<br />

FA2 Fraction within a factor of 2<br />

Fr Froude number<br />

FB buoyancy flux<br />

FM momentum flux<br />

FB Fractional bias<br />

FS Fractional sigma<br />

g Gravit<strong>at</strong>ional acceler<strong>at</strong>ion<br />

H (Mean) building(s) height or canyon height<br />

h Mixing height<br />

hs height of source above ground or stack height<br />

Hs Surface he<strong>at</strong> flux<br />

Ki pollutant concentr<strong>at</strong>ion eddy diffusivity<br />

16


L length of street canyons or reference length<br />

LMO Monin-Obukhov length<br />

NMSE Normalized mean square error<br />

NNR NMSE of the distribution of normalised r<strong>at</strong>ios<br />

Pe Peclet Number<br />

Pr Prandtl number<br />

PBL Planet boundary layer<br />

Q volumetric pollutant source strength<br />

QM (pollutant) mass flux<br />

Re Reynolds number<br />

Rib Bulk Richardson Number<br />

Ro Rossby number<br />

RME Rel<strong>at</strong>ive maximum error<br />

S Length of a line source<br />

Sc Schmidt number<br />

SD Standard devi<strong>at</strong>ion<br />

t time<br />

T <strong>air</strong> temper<strong>at</strong>ure<br />

u* friction velocity<br />

ui flow velocity vector component<br />

ui′ turbulence velocity component<br />

U longitudinal mean velocity component<br />

UH approach free stream velocity <strong>at</strong> mean building height<br />

Uref free stream velocity <strong>at</strong> reference height<br />

UBL undisturbed boundary layer<br />

Vs settling velocity<br />

Vd deposition velocity<br />

W building width<br />

Ws initial emission velocity of the source<br />

WNNR Weighted NMSE of the normalised r<strong>at</strong>ios<br />

X, Y, Z Dapple model coordin<strong>at</strong>es<br />

x longitudinal (along flow) direction (or component)<br />

y l<strong>at</strong>eral direction (or component)<br />

17


z vertical direction (or component)<br />

zo surface roughness length<br />

Greek symbols<br />

α molecular diffusivity<br />

δ boundary layer height<br />

θ potential temper<strong>at</strong>ure<br />

κ Von Karman’s constant<br />

λf array frontal density<br />

λp array plan density<br />

µ molecular viscosity<br />

ν kinem<strong>at</strong>ic diffusivity<br />

ρ <strong>air</strong> density<br />

ρs density of the emission<br />

σx, σy, σz Standard devi<strong>at</strong>ion in direction x, y, z of a Gaussian distribution<br />

Ω Generic angular velocity vector<br />

Ω0 Earth’s angular velocity<br />

Oper<strong>at</strong>ors and not<strong>at</strong>ion<br />

G Scalar quantity<br />

Gi Component of a vector<br />

Gij Component of a 2D m<strong>at</strong>rix<br />

dG<br />

dF<br />

Total deriv<strong>at</strong>ive of G with respect to F<br />

∂G<br />

∂F<br />

Partial deriv<strong>at</strong>ive of G with respect to F<br />

generic average<br />

x longitudinal (along flow) direction (or component)<br />

y l<strong>at</strong>eral direction (or component)<br />

z vertical direction (or component)<br />

i cartesian tensor not<strong>at</strong>ion suffix<br />

18


* non-dimensional quantity<br />

ref reference value suffix<br />

19


1.1 Background<br />

Chapter 1<br />

1.Introduction<br />

The <strong>air</strong> <strong>pollution</strong> constitutes today one of the main environmental concerns of the<br />

popul<strong>at</strong>ion and of the political authorities. Even if this interest is particularly increased<br />

during last decades, the <strong>air</strong> <strong>pollution</strong> constitutes nevertheless an old problem; human<br />

activities have caused <strong>air</strong> <strong>pollution</strong> ever since our ancestors began building fires (Arya<br />

1999). During Antiquity, several authors like Hippocr<strong>at</strong>es or Seneque mentioned<br />

<strong>at</strong>mospheric harmful effect. With the Middle Ages, the first rules were taken in England<br />

to limit the <strong>air</strong> <strong>pollution</strong> due to the coal use (Brimblecombe, 1987). The industrial<br />

revolution of XIX century and the rural migr<strong>at</strong>ion contributed to g<strong>at</strong>her more and more<br />

inhabitants in increasingly polluted <strong>urban</strong> centers. This evolution led to extreme<br />

situ<strong>at</strong>ions, as the c<strong>at</strong>astrophe due to the coal smokes which occurred in London in 1952<br />

and caused the de<strong>at</strong>h of more than 4000 people. During XX century, the development of<br />

the chemical and oil industries led to a diversific<strong>at</strong>ion of the pollutants, while the<br />

demographic explosion involved a considerable rise of the energy needs and<br />

consequently an increase of the <strong>pollution</strong> caused by the production of this energy.<br />

Moreover, the appearance of the car gener<strong>at</strong>ed new emissions which were going to<br />

become, one century l<strong>at</strong>er, the main cause of <strong>urban</strong> <strong>pollution</strong>; the increase in traffic<br />

volume within the densely built and poorly ventil<strong>at</strong>ed <strong>urban</strong> areas is a worrying trend,<br />

especially since increasingly larger popul<strong>at</strong>ions live and work in cities.<br />

This aggrav<strong>at</strong>ion of the situ<strong>at</strong>ion caused an awakening of the policy makers and of the<br />

popul<strong>at</strong>ion. Increasingly severe rules were adopted to limit the emissions of pollutants,<br />

in particular those of industrial origin, but removing pollutant emissions is neither<br />

practically possible nor always desirable (indeed nowadays industrial activities and<br />

vehicles are necessary and important for a high quality of life); thinking about a<br />

‘reduction’ is more realistic and this can allow us to reach an equilibrium between<br />

industrial development and the n<strong>at</strong>ural environment (environmental sustainability).<br />

20


Chapter 1 Introduction<br />

Assessing and managing <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> is a very complex problem, implying many<br />

scientific specialties, like meteorology, fluid mechanics, chemistry, medicine, <strong>urban</strong><br />

planning, etc. Each one of these disciplines approaches only one small part of the<br />

problems and it can be interesting in order to have a more general sight of the <strong>air</strong><br />

<strong>pollution</strong> problem. The research presented in this thesis is part of the wider effort<br />

towards improving the existing understanding of the <strong>urban</strong> <strong>air</strong> quality system, which<br />

forms the basis of <strong>air</strong> quality management practices and policy.<br />

As illustr<strong>at</strong>ed in Figure 1-1, the <strong>urban</strong> <strong>air</strong> quality system involves four main elements<br />

acting in sequence, from cause to effect. Pollutant ‘emissions’, the fundamental cause of<br />

the <strong>air</strong> <strong>pollution</strong> problem, form the left end of the system. The next stage is the process<br />

of ‘<strong>dispersion</strong>’, whereby pollutants emitted by vehicles are transported, diluted and<br />

chemically transformed in the <strong>at</strong>mosphere. This cre<strong>at</strong>es a distribution of pollutant<br />

concentr<strong>at</strong>ions, to which receptors of <strong>air</strong> <strong>pollution</strong> (e.g. people, veget<strong>at</strong>ion, and<br />

buildings) become ‘exposed’. At the right end of the system, the ‘impact’ of <strong>air</strong><br />

<strong>pollution</strong> is the adverse effect resulting from exposure to <strong>air</strong> <strong>pollution</strong> (Scaperdas 2000).<br />

The issue th<strong>at</strong> <strong>at</strong>tracts most of the <strong>at</strong>tention of the media and the policy makers is the<br />

right end of the <strong>air</strong> quality system, since the impact of <strong>air</strong> <strong>pollution</strong> on human health is<br />

the primary concern. However, one of the main interests of the authorities is to be able<br />

to know the consequences induced by a modific<strong>at</strong>ion of the causes of the problem. This<br />

is the reason for which the modeling of the pollutant <strong>dispersion</strong> is the base of the <strong>air</strong><br />

<strong>pollution</strong> study; the understanding of these processes provides the causal link between<br />

emissions and impact, a crucial part of both <strong>urban</strong> <strong>air</strong> quality assessment and<br />

management.<br />

The first response to the growth of concern about <strong>air</strong> quality in cities was an increase of<br />

the efforts in <strong>air</strong> <strong>pollution</strong> monitoring. In other words, the first obvious step was to<br />

extend the monitoring networks in order to evalu<strong>at</strong>e the extension and the entity of the<br />

problem. However, these networks control a limited number of receptors, and there are<br />

no guarantees th<strong>at</strong> they are truly represent<strong>at</strong>ive of the <strong>air</strong> quality, especially in situ<strong>at</strong>ions<br />

such as large <strong>urban</strong> areas or in presence of complex terrain (see, e.g., Scaperdas and<br />

Colvile, 1999).<br />

21


Chapter 1 Introduction<br />

Figure 1-1 The <strong>air</strong> quality system and rel<strong>at</strong>ed monitoring and <strong>modelling</strong> studies<br />

(adapted from Scaperdas, 2000)<br />

Air <strong>pollution</strong> models can be used in a complementary manner to <strong>air</strong> quality<br />

measurements, with due regard for the strengths and the weaknesses of both analysis<br />

techniques. However, as st<strong>at</strong>ed by Seinfeld (1975), <strong>air</strong> quality models have become a<br />

primary tool for analysis in most <strong>air</strong> quality assessments mainly for the following<br />

reasons:<br />

1. Establishing emission control legisl<strong>at</strong>ion; i.e. determining the maximum<br />

allowable emission r<strong>at</strong>es th<strong>at</strong> will meet fixed <strong>air</strong> quality standards<br />

2. Evalu<strong>at</strong>ing proposed emission control techniques and str<strong>at</strong>egies; i.e., evalu<strong>at</strong>ing<br />

the impacts of future control<br />

3. Selecting loc<strong>at</strong>ions of future sources of pollutants, in order to minimize their<br />

environmental impacts<br />

4. Planning the control of <strong>air</strong> <strong>pollution</strong> episodes; i.e., defining immedi<strong>at</strong>e<br />

intervention str<strong>at</strong>egies (i.e. warning systems and real-time short term emission<br />

reduction str<strong>at</strong>egies) to avoid severe <strong>air</strong> <strong>pollution</strong> episodes in a certain region<br />

5. Assessing responsibility for existing <strong>air</strong> <strong>pollution</strong> levels; i.e., evalu<strong>at</strong>ing present<br />

source-receptor rel<strong>at</strong>ionship<br />

22


Chapter 1 Introduction<br />

Air quality <strong>modelling</strong> is an indispensable tool for all the above analyses. It is, however,<br />

only a tool. Modeling, like monitoring, is not the solution of the <strong>air</strong> <strong>pollution</strong> problem.<br />

Monitoring and modeling studies constitute only an activity whose results, if properly<br />

valid<strong>at</strong>ed, can provide useful inform<strong>at</strong>ion for possible future implement<strong>at</strong>ions of<br />

emission and control str<strong>at</strong>egies. The important role of <strong>modelling</strong> in <strong>air</strong> quality<br />

assessment and management is also recognized by the European legisl<strong>at</strong>ion (Council<br />

Directive 96/92/EC on Air Quality Assessment and Management and following<br />

directives), which recommends to use inform<strong>at</strong>ion from three main assessment methods<br />

(measurements, emission inventories and <strong>modelling</strong>).<br />

The research presented in this thesis falls within the field of <strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong>,<br />

i.e. linking emissions to concentr<strong>at</strong>ions. The issue has been addressed by considering<br />

the problem <strong>at</strong> <strong>different</strong> <strong>scales</strong> and resolutions, with particular <strong>at</strong>tention to the smallest<br />

<strong>scales</strong>, where the effects on human health are most significant because of the proximity<br />

between the emission sources (vehicles) and the potential receptors (popul<strong>at</strong>ion).<br />

A major pollutant source within a city is vehicle emissions and this leads to interactions<br />

between mobility, <strong>air</strong> quality, and the possible regul<strong>at</strong>ion of vehicles in cities.<br />

Dispersion of <strong>pollution</strong> from vehicles within <strong>urban</strong> areas is a particular difficult task and<br />

is less understood than <strong>dispersion</strong> from industrial sources in rural areas, despite its<br />

obvious importance (Louka et al., 2000). The added difficulty in <strong>modelling</strong> <strong>dispersion</strong><br />

in the <strong>urban</strong> environment is mainly due to the complexity of the boundary conditions<br />

associ<strong>at</strong>ed with the three-dimensional shape (topography) of the <strong>urban</strong> canopy. The<br />

interaction of the <strong>at</strong>mosphere with the <strong>urban</strong> canopy leads to complex localized mean<br />

flow p<strong>at</strong>terns and enhanced turbulence around the buildings, where the majority of both<br />

sources and receptors of pollutants are situ<strong>at</strong>ed. Modelling such phenomenons is<br />

currently one of the most challenging problems in the field of the environmental fluid<br />

dynamics; <strong>urban</strong> areas are complex networks of interconnected streets and buildings,<br />

and localised flows in the spaces between buildings and streets can affect overall<br />

dilution and cre<strong>at</strong>e significant small-scale sp<strong>at</strong>ial vari<strong>at</strong>ions of pollutant concentr<strong>at</strong>ions.<br />

Consequently, it is important to extend the study about the <strong>dispersion</strong> from traffic <strong>at</strong> the<br />

smallest <strong>scales</strong>, not only for assessing personal exposure to pollutants in the vicinity of<br />

roads, but also because <strong>air</strong> quality in a city as a whole is assessed on the basis of d<strong>at</strong>a<br />

from a few <strong>urban</strong> monitoring sites.<br />

23


Chapter 1 Introduction<br />

In this thesis, st<strong>at</strong>e-of-the-art wind tunnel experimental techniques have been used to<br />

understand the <strong>dispersion</strong> from traffic sources <strong>at</strong> the smallest <strong>scales</strong>, while advanced<br />

parametric models and multi-<strong>scales</strong> approaches have been used to model <strong>air</strong> quality in<br />

large <strong>urban</strong> areas. The model evalu<strong>at</strong>ion process and quality assurance have received<br />

particular <strong>at</strong>tention in this work. Practical applic<strong>at</strong>ions of the results presented in this<br />

thesis include the developement of techniques for <strong>modelling</strong> pollutant <strong>dispersion</strong> from<br />

vehicles <strong>at</strong> neighbourhood scale and the applic<strong>at</strong>ion of st<strong>at</strong>e-of-the-art <strong>modelling</strong> chains<br />

for the management and assessment of <strong>air</strong> quality basing on emission scenarios.<br />

1.2 Motiv<strong>at</strong>ion and aims of the research<br />

The research presented in this thesis was motiv<strong>at</strong>ed by the need to improve, and extend<br />

the scope of existing <strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong> approaches. Urban emissions occur<br />

mainly within or nearly above the canopy layer, i.e. within a zone where the <strong>at</strong>mosphere<br />

flow is heavily disturbed by buildings and other obstacles; it is well known th<strong>at</strong>, in<br />

comparison to unobstructured terrain, buildings effects can change local concentr<strong>at</strong>ions<br />

by more than one order of magnitude (Sch<strong>at</strong>zmann and Leitl, 2002). As a consequence,<br />

understanding the flow of the wind through and above the <strong>urban</strong> area and/or the<br />

<strong>dispersion</strong> of m<strong>at</strong>erial in th<strong>at</strong> flow is necessary in order to obtain reliable tools for the<br />

management and assessment of <strong>urban</strong> <strong>air</strong> quality (Britter and Hanna, 2003).<br />

In this thesis these issues have been addressed by considering the problem <strong>at</strong> <strong>different</strong><br />

<strong>scales</strong>. At each of the <strong>scales</strong> there are observ<strong>at</strong>ions from the field and the labor<strong>at</strong>ory th<strong>at</strong><br />

are interpreted in terms of various physical (and often chemical) processes. These<br />

processes, once recognized, are often combined and reformed into m<strong>at</strong>hem<strong>at</strong>ical models<br />

th<strong>at</strong> can form a hierarchy of complexity or sophistic<strong>at</strong>ion: each model has its own<br />

regime of applicability and accuracy. A detailed interpret<strong>at</strong>ion <strong>at</strong> one scale is commonly<br />

parameterized to assist interpret<strong>at</strong>ion <strong>at</strong> the next larger scale (Britter and Hanna, 2003).<br />

In the scientific community a big variety of <strong>modelling</strong> techniques exist for <strong>urban</strong><br />

<strong>dispersion</strong> <strong>modelling</strong>, but because of the complexity of the problem many processes <strong>at</strong><br />

all the involved <strong>scales</strong> still need to be further investig<strong>at</strong>ed, beginning from the most<br />

relevant, i.e. <strong>air</strong> <strong>pollution</strong> from car exhaust gas. Nevertheless, <strong>urban</strong> models are widely<br />

24


Chapter 1 Introduction<br />

used for impact assessment and <strong>air</strong> quality management. The optimal applic<strong>at</strong>ion of a<br />

<strong>dispersion</strong> model for control str<strong>at</strong>egies analysis, due to the big quantities of uncertainties<br />

involved (model physics, n<strong>at</strong>ural or stochastic and input d<strong>at</strong>a uncertainties), should<br />

incorpor<strong>at</strong>e calibr<strong>at</strong>ion and evalu<strong>at</strong>ion procedure with local <strong>air</strong> quality monitoring and<br />

experimental d<strong>at</strong>a (field or labor<strong>at</strong>ory) in order to determine its applicability and<br />

minimize forecasting errors to the specific study case (see Figure 1-2 , Zannetti, 1990).<br />

Figure 1-2 Optimal model applic<strong>at</strong>ion (Zannetti, 1990)<br />

Only models th<strong>at</strong> have been verified should be reliably used for future forecasting.<br />

Calibr<strong>at</strong>ion and evalu<strong>at</strong>ion are, however, difficult in many cases, when sufficient<br />

monitoring and experimental d<strong>at</strong>a are not available. As a consequence, one of the most<br />

important limit<strong>at</strong>ions for the development of <strong>urban</strong> <strong>dispersion</strong> models is the lack of<br />

experimental d<strong>at</strong>a. In order to overcome this problem it is necessary to extend<br />

experimental d<strong>at</strong>a sets especially for the most relevant process implic<strong>at</strong>ed in the <strong>urban</strong><br />

<strong>air</strong> quality problem, i.e. <strong>pollution</strong> from traffic <strong>at</strong> the local/neighbourhood scale. With<br />

25


Chapter 1 Introduction<br />

this purpose in these thesis wind tunnel experiments of pollutant <strong>dispersion</strong> from<br />

vehicles traffic were performed with a model of a real <strong>urban</strong> area and considering both<br />

mean and fluctu<strong>at</strong>ion concentr<strong>at</strong>ions; particular <strong>at</strong>tention was given to the effect on<br />

localised emissions of traffic flow and queuing associ<strong>at</strong>ed with street intersections. All<br />

these aspects have not been considered in the scientific liter<strong>at</strong>ure up to now; most of the<br />

works used a line source in order to simul<strong>at</strong>e vehicle <strong>pollution</strong> emission (uniform<br />

emission th<strong>at</strong> doesn’t allow to consider the effects of <strong>different</strong> traffic conditions, i.e.<br />

congestion, stops and waits <strong>at</strong> the intersections), and focuse on simple geometries, i.e.<br />

<strong>urban</strong> street canyon (for example, Meroney et al. 1996, Kastner-Klein and Pl<strong>at</strong>e 1999,<br />

Pavageau 1999).<br />

By <strong>modelling</strong> the pollutant <strong>dispersion</strong> from traffic <strong>at</strong> <strong>urban</strong> canyon intersections, it was<br />

envisaged th<strong>at</strong> current understanding on idealised, isol<strong>at</strong>ed <strong>urban</strong> canyons could be<br />

extended to include the effect of interactions between neighboring canyons, helping to<br />

bridge the gap between street canyon and building array <strong>modelling</strong> approaches. This<br />

knowledge could be used in connection to models oper<strong>at</strong>ing <strong>at</strong> a wider scale (<strong>urban</strong><br />

scale), with the aim of taking into account traffic impacts <strong>at</strong> the neighbourhood scale.<br />

For this purpose an assessment of the existing oper<strong>at</strong>ional models results is essential and<br />

the applic<strong>at</strong>ion of multi-scale <strong>modelling</strong> techniques in perspective seems to be very<br />

interesting and powerful.<br />

Besides experimental work, the focus of the thesis has been on oper<strong>at</strong>ional models. In<br />

particular, the interest is on models suitable for Integr<strong>at</strong>ed Assessment Modelling<br />

(IAM). Because of the large economic, public health and environmental impacts often<br />

associ<strong>at</strong>ed with the use of <strong>air</strong> quality model results, it is important th<strong>at</strong> these models be<br />

properly evalu<strong>at</strong>ed (Chang and Hanna, 2004). For this reason, during the thesis,<br />

particular <strong>at</strong>tention has been given to the model evalu<strong>at</strong>ion process. Because there is not<br />

a single best performance measure or best evalu<strong>at</strong>ion methodology, a suite of <strong>different</strong><br />

performance measures and procedures, including various model evalu<strong>at</strong>ion (Chang and<br />

Hanna, 2004) and uncertainty methods (Colvile et al. 2002, Stern and Fleming 2007,<br />

Denby et al. 2007), has been applied and discussed. Often broad estim<strong>at</strong>es r<strong>at</strong>her than<br />

exact calcul<strong>at</strong>ions are used as basis for the decision processes in <strong>urban</strong> <strong>air</strong> quality<br />

management; assessing the uncertainties deriving from the <strong>modelling</strong> process is<br />

therefore a very important issue.<br />

26


Chapter 1 Introduction<br />

The main objectives of the thesis research were therefore defined as follows:<br />

1. To study the pollutant <strong>dispersion</strong> from motor vehicles in <strong>urban</strong> street canyons<br />

and intersections (microscale approach) using advanced experimental <strong>modelling</strong><br />

techniques (wind tunnel).<br />

2. To set an original <strong>modelling</strong> technique for evalu<strong>at</strong>ing the effects of <strong>different</strong><br />

traffic conditions (free flow, congestion, queuing <strong>at</strong> the intersection, etc,…) in<br />

terms of pollutant <strong>dispersion</strong><br />

3. To evalu<strong>at</strong>e current oper<strong>at</strong>ional <strong>urban</strong> <strong>dispersion</strong> models suitable for<br />

management and assessment of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong>, with particular <strong>at</strong>tention to<br />

the performances, limit<strong>at</strong>ions and uncertainties of <strong>different</strong> approaches (multisource,<br />

multi-scale and full-chemistry).<br />

4. To develop an effective tool for <strong>air</strong> quality management and assessment in <strong>urban</strong><br />

area.<br />

5. To use both experimental and m<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> techniques (wind tunnel<br />

and oper<strong>at</strong>ional models) to study the pollutant <strong>dispersion</strong> in <strong>urban</strong> area.<br />

6. To suggest ways in which existing <strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong> could be<br />

improved on the basis of the research on all the issues mentioned above.<br />

1.3 Scope of research and simplifying assumptions<br />

Urban <strong>air</strong> quality <strong>modelling</strong> was studied using <strong>different</strong> approaches. At the smallest<br />

scale (micro and neighbourhood scale, see section 2.2) the research regarded, in<br />

particular, <strong>dispersion</strong> of pollutant from vehicles, th<strong>at</strong> is the cause of much concern about<br />

the effects of <strong>urban</strong> <strong>air</strong> quality on human health. The performed research was mainly<br />

experimental (wind tunnel) and regarded a model of a real (simplified) <strong>urban</strong> area<br />

loc<strong>at</strong>ed in central London and analysis in terms of mean concentr<strong>at</strong>ion and fluctu<strong>at</strong>ion,<br />

th<strong>at</strong> is a very signific<strong>at</strong>ive parameter for the evalu<strong>at</strong>ion of the maximum human<br />

27


Chapter 1 Introduction<br />

exposure specially in <strong>urban</strong> area. This was studied in the framework of the DAPPLE-<br />

HO project (see section 3.4).<br />

At larger <strong>scales</strong> an applic<strong>at</strong>ion of st<strong>at</strong>e-of-the-art <strong>dispersion</strong> models in <strong>urban</strong> areas was<br />

realized; <strong>different</strong> approaches (multi source, full chemistry, multi-scale) were applied<br />

and compared. The <strong>modelling</strong> applic<strong>at</strong>ion was performed for the MoDiVaSET-2 project<br />

(see section 4.3), funded by the Regional Authority of Tuscany for the development of<br />

an integr<strong>at</strong>ed meteorological and <strong>dispersion</strong> <strong>modelling</strong> system which can be reliably<br />

used for simul<strong>at</strong>ing and evalu<strong>at</strong>ing <strong>different</strong> future emission scenarios in order to<br />

understand the weight of the <strong>different</strong> emission sources (road traffic, industrial sites and<br />

domestic he<strong>at</strong>ing) and establishing the efficiency of the environmental actions th<strong>at</strong><br />

could be adopted to ensure compliance with the <strong>air</strong> quality limits in an Air Quality<br />

Action plan.<br />

The <strong>different</strong> approaches were evalu<strong>at</strong>ed and discussed focusing particularly on issues<br />

rel<strong>at</strong>ed to the development of integr<strong>at</strong>ed assessment models and multi-scale <strong>urban</strong><br />

<strong>dispersion</strong> models for <strong>air</strong> quality management. The performed research covers a wide<br />

range of research topics, and therefore cannot be exhaustive. Several issues, such as<br />

traffic gener<strong>at</strong>ed turbulence, <strong>different</strong>ial he<strong>at</strong>ing effects and long-range pollutant<br />

transport, have been neglected. However the results of the work carried out during the<br />

thesis research can constitute a useful basis for further research and for the development<br />

of reliable tools for <strong>air</strong> quality management in <strong>urban</strong> areas.<br />

The wind tunnel experiments were performed in the large <strong>at</strong>mospheric boundary layer<br />

wind tunnel of the Environmental Flow Labor<strong>at</strong>ory, University of Surrey (EnFlo). Some<br />

of the most widespread <strong>urban</strong> and regional scale models were used for model<br />

intercomparison purposes: CALINE4, CALPUFF, CALGRID, ADMS-Urban, SAFE<br />

AIR and CAMx.<br />

The scope of research defined above is original, and involves a variety of disciplines<br />

and areas of expertise: <strong>urban</strong> <strong>air</strong> quality assessment and <strong>modelling</strong>, wind tunnel<br />

<strong>modelling</strong>, wind engineering, <strong>urban</strong> meteorology.<br />

28


Chapter 1 Introduction<br />

1.4 Outline of the Thesis<br />

The thesis is structured into eight chapters. Chapter 2 is a review of <strong>urban</strong> <strong>dispersion</strong><br />

<strong>modelling</strong>, with an emphasis on the evalu<strong>at</strong>ion processes and on oper<strong>at</strong>ional models<br />

used <strong>at</strong> <strong>different</strong> sp<strong>at</strong>ial <strong>scales</strong>. The research str<strong>at</strong>egy and methods used in this work are<br />

described and discussed in two separ<strong>at</strong>e chapters: neighbourhood scale study through<br />

wind tunnel experimental methods are presented in chapter 3, and <strong>urban</strong>/regional scale<br />

study by means of m<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> and evalu<strong>at</strong>ion methods in chapter 4.<br />

The results of the wind tunnel experiments carried out within the DAPPLE project are<br />

presented in chapter 5, while chapter 6 reports results from the MoDiVaSET project,<br />

consisting of m<strong>at</strong>hem<strong>at</strong>ical models simul<strong>at</strong>ions, model evalu<strong>at</strong>ion exercises and scenario<br />

analyses. Also practical applic<strong>at</strong>ions of these results and their relevance within the<br />

wider context of <strong>urban</strong> <strong>air</strong> quality <strong>modelling</strong> and integr<strong>at</strong>ed assessment <strong>modelling</strong> are<br />

discussed in these chapters.<br />

The main findings and conclusions of this thesis are drawn together in chapter 8,<br />

together with a discussion of the limit<strong>at</strong>ions of this work and recommend<strong>at</strong>ions for<br />

future research.<br />

29


Chapter 2<br />

2.Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> <strong>dispersion</strong> modeling and<br />

2.1 Introduction<br />

evalu<strong>at</strong>ion methods<br />

In this chapter, the wider context of the thesis is presented through a review of <strong>urban</strong><br />

<strong>dispersion</strong> modeling and model evalu<strong>at</strong>ion methods, with a focus on the aspects<br />

correl<strong>at</strong>ed with the analysis of <strong>different</strong> space and time <strong>scales</strong>. In the section 2.2, a short<br />

outline of the complex problem of the <strong>urban</strong> <strong>air</strong> <strong>pollution</strong>, through an inventory of the<br />

causes, consequences and solutions is discussed. Classific<strong>at</strong>ion of <strong>urban</strong> <strong>dispersion</strong><br />

models according to space and time scale is discussed in section 2.3. Existing <strong>urban</strong><br />

<strong>dispersion</strong> <strong>modelling</strong> methods and practices are described in 2.4. Sequent sections (2.5-<br />

2.8) presents the main findings and model applic<strong>at</strong>ions of past research in the field of<br />

<strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong>; the topic is discussed separ<strong>at</strong>ely for each relevant scale<br />

(city and regional <strong>scales</strong>, section 2.5, neighbourhood scale, section 2.6, street scale,<br />

section 2.7, and multiscale approach, section 2.8), which are rel<strong>at</strong>ed to or relevant to the<br />

issues and arguments discussed in this thesis. Each subsection starts with a general<br />

description of the flow and <strong>dispersion</strong> phenomena <strong>at</strong> the considered scale, followed by a<br />

review of the most relevant experimental (full scale and in the labor<strong>at</strong>ory) and<br />

m<strong>at</strong>hem<strong>at</strong>ical works. In 2.9 the current practices in <strong>dispersion</strong> model evalu<strong>at</strong>ion are<br />

presented.<br />

2.2 The <strong>air</strong> <strong>pollution</strong> problem<br />

2.2.1 Definition<br />

The <strong>air</strong> <strong>pollution</strong> is a complex phenomenon, which was the subject of multiple<br />

definitions. Progressively, with advanced knowledge, the term <strong>pollution</strong> covered<br />

increasingly various realities. In a general way, the <strong>air</strong> <strong>pollution</strong> is defined by the<br />

consequences which it involves, from the simple olfactive embarrassment to<br />

harmfulness mortal. According to some authorities, the concept of <strong>pollution</strong> corresponds<br />

30


Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

only to the consequences of the human activity, whereas others include the <strong>pollution</strong> of<br />

n<strong>at</strong>ural origin (volcanic eruptions, forests fires...). The definition of the Council of<br />

Europe (March 1968) summarizes these various nuances:<br />

There is <strong>air</strong> <strong>pollution</strong> when the presence of a foreign substance or a significant<br />

vari<strong>at</strong>ion in the proportion of its components is likely to cause a harmful effect,<br />

taking into account scientific knowledge of the moment, or to cre<strong>at</strong>e a harmful<br />

effect or an embarrassment.<br />

2.2.2 Components of an <strong>air</strong> <strong>pollution</strong> problem<br />

Air <strong>pollution</strong> problem has three main components:<br />

1. emission sources th<strong>at</strong> produce <strong>air</strong> pollutants,<br />

2. the <strong>at</strong>mosphere in which transport, diffusion, chemical transform<strong>at</strong>ions and removal<br />

processes occur,<br />

3. receptors near the ground th<strong>at</strong> respond to trace amounts of <strong>air</strong> pollutants reaching<br />

them.<br />

Thus, <strong>air</strong> <strong>pollution</strong> is an interdisciplinary problem whose study and solution require<br />

interdisciplinary efforts by scientists, engineers, environmental protection agencies,<br />

legisl<strong>at</strong>ors, and the public <strong>at</strong> large.<br />

Figure 2-1 represent a schem<strong>at</strong>ic of the various components of the <strong>air</strong> <strong>pollution</strong> problem<br />

on a local/<strong>urban</strong> scale. Control is represented <strong>at</strong> three points. Of these, control <strong>at</strong> the<br />

emission source (source control) is the most efficient, feasible and practical. Legisl<strong>at</strong>ive<br />

action has become commonplace, particularly in developed country. Autom<strong>at</strong>ic control<br />

of emissions based on detector response is rarely used. As a result of the various control<br />

measures adopted, <strong>air</strong> quality has improved appreciably over the past 25 years (Arya<br />

1999).<br />

31


Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Figure 2-1 Schem<strong>at</strong>ic of the components of the <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> problem<br />

(Seinfeld 1986)<br />

2.2.3 Source of <strong>air</strong> <strong>pollution</strong><br />

The <strong>at</strong>mospheric sources of pollutants are very varied, by their n<strong>at</strong>ure (accidental,<br />

chronic) or by their origin (n<strong>at</strong>ural, anthropic). Many n<strong>at</strong>ural mechanisms emit harmful<br />

compounds for the man and disturb some fragile environmental balances. The<br />

contribution of the human emissions strongly comes to worsen the consequences of this<br />

<strong>pollution</strong>, in particular in <strong>urban</strong> environment where the density of popul<strong>at</strong>ion is high.<br />

According to their n<strong>at</strong>ure, the anthropic emissions have very <strong>different</strong> effects. The<br />

accidental releases of toxic products can be dram<strong>at</strong>ic and very often mortals (Seveso,<br />

Bhopal, Tchernobyl...). Chronic <strong>pollution</strong> has less spectacular immedi<strong>at</strong>e consequences<br />

but its cost for the society is certainly very significant especially in <strong>urban</strong> areas,<br />

although it is still difficult to evalu<strong>at</strong>e.<br />

The main sources of <strong>air</strong> <strong>pollution</strong> are as follows:<br />

a) N<strong>at</strong>ural emissions: The main source of n<strong>at</strong>ural origin is volcanic eruptions. Several<br />

million tonnes of pollutant gas and particles are rejected each year in the <strong>at</strong>mosphere.<br />

The violence of the eruptions can project these pollutants into the str<strong>at</strong>osphere. In some<br />

cases (Indonesia, 1815; MT St Helens, 1980), these pollutants form a cloud which<br />

covers the Earth during several months, reflecting the solar radi<strong>at</strong>ion and causing a fall<br />

of the average temper<strong>at</strong>ure. Forest or bush fires, frequent in certain areas (in Africa in<br />

particular), can also have consequences on the clim<strong>at</strong>e of these areas. The life cycle of<br />

32


Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

plants produces many toxic compounds (H2S, CH4, VOC) which contribute to the total<br />

assessment of emissions. Lastly, one can also quote other n<strong>at</strong>ural mechanisms like the<br />

lightning, the wind erosion or the maritime spray.<br />

b) Emissions of agricultural origin: The development of the intensive agriculture and<br />

the massive use of manure and pesticides cause <strong>pollution</strong> not only of w<strong>at</strong>er and grounds<br />

but also of the <strong>at</strong>mosphere, in the form of gas or aerosols. Furthermore methane is<br />

rejected by the livestock, which constitute a considerable share of the whole of the<br />

methane rejected into the <strong>at</strong>mosphere.<br />

c) Industrial emissions: Industry produces various pollutants (SO2, fluorine, heavy<br />

metals, NOX, PM10...). The sectors which reject the most significant quantities are the<br />

energy production (power st<strong>at</strong>ions), the chemical, oil and metallurgical industries, the<br />

inciner<strong>at</strong>ors of household refuse. Industry is also <strong>at</strong> the origin of the major part of the<br />

accidental releases.<br />

d) Domestic emissions: In <strong>urban</strong> environment, the contribution of the domestic he<strong>at</strong>ing<br />

is significant, in particular for the winter period. The pollutants emitted by the he<strong>at</strong>ing<br />

(CO2, CO, SO2, PM10, NOX) contribute not only to external <strong>pollution</strong> but also to the <strong>air</strong><br />

<strong>pollution</strong> inside the buildings.<br />

e) Transport emissions: The emissions of automobile origin constitute the main source<br />

of the <strong>urban</strong> <strong>air</strong> <strong>pollution</strong>. The improvement of the performances of the engines and the<br />

fuels compens<strong>at</strong>e with difficulty the continual increase in the automobile traffic. The<br />

main pollutants discharged by the vehicles are: CO2, CO, NOX, VOC, particles.<br />

Moreover, NOX is precursor of a secondary pollutant, ozone (O3). The other means of<br />

transport (<strong>air</strong>, railway, maritime, river) remain overall minority but can cause local<br />

effects, i.e. in the vicinity of the <strong>air</strong>ports or harbors.<br />

The <strong>at</strong>mospheric pollutant emissions th<strong>at</strong> need to be taken into consider<strong>at</strong>ion in<br />

assessment and management of ambient <strong>air</strong> are specified by Council Directives<br />

96/62/EC and 99/30/EC are the carbon oxides (CO and CO2), the nitrogen oxides (NO<br />

and NO2), the sulphur oxides (SO2), the Vol<strong>at</strong>ile Organic Compounds (VOC), the<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

particles (PM10, PM2.5), the heavy metals (lead, cadmium, mercury) and the Polycyclic<br />

Arom<strong>at</strong>ic hydrocarbons (PAH).<br />

The evolution of the <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> concentr<strong>at</strong>ions is illustr<strong>at</strong>ed by figure 2-2. After<br />

a long period of growth, the pollutant emissions tended to decrease during last years,<br />

particularly because of the technological improvements, the legisl<strong>at</strong>ion or the socioeconomic<br />

changes (decline of heavy industry to the profit of the services sector). Instead<br />

of it, a vast majority of the <strong>urban</strong> and sub<strong>urban</strong> popul<strong>at</strong>ion in the world is still exposed<br />

to conditions th<strong>at</strong> exceed <strong>air</strong> quality standards set by World Health Organiz<strong>at</strong>ion<br />

(WHO). In order to respect WHO guideline it is necessary to improve existing<br />

understanding of the <strong>urban</strong> <strong>air</strong> quality system, which forms the basis of <strong>air</strong> quality<br />

management practices and policy.<br />

Figure 2-2 Schem<strong>at</strong>ic present<strong>at</strong>ion of a typical development of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong><br />

levels. Depending upon the time of initi<strong>at</strong>ion of emission control the stabilis<strong>at</strong>ion and<br />

subsequent improvement of the <strong>air</strong> quality may occur sooner or l<strong>at</strong>er in the<br />

development. (Based on WHO/UNEP, 1992; Mage et al., 1996).<br />

2.2.4 The <strong>at</strong>mosphere structure and dynamics<br />

An understanding of the <strong>at</strong>mospheric processes is central in the <strong>urban</strong> <strong>air</strong> quality<br />

problem. Air <strong>pollution</strong> is not only an emission problem; it is also a we<strong>at</strong>her-rel<strong>at</strong>ed<br />

condition or phenomenon and, such as, should be considered one of the we<strong>at</strong>her hazards<br />

(Pielke, 1979). Pollutants are advected by the <strong>at</strong>mosphere’s wind flow p<strong>at</strong>terns, ranging<br />

from a local to a global scale. Diffusion is carried out by <strong>at</strong>mospheric turbulence, which<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

is gener<strong>at</strong>ed mechanically (due to velocity gradients), or thermally (due to temper<strong>at</strong>ure<br />

gradients), and is subsequently dissip<strong>at</strong>ed or enhanced depending on <strong>at</strong>mospheric<br />

conditions.<br />

The ‘scale’ of pollutant transport, <strong>at</strong> a particular distance from the source, is also a<br />

fundamental consider<strong>at</strong>ion in <strong>urban</strong> <strong>air</strong> quality <strong>modelling</strong>. The dominant mechanisms of<br />

advection and turbulent diffusion in the <strong>at</strong>mosphere differ sp<strong>at</strong>ially over a variety of<br />

vertical and longitudinal <strong>scales</strong>, depending on the vertical structure of the <strong>at</strong>mosphere<br />

and its meteorological systems. Identifying the scale of influence of a particular source<br />

or ensemble of sources of <strong>pollution</strong> is another important issue, since <strong>modelling</strong> pollutant<br />

concentr<strong>at</strong>ion <strong>at</strong> any given point usually depends on the rel<strong>at</strong>ive contribution of a<br />

multitude of sources, over the vast range of possible <strong>scales</strong> of transport in the<br />

<strong>at</strong>mosphere.<br />

The <strong>at</strong>mosphere has a vertical structure of layers, each with a distinctive temper<strong>at</strong>ure<br />

profile. Figure 2-3 shows the average temper<strong>at</strong>ure vari<strong>at</strong>ion with altitude in the<br />

<strong>at</strong>mosphere on the basis of which the structure of the <strong>at</strong>mosphere is defined.<br />

Nearly all <strong>air</strong> pollutants emitted from the surface of the Earth are dispersed and retained<br />

within the ‘troposphere’, the layer extending between the ground and an altitude of 9 to<br />

16km. There is little mixing between the troposphere and the str<strong>at</strong>osphere above, and<br />

thus the only pollutants th<strong>at</strong> can reach the str<strong>at</strong>osphere are rel<strong>at</strong>ively inert pollutants th<strong>at</strong><br />

remain in the troposphere over long times (e.g. CFCs). The troposphere is further<br />

divided into the ‘mixing layer’ and a ‘free’ layer aloft. The mixing layer or ‘planetary<br />

boundary layer’ (PBL) is the shear layer th<strong>at</strong> couples the <strong>at</strong>mosphere to the rough<br />

surface of the Earth. As any boundary layer over a rough surface, it can be further<br />

subdivided into the ‘outer’, ‘surface’ and ‘roughness’ sub-layers, on the basis of the<br />

<strong>different</strong> velocity and shear profiles in each sub-layer (Figure 2-4).<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Figure 2-3 The vertical structure of the <strong>at</strong>mosphere: average temper<strong>at</strong>ure<br />

vari<strong>at</strong>ion with altitude (from Arya, 1999)<br />

Figure 2-4 A schem<strong>at</strong>ic represent<strong>at</strong>ion of the Tropospheric sub-layers<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

The planetary boundary layer (PBL) is characterized (on average) by intense turbulent<br />

mixing, and is a ‘buffer zone’ in which he<strong>at</strong>, moisture and <strong>pollution</strong> from sources <strong>at</strong> the<br />

surface are stored for a few days, before being released into the rest of the troposphere.<br />

Turbulence in the mixing layer is gener<strong>at</strong>ed mechanically, due to vertical shear<br />

(vari<strong>at</strong>ion of wind speed with height), and thermally, due to temper<strong>at</strong>ure differences<br />

between the ground and the <strong>air</strong> above. Depending on the variable balance of thermal<br />

energy into and out of the PBL and corresponding temper<strong>at</strong>ure (and density) profiles,<br />

turbulence gener<strong>at</strong>ed in the layer may either be suppressed or enhanced.<br />

Atmospheric conditions are typically classified as ‘unstable’ when sources of energy<br />

outweigh sinks, ‘stable’ when the opposite is true, and ‘neutral’ in the case of<br />

equilibrium (Smith and Hunt, 1977). There is a particular vertical temper<strong>at</strong>ure (and<br />

density) gradient associ<strong>at</strong>ed with each regime, and the depth of the PBL also differs<br />

correspondingly.<br />

In an unstable PBL, temper<strong>at</strong>ure increases with height <strong>at</strong> a r<strong>at</strong>e th<strong>at</strong> causes buoyant<br />

mixing. Turbulent mixing is enhanced and large <strong>scales</strong> of turbulence due to convection<br />

can span the depth of the PBL, between 400 and 2000m. In a stable PBL, turbulence is<br />

suppressed, and the depth of the layer may be only few tens of meters to about 400m. In<br />

a neutral PBL (associ<strong>at</strong>ed with windy, cloudy <strong>at</strong>mospheric conditions) mechanically<br />

gener<strong>at</strong>ed turbulence is neither enhanced nor suppressed.<br />

2.2.5 Effects of <strong>air</strong> <strong>pollution</strong><br />

Our concern about <strong>air</strong> <strong>pollution</strong> is essentially a reflection of the accumul<strong>at</strong>ing evidence<br />

th<strong>at</strong> <strong>air</strong> pollutants adversely affect the health and the welfare of human beings.<br />

Extensive effects research has established th<strong>at</strong> <strong>air</strong> pollutants affect the health of humans<br />

and animals, damage veget<strong>at</strong>ion and m<strong>at</strong>erials, reduce visibility and solar radi<strong>at</strong>ion, and<br />

affect we<strong>at</strong>her and clim<strong>at</strong>e. Although some of the effects are direct, specific and<br />

measurable, such as damages to veget<strong>at</strong>ion and m<strong>at</strong>erials and visibility reduction, many<br />

other effects are indirect and more difficult to measure, such as health effects on human<br />

beings and animals (Arya, 1999). Comprehensive reviews effects of <strong>air</strong> <strong>pollution</strong> have<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

been given elsewhere (see e.g., Stern 1986; Godish 1991). Here only a brief summary of<br />

these effects is given.<br />

Effects on human health<br />

If the man is affected psychologically by the effects of the <strong>air</strong> <strong>pollution</strong> on his<br />

environment, his health is also directly sensitive to this <strong>pollution</strong>, knowing already th<strong>at</strong><br />

an adult inhales on average 11 m 3 of <strong>air</strong> per day. The pollutants present in the <strong>air</strong> assign<br />

health to short and long-term. At short term, they often act like factors starting or<br />

worsening for fragile people. By causing an irrit<strong>at</strong>ion of the lungs and a reduction in the<br />

respir<strong>at</strong>ory function, short-term <strong>pollution</strong> touches especially risk people like the<br />

children, the old people and the asthm<strong>at</strong>ic ones. The long-term effects of <strong>pollution</strong> are<br />

much more difficult to evalu<strong>at</strong>e. It would seem th<strong>at</strong> the particles worsen the risk of lung<br />

cancer. The carbon monoxide causes psychic diseases and worsens the cardiovascular<br />

diseases. The <strong>air</strong> <strong>pollution</strong> would also tend to decrease the life expectancy (Dockery et<br />

al., 1993). The impact of <strong>pollution</strong> on health thus depends on the n<strong>at</strong>ure of the<br />

pollutants, of the type of implied people but also of the amount received by the<br />

organism. The factors acting on this amount are the concentr<strong>at</strong>ion of pollutants, the<br />

exposure time and the physical activity. The effects of <strong>pollution</strong> on health represent a<br />

significant cost for the society (Arya 1999).<br />

Effects on veget<strong>at</strong>ion and animals<br />

The presence in the <strong>air</strong> of toxic substances disturbs fauna and the flora; a large number<br />

of food, forage, crops, as well as trees have been identified to be damages by <strong>air</strong><br />

pollutants. The effects are in the form of leaf damage, stunting of growth, decrease size<br />

and yield of fruits, and wilting and destruction of flowers. The scavenging of the acid<br />

compounds by precipit<strong>at</strong>ions allows a transfer of the <strong>at</strong>mospheric <strong>pollution</strong> towards<br />

w<strong>at</strong>er or grounds <strong>pollution</strong>. Thus, many forests and lakes of the north of Europe were<br />

seriously affected by these acid rains. Moreover, these pollutants are likely to be found<br />

in the drink w<strong>at</strong>er and the food chains (i.e. dioxins). The effects of <strong>pollution</strong> on certain<br />

plants, like the tobacco, are also used as a biological indic<strong>at</strong>or of the <strong>air</strong> <strong>pollution</strong>.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Effects on m<strong>at</strong>erials and structures<br />

Air pollutants affect m<strong>at</strong>erials by soiling or through chemical reactions. Damage of<br />

structural metals, building stones, surface co<strong>at</strong>ings, fabrics, rubber, le<strong>at</strong>her, paper and<br />

other m<strong>at</strong>erials occurs extensively. The acid rains degrade many m<strong>at</strong>erials, in particular<br />

the rocks limestones used in the construction of the buildings or the monuments, which<br />

are dissolved by the acid rains. To this irreparable erosion come to be added the stains<br />

caused by the deposit of the suspended particles in the <strong>air</strong>, which gener<strong>at</strong>e costs of very<br />

significant rough-casting and restaur<strong>at</strong>ion. The total annual loss from these and rel<strong>at</strong>ed<br />

cleaning and protective activities in the United St<strong>at</strong>es have been estim<strong>at</strong>ed <strong>at</strong> several<br />

billion dollars (Arya 1999). The m<strong>at</strong>erial damage is mainly <strong>at</strong>tributed to acid mist,<br />

oxidants of various kind, hydrogen sulfide and particul<strong>at</strong>e m<strong>at</strong>ter. M<strong>at</strong>erial can be<br />

affected by both physical and chemical processes. Physical damage may result from<br />

soiling due to dust deposition and also from the abrasive effect of wind-blow particul<strong>at</strong>e<br />

m<strong>at</strong>ter. Chemical damage to m<strong>at</strong>erials is a more serious and pervasive problem, because<br />

certain pollutants readily react with m<strong>at</strong>erials after coming in direct contact with them.<br />

Effects on <strong>at</strong>mosphere, we<strong>at</strong>her and clim<strong>at</strong>e<br />

The <strong>air</strong> <strong>pollution</strong> acts directly on the composition of the <strong>at</strong>mosphere, locally or overall.<br />

Ai r <strong>pollution</strong> frequently cause widespread haze and fog, reducing visibility and solar<br />

radi<strong>at</strong>ion near the ground; alter near surface energy balance; and possibly change local<br />

we<strong>at</strong>her and clim<strong>at</strong>e. In addition, the important problems of str<strong>at</strong>ospheric ozone<br />

depletion, acid deposition and clim<strong>at</strong>e change are <strong>at</strong>tributed to <strong>air</strong> <strong>pollution</strong>. As m<strong>at</strong>ter<br />

of facts, weak vari<strong>at</strong>ions of the <strong>at</strong>mospheric composition involve an unbalance of the<br />

clim<strong>at</strong>ic system, whose most known examples are the greenhouse effect or the<br />

destruction of the ozone layer. It is however often difficult, on our scale of time, to<br />

distinguish the n<strong>at</strong>ural clim<strong>at</strong>ic fluctu<strong>at</strong>ions from those caused by the man.<br />

2.2.6 Solutions<br />

Too often the people tend to forget th<strong>at</strong> the only solution to decrease the <strong>air</strong> <strong>pollution</strong> is<br />

to reduce the pollutant emissions. Unfortun<strong>at</strong>ely, for socio-economic, cultural or<br />

political reasons, this reduction is difficult to implement and it requires time to find<br />

altern<strong>at</strong>ive solutions. This is why it is essential to determine the consequences of<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

<strong>pollution</strong> and to fight against these consequences by setting up efficient policies. In this<br />

paragraph these two aspects of the <strong>at</strong>mospheric <strong>pollution</strong> control (reduction of the<br />

emissions and <strong>pollution</strong> managment) are described.<br />

Reduction of the emissions<br />

The reduction of the pollutant emissions generally is realized by means of the<br />

implement<strong>at</strong>ion of altern<strong>at</strong>ive technological solutions. The improvements of a process<br />

can rel<strong>at</strong>e to:<br />

• Used products: replacement of a toxic m<strong>at</strong>erial with another less polluting. For<br />

example, CFC, used as propellant gases in the aerosols bombs, were replaced by<br />

products based on hydrocarbons. Lead present in the gasoline was replaced by<br />

compounds (MTBD) which has the same function.<br />

• Consumption of energy: the energy consumption and the <strong>pollution</strong> gener<strong>at</strong>ed by<br />

the energy production decrease, optimizing the processes.<br />

• Effluents processing: sometimes it is possible to reprocess the effluents and<br />

reduce the pollutant releases in the <strong>at</strong>mosphere using filtering techniques (i.e.<br />

fume de-dusting devices, c<strong>at</strong>alyst for the vehicles, etc.).<br />

The technological efforts must be accompanied by a limit<strong>at</strong>ion of the use of polluting<br />

technologies. Many inform<strong>at</strong>ion campaigns encourage the popul<strong>at</strong>ion to limit the<br />

consumption of energy. Referring to automobile traffic, the authorities try to better<br />

organize the <strong>urban</strong> traffic and to promote altern<strong>at</strong>ive means of transport (public<br />

transport, electric vehicles, etc.).<br />

In order to favor the reduction of the emissions, increasingly severe legisl<strong>at</strong>ive<br />

measurements were adopted; they define the thresholds th<strong>at</strong> have not to be exceeded,<br />

impose a control of the polluting systems and limit or prohibit the use of certain toxic<br />

substances. The effectiveness of legisl<strong>at</strong>ive measurements necessarily needs a uniform<br />

world politics; unfortun<strong>at</strong>ely, it is not already true, because the laws applied in the<br />

developed countries are not a priority for the countries in development.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

From an economical point of view, the reduction of the emissions is difficult to<br />

implement. Existing technologies are generally the result of an evolution aiming <strong>at</strong><br />

obtaining <strong>at</strong> lower cost an optimal output in a short period. The altern<strong>at</strong>ive solutions are<br />

more expensive and not easily feasible; the organiz<strong>at</strong>ion of our society developed too<br />

often without taking into account the environmental aspects. It is possible to see, for<br />

example, th<strong>at</strong> whole sides of our economy is based on the car and oil industries. The<br />

duty on the petroleum products constitutes for the st<strong>at</strong>e a financial gain which is<br />

difficult to replace. In certain cases, the overcost gener<strong>at</strong>ed by environmental action can<br />

be reflected on the price paid by the consumers, but when it is about prohibition to use a<br />

specific product, the loss for the productive activities is inescapable (e.g. of asbestos or<br />

CFC). In this case, the economic interests enter directly in competition with the<br />

environmental interests. This dilemma constitutes a true problem for society, whose<br />

solution largely exceeds the technological or legisl<strong>at</strong>ive framework. For all these<br />

reasons, it is not realistic to imagine a disappearance of the <strong>air</strong> <strong>pollution</strong> of anthropic<br />

origin before many years. This is why it is necessary, parallel to the reduction of the<br />

pollutant releases, “to manage” the emissions and their consequences on the <strong>air</strong><br />

<strong>pollution</strong>.<br />

Pollution management<br />

Trying to limit the effects of the <strong>air</strong> <strong>pollution</strong>, practices of <strong>pollution</strong> management were<br />

adopted. They are usually based on the prevention of the risks for the popul<strong>at</strong>ions and<br />

include the monitoring, the public inform<strong>at</strong>ion and the emergency rules:<br />

• Monitoring: The monitoring of <strong>air</strong> quality is a fundamental element of the <strong>air</strong><br />

<strong>pollution</strong> management. Measurement networks have been developed in all the<br />

gre<strong>at</strong> agglomer<strong>at</strong>ions for more than twenty years and the laws provide for their<br />

extension to obtain a n<strong>at</strong>ional cover.<br />

• Inform<strong>at</strong>ion: As recognized by the European legisl<strong>at</strong>ion (Council Directive<br />

96/92/EC on Air Quality Assessment and Management) the <strong>air</strong> quality d<strong>at</strong>a<br />

collected in the inspection networks has to be propag<strong>at</strong>ed by the medias in order<br />

to inform the people about the situ<strong>at</strong>ion of <strong>air</strong> <strong>pollution</strong> and to allow them to<br />

adapt their activity to the level of <strong>pollution</strong>.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

• Emergency rules: In case of strong <strong>pollution</strong> episodes, thresholds of alarm<br />

suggest to intervene using emergency actions. These actions can be rel<strong>at</strong>ed to the<br />

reduction of the emissions (i.e. suspension of industrial activities, traffic block)<br />

and to the protection of the popul<strong>at</strong>ion (i.e. evacu<strong>at</strong>ion of the popul<strong>at</strong>ion).<br />

The management of <strong>pollution</strong> aims to prevent th<strong>at</strong> the episodes of strong <strong>pollution</strong> do<br />

not have consequences on the human health. The purpose is to identify the most<br />

polluted areas, where an effort in terms of emission reduction must be done. To s<strong>at</strong>isfy<br />

these objectives, <strong>dispersion</strong> modeling tools can be used to complement <strong>air</strong> quality<br />

measurements.<br />

2.2.7 The role of modeling<br />

Although its role seems often secondary compared to reduction of the emissions,<br />

modeling is a significant component of the <strong>air</strong> <strong>pollution</strong> management. It allows to better<br />

understand the physical phenomena th<strong>at</strong> are responsible of the problem and constitutes<br />

an essential auxiliary tool. Modeling is a tool useful to several levels in the management<br />

of the <strong>air</strong> <strong>pollution</strong>.<br />

• Analysis and exploit<strong>at</strong>ion of monitoring measurements<br />

• Decision-making aid – study of scenarios<br />

• Forecast<br />

Modeling is useful first of all in the verific<strong>at</strong>ion and realiz<strong>at</strong>ion of the monitoring<br />

networks. Taking into account the sp<strong>at</strong>ial variability of <strong>pollution</strong>, it is necessary to<br />

evalu<strong>at</strong>e the represent<strong>at</strong>iveness of the concentr<strong>at</strong>ion d<strong>at</strong>a measured by the existing fixed<br />

sensors and to choose the optimal loc<strong>at</strong>ion of the future monitoring site. In the event of<br />

exceeding of a threshold, it is interesting to be able to provide the percentage of the<br />

popul<strong>at</strong>ion actually affected by the measured level of <strong>pollution</strong>. Consequently the<br />

modeling tools have an essential role in the exploit<strong>at</strong>ion of the d<strong>at</strong>a. They permit in<br />

particular to study episodes of strong <strong>pollution</strong>, to interpol<strong>at</strong>e and extrapol<strong>at</strong>e the<br />

measured concentr<strong>at</strong>ions, to provide cartography of the polluted areas, to evalu<strong>at</strong>e the<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

exposure of the popul<strong>at</strong>ion (Ryan et al., 1986), to constitute d<strong>at</strong>a bases for the<br />

epidemiologic investig<strong>at</strong>ions.<br />

One of the main interests of modeling, especially for deterministic modeling, is to be<br />

able to study the modific<strong>at</strong>ions gener<strong>at</strong>ed by a change of the conditions of a problem. It<br />

is possible to simul<strong>at</strong>e various scenarios and to determine the consequences of longterm<br />

policies like regional, town and transport planning. In particular case<br />

(establishment of a factory, reorganiz<strong>at</strong>ion of the traffic in a quartier), environmental<br />

impact assessment are frequently carried out through modeling approach in order to<br />

evalu<strong>at</strong>e the future consequences on the environment and <strong>air</strong> quality. Modeling also<br />

constitutes a tool of diagnosis of current <strong>pollution</strong>. It allows the evalu<strong>at</strong>ion of the<br />

contribution of <strong>different</strong> sources of pollutants (traffic, domestic he<strong>at</strong>ing, industry), of the<br />

use of various fuels and the effectiveness of the policies implemented.<br />

The forecast of the <strong>air</strong> <strong>pollution</strong> is a long-term aim. Some forecasting models are<br />

gradually set up <strong>at</strong> the level of the agglomer<strong>at</strong>ions. They provide primarily qualit<strong>at</strong>ive<br />

inform<strong>at</strong>ion on the presence or not of a peak of <strong>pollution</strong> in the hours which follow. The<br />

generalized development of the forecast of <strong>pollution</strong> is unfortun<strong>at</strong>ely limited by the<br />

capacities of the we<strong>at</strong>her forecasting, of which the oper<strong>at</strong>ional resolution is still too<br />

coarse to be able to simul<strong>at</strong>e <strong>urban</strong> <strong>pollution</strong> correctly (Soulhac 2000).<br />

2.3 Scales of pollutant transport in the <strong>at</strong>mosphere<br />

Pollution present <strong>at</strong> a given place comes from the sources loc<strong>at</strong>ed in the vicinity but also<br />

from those loc<strong>at</strong>ed <strong>at</strong> distances much more significant, being able to reach several<br />

thousands of kilometers (i.e. Chernobyl accident). It is possible to break up the<br />

concentr<strong>at</strong>ion measured in a street into a sum of contributions of the sources<br />

corresponding to various <strong>scales</strong>:<br />

C = Cmacro + Cmeso + Clocal + Cmicro<br />

The main difficulty of modeling the <strong>air</strong> <strong>pollution</strong> is th<strong>at</strong> none of the terms of the<br />

previous equ<strong>at</strong>ion is really domin<strong>at</strong>ing in comparison with the others. The rel<strong>at</strong>ive<br />

contribution of these terms depends on the site considered (loc<strong>at</strong>ed in the vicinity or not<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

of the gre<strong>at</strong> sources of emissions), on the type of pollutant (i.e. ozone can be transferred<br />

<strong>at</strong> very long distances and tends to disappear in the core of the agglomer<strong>at</strong>ions) and on<br />

the we<strong>at</strong>her conditions. No scale can be neglected and it is necessary to model the entire<br />

<strong>at</strong>mospheric spectrum. Unfortun<strong>at</strong>ely, it is not possible to simul<strong>at</strong>e all these <strong>scales</strong> with<br />

only one model; the limit<strong>at</strong>ion of the computer power does not enable us to tre<strong>at</strong> the<br />

<strong>at</strong>mosphere with such a variety of <strong>scales</strong>.<br />

These difficulties led to the development of c<strong>at</strong>egories of models th<strong>at</strong> work <strong>at</strong> <strong>different</strong><br />

<strong>scales</strong> and exchange inform<strong>at</strong>ion rel<strong>at</strong>ing to their boundary conditions. For each model,<br />

the dimension of the study field and its resolution respectively constitute the upper limit<br />

and the lower limit of the range of solved <strong>scales</strong>.<br />

Traditionally, the scale of <strong>at</strong>mospheric motions and rel<strong>at</strong>ed phenomena have been<br />

classified according to their horizontal dimensions into three (or four) broad c<strong>at</strong>egories:<br />

macroscale, mesoscale, (local scale), and microscale. There are differences in the<br />

liter<strong>at</strong>ure on the definition of these <strong>at</strong>mospheric flow <strong>scales</strong>. Table 2-1 summarizes the<br />

definition by Oke (1987). Atmospheric phenomena as associ<strong>at</strong>ed with each scale are<br />

illustr<strong>at</strong>ed in Figure 2-5.<br />

Micro-scale 10 -2 to 10 3 m<br />

Local scale 10 2 to 5x10 4 m<br />

Meso-scale 10 4 to 2 x 10 5 m<br />

Macro-scale 10 5 to 10 8 m<br />

Table 2-1 Atmospheric <strong>dispersion</strong> <strong>scales</strong> based on horizontal distance from the<br />

source, according to Oke (1987)<br />

Pollutants in the <strong>at</strong>mosphere are advected and diffused over the entire range of<br />

<strong>at</strong>mospheric <strong>scales</strong> defined above. The length <strong>scales</strong> of horizontal and vertical transport<br />

of any pollutant range from a scale of a few meters near the source, up to a global scale.<br />

The time <strong>scales</strong> involved for pollutants to spread and mix over these length <strong>scales</strong>, range<br />

from minutes to years (Table 2-2).<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Horizontal distance Dispersion scale Time scale<br />

1 to 1000 m Microscale Seconds to minutes<br />

3 to 30 km Local scale Hours<br />

100 to 1000 km Mesoscale Days<br />

Hemisphere Macroscale Months<br />

Globe Global scale Years<br />

Vertical distance Atmospheric layer involved Time scale<br />

Ground to 100m-3km Surface layer Minutes to hours<br />

100m –3km to 10km-15km Mixing layer to Troposphere Days to weeks<br />

10km-15km to 50km Troposphere to Str<strong>at</strong>osphere Years<br />

Table 2-2 Horizontal and vertical transport <strong>scales</strong> in the <strong>at</strong>mosphere (adapted<br />

from Boeker et al., 1995)<br />

Pollutants released into the <strong>at</strong>mosphere <strong>at</strong> ground level are initially advected by<br />

localized flow and turbulent mixing in the PBL near the ground. Pollutant transport is<br />

then taken over by local scale winds and mesoscale circul<strong>at</strong>ions (e.g. <strong>urban</strong> he<strong>at</strong> islands,<br />

land and sea breezes, mountain and valley winds, thunderstorms). Up to several hours<br />

and a distance of tens of kilometers l<strong>at</strong>er, pollutants are advected along two or three<br />

dimensional mean flow p<strong>at</strong>terns (limited in the vertical by the depth of the PBL),<br />

turbulent diffusion varying according to the conditions in the PBL. Within a travel time<br />

of about a day to a few days, synoptic scale systems (such as cyclones and anticyclones)<br />

transport pollutants along generally complex horizontal p<strong>at</strong>hways (‘trajectories’).<br />

Horizontal and vertical spread about the mean trajectories is determined by the<br />

embedded mesoscale and microscale motions, and pollutant exchange between the PBL<br />

and the rest of the troposphere occurs as a result of synoptic scale vertical motions (e.g.<br />

<strong>at</strong> fronts, hydraulic jumps over mountains and large scale convective motions in the<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

PBL). Over a time scale of weeks, pollutants have become mixed vertically throughout<br />

the depth of the troposphere and horizontally over synoptic scale systems. During this<br />

time, pollutants are not only transported but also transformed chemically and removed<br />

due to gravit<strong>at</strong>ional settling and wet deposition. Only rel<strong>at</strong>ively inert gases remain in the<br />

<strong>at</strong>mosphere by the time macroscale systems take over. These are global circul<strong>at</strong>ion<br />

p<strong>at</strong>terns (such as the trade winds and jet streams) which cause pollutants to disperse<br />

over the entire hemisphere (northern or southern), and eventually over the entire globe,<br />

with some vertical mixing into the str<strong>at</strong>osphere.<br />

Figure 2-5 Sp<strong>at</strong>ial and temporal <strong>scales</strong> of <strong>at</strong>mospheric phenomena (Oke, 1987)<br />

As a result, appropri<strong>at</strong>e assumptions and simplific<strong>at</strong>ions for <strong>modelling</strong> the physics of<br />

<strong>dispersion</strong> differ markedly according to the scale of meteorological phenomena<br />

involved. The scope of <strong>dispersion</strong> studies is therefore usually defined in terms of the<br />

<strong>at</strong>mospheric <strong>scales</strong> defined above. Based on the distance from the source, <strong>dispersion</strong><br />

studies are thus classified into micro-, local-, meso- and macro- <strong>scales</strong>.<br />

However, <strong>dispersion</strong> <strong>at</strong> any given scale cannot be studied in isol<strong>at</strong>ion, since phenomena<br />

<strong>at</strong> each scale influence and co-exist with each other. Coupling models of <strong>different</strong> <strong>scales</strong><br />

is thus a desirable goal, though in practice usually it is very difficult to achieve.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Linkages between <strong>dispersion</strong> <strong>at</strong> <strong>different</strong> <strong>scales</strong> are often implicit and complex,<br />

especially since flow p<strong>at</strong>terns interact non-linearly over a vast range of <strong>scales</strong>.<br />

2.3.1 Space and time <strong>scales</strong> in the <strong>urban</strong> context<br />

Urban <strong>air</strong> <strong>pollution</strong> involves physical and chemical processes over a wide range of<br />

space and time <strong>scales</strong>. Cities have typical <strong>scales</strong> up to 10-20 km, or possibly even larger<br />

when several adjacent <strong>urban</strong> areas coalesce to form a conurb<strong>at</strong>ion. Pollutant <strong>dispersion</strong><br />

from near-ground level sources would be present through much of the <strong>at</strong>mospheric<br />

boundary layer over these distances. Processes <strong>at</strong> the city scale influence the larger<br />

regional scale up to 100 or 200 km by providing a momentum sink and a thermal and<br />

pollutant source. At the same time the regional, or larger, scale physical processes<br />

provide the background st<strong>at</strong>e for the city scale processes.<br />

The city contains its own inhomogeneities, frequently with a city centre having larger<br />

buildings and an outlying area of lower industrial or residential areas. Some researchers<br />

find it useful to consider the city as consisting of many semi-homogeneous<br />

neighbourhoods of typical scale 1 to 2 km. Over these distances the <strong>dispersion</strong> processes<br />

may be influenced by the buildings themselves and the roughness sublayer th<strong>at</strong> extends<br />

up to 2 or 3 times the average building height.<br />

Peak pollutant concentr<strong>at</strong>ions will obviously occur when the pollutant source and<br />

receptor are nearby, for example when the receptor (an individual or a pollutant<br />

monitoring st<strong>at</strong>ion) is <strong>at</strong> roadside and the pollutant source (vehicles, <strong>at</strong> high traffic<br />

density) is also within the street. Consequently processes <strong>at</strong> the street (or street canyon)<br />

scale, th<strong>at</strong> may be up to 100 or 200m, are of particular interest. At this scale the<br />

geometric arrangement of the buildings, street canyons and intersections directly affect<br />

the <strong>dispersion</strong> processes (Britter and Hanna 2003).<br />

All <strong>dispersion</strong> <strong>modelling</strong> <strong>scales</strong> are involved in determining concentr<strong>at</strong>ions <strong>at</strong> any<br />

particular point in the <strong>urban</strong> environment, especially since vehicle traffic is spread over<br />

a dense and extensive road network, throughout the city. The concentr<strong>at</strong>ion <strong>at</strong> any given<br />

loc<strong>at</strong>ion within a city is the added effect of <strong>dispersion</strong> from all surrounding sources,<br />

some nearby and more further away.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

In Italy, a distinction is drawn between two types of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> monitoring<br />

loc<strong>at</strong>ions, in an <strong>at</strong>tempt to quantify the rel<strong>at</strong>ive contributions of near- and far-field<br />

sources. ‘Roadside’ monitors are loc<strong>at</strong>ed near busy roads, and ‘background’ loc<strong>at</strong>ions<br />

are situ<strong>at</strong>ed in open spaces to measure concentr<strong>at</strong>ions due to contributions from sources<br />

further away.<br />

On the base of the preceding consider<strong>at</strong>ion Britter and Hanna (2003), with some<br />

modific<strong>at</strong>ions with respect to the original work (Munn 1981), proposed a broad<br />

classific<strong>at</strong>ion of <strong>urban</strong> <strong>dispersion</strong> <strong>scales</strong> (Table 2-3). For each sp<strong>at</strong>ial scale there is a<br />

corresponding time scale th<strong>at</strong> is the sp<strong>at</strong>ial scale divided by a represent<strong>at</strong>ive advective<br />

velocity, typically the wind speed.<br />

Urban scale definitions Horizontal length scale Time scale<br />

Microscale Less than100-200 m Seconds<br />

Neighbourhood scale Up to 1-2 km Minutes<br />

Urban scale Up to 10-20 km Hours<br />

Regional scale Up to 100-200 km Days<br />

Table 2-3 Urban <strong>dispersion</strong> <strong>scales</strong> (as defined by Britter and Hanna, 2003)<br />

The regional scale is affected by the <strong>urban</strong> area. For example, the <strong>urban</strong> he<strong>at</strong> island<br />

circul<strong>at</strong>ions, any enhanced precipit<strong>at</strong>ion, and the <strong>urban</strong> pollutant plume can extend to<br />

these distances. At this scale the mean synoptic meteorological p<strong>at</strong>terns are given and<br />

<strong>urban</strong> area represents a perturb<strong>at</strong>ion, causing deceler<strong>at</strong>ion and deflection of the flow, as<br />

well as changes to the surface-energy budget and the thermal structure.<br />

The city scale, or <strong>urban</strong> scale, represents the diameter of the average <strong>urban</strong> area. At<br />

these <strong>scales</strong> the vari<strong>at</strong>ions in flow and <strong>dispersion</strong> around individual buildings or groups<br />

of similar buildings have been mostly averaged out. Wind flow models developed for<br />

this range pay little <strong>at</strong>tention to the details of the flow within the <strong>urban</strong> canopy layer.<br />

Most of the mass of any pollutant cloud travelling over this distance will be above the<br />

height of the buildings.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

On the neighbourhood scale buildings may still be tre<strong>at</strong>ed in a st<strong>at</strong>istical way; however,<br />

the approach may be <strong>different</strong> to th<strong>at</strong> on the city scale. At the neighbourhood scale we<br />

want to know more about the flow within the <strong>urban</strong> canopy. The wind flow, particularly<br />

within the canopy, may also be changing as it moves from one neighbourhood to the<br />

next. Much of the mass of a pollutant cloud travelling over this distance may remain<br />

within the <strong>urban</strong> canopy.<br />

The street (canyon) scale addresses the flow and <strong>dispersion</strong> within and near one or two<br />

individual streets, buildings or intersections. This would be of interest when considering<br />

turbulence affecting pedestrian comfort and the direct exposure of pedestrian and nearroad<br />

residences to vehicular emissions. It can be of particular interest when regul<strong>at</strong>ory<br />

pollutant st<strong>at</strong>ions are placed within street canyons.<br />

Hall et al. (1996) proposed another way of defining <strong>dispersion</strong> <strong>scales</strong> applicable to the<br />

<strong>urban</strong> environment, by considering the evolution of a plume within the <strong>urban</strong> canopy,<br />

and comparing the width of the plume to the dominant length scale of the turbulence<br />

around the buildings. Turbulence within the canopy is predominantly gener<strong>at</strong>ed due to<br />

velocity shear around the surface of the buildings and flow separ<strong>at</strong>ion, and its largest<br />

scale L, is of the order of the building dimensions. Three <strong>dispersion</strong> <strong>scales</strong> were defined<br />

as follows (illustr<strong>at</strong>ed in Figure 2-6):<br />

1) Plume width


Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

the growing plume and contributes to plume meandering. However the <strong>dispersion</strong><br />

p<strong>at</strong>terns are less variable than those in the first case, and only the overall shape of the<br />

buildings affects the r<strong>at</strong>e of <strong>dispersion</strong>.<br />

3) Plume width >> L : Far-field <strong>dispersion</strong><br />

A longer distance away from the source the plume is very broad, and concentr<strong>at</strong>ions<br />

follow a near-Gaussian distribution. The turbulence <strong>scales</strong> of the PBL and surface<br />

roughness, r<strong>at</strong>her than turbulence gener<strong>at</strong>ed by individual buildings, now domin<strong>at</strong>e<br />

plume growth.<br />

Figure 2-6 Urban <strong>dispersion</strong> <strong>scales</strong> defined according to Hall et al. (1996)<br />

These <strong>dispersion</strong> <strong>scales</strong> span the microscale and neighbourhood <strong>scales</strong> defined by Munn<br />

(1981) and slightly modified by Britter and Hanna (2003). The ‘far-field’ <strong>dispersion</strong><br />

scale corresponds to the upper limit of Munn’s ‘neighbourhood’ scale. In this thesis<br />

both the above described classific<strong>at</strong>ion schemes will be used.<br />

The <strong>different</strong> sp<strong>at</strong>ial <strong>scales</strong> show themselves more clearly when one considers how to<br />

develop models for flow and <strong>dispersion</strong>. It is n<strong>at</strong>ural th<strong>at</strong> the larger the sp<strong>at</strong>ial scale<br />

under study the less the importance and hence necessity for any detailed inform<strong>at</strong>ion.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Altern<strong>at</strong>ively the limit<strong>at</strong>ions on analytical or comput<strong>at</strong>ional resources will not allow the<br />

detail to be studied over a large sp<strong>at</strong>ial scale. A further way of addressing this issue is to<br />

consider the concentr<strong>at</strong>ion <strong>at</strong> a point receptor within a city. The concentr<strong>at</strong>ion or<br />

concentr<strong>at</strong>ion-time history will have a contribution from the background concentr<strong>at</strong>ion<br />

arising on a regional scale and this will vary slowly and rel<strong>at</strong>ively smoothly with time.<br />

There will also be a contribution from the pollutant sources upwind of the receptor. The<br />

vari<strong>at</strong>ions of the source positions and strengths will be smoothed out to a gre<strong>at</strong>er extent<br />

when well upwind and to a lesser extent for closer sources. (Moving) sources within the<br />

same street and near the receptor will produce rapidly varying and high magnitude<br />

concentr<strong>at</strong>ions. Thus the degree of detail required to address each scale reduces as the<br />

scale itself increases.<br />

Dispersion models are usually applicable over only one, or a limited range of <strong>dispersion</strong><br />

<strong>scales</strong>, since the dominant physical mechanisms and assumptions <strong>at</strong> each scale are<br />

<strong>different</strong>. However, <strong>dispersion</strong> <strong>at</strong> any one scale is closely linked with all others as part<br />

of a continuum, since phenomena <strong>at</strong> each scale co-exist with, and influence, each other.<br />

Modelling <strong>dispersion</strong> <strong>at</strong> any given scale in isol<strong>at</strong>ion is a significant approxim<strong>at</strong>ion, and<br />

therefore, coupling models of <strong>different</strong> <strong>scales</strong> is a desirable goal, though in practice it is<br />

usually very difficult to achieve. For example, microscale models require the<br />

‘background’ concentr<strong>at</strong>ion calcul<strong>at</strong>ed by <strong>urban</strong> and regional scale models. Urban and<br />

regional scale models also depend on an accur<strong>at</strong>e characteriz<strong>at</strong>ion of the macroscopic<br />

flow and <strong>dispersion</strong> fe<strong>at</strong>ures of a city th<strong>at</strong> are influenced by microscale effects (e.g. the<br />

aerodynamic roughness of the <strong>urban</strong> surface). As discussed in Moussiopoulos (1999), in<br />

order to be able to ‘nest’ <strong>urban</strong> models <strong>at</strong> <strong>different</strong> <strong>scales</strong> effectively, the understanding<br />

of the linkages between <strong>scales</strong> needs to be improved.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

2.4 Modelling methods applied to <strong>urban</strong> <strong>dispersion</strong><br />

2.4.1 The range and types of <strong>urban</strong> <strong>dispersion</strong> models<br />

Following the classific<strong>at</strong>ion used by Zannetti (1990), <strong>dispersion</strong> models can be divided<br />

in two main c<strong>at</strong>egories:<br />

a) experimental models: field experiments (around full-scale or scaled buildings), or<br />

scaled simul<strong>at</strong>ions in the labor<strong>at</strong>ory (using a wind tunnel or w<strong>at</strong>er tank).<br />

b) m<strong>at</strong>hem<strong>at</strong>ical models: a set of analytical/numerical algorithms th<strong>at</strong> describe the<br />

physical and chemical aspects of the problem. M<strong>at</strong>hem<strong>at</strong>ical models are usually<br />

divided in two sub-c<strong>at</strong>egories<br />

• st<strong>at</strong>istical models: models based upon semiempirical st<strong>at</strong>istical rel<strong>at</strong>ions among<br />

available d<strong>at</strong>a and measurements<br />

• deterministic models: models based on fundamental m<strong>at</strong>hem<strong>at</strong>ical description of<br />

<strong>at</strong>mospheric processes, in which effects (<strong>air</strong> <strong>pollution</strong>) are gener<strong>at</strong>ed by causes<br />

(emissions). This models are the most important m<strong>at</strong>hem<strong>at</strong>ical ones for practical<br />

applic<strong>at</strong>ion, since, if properly valid<strong>at</strong>ed, they provide an unambiguous sourcereceptor<br />

rel<strong>at</strong>ionship, thus allowing the definition of appropri<strong>at</strong>e emission control<br />

str<strong>at</strong>egies. This sub-c<strong>at</strong>egory can be further divided in two:<br />

o parametric models: deterministic models th<strong>at</strong> express concentr<strong>at</strong>ion<br />

values as a function of a set of variables (parameters) and conditions.<br />

o comput<strong>at</strong>ional models: models th<strong>at</strong> solve the flow and <strong>dispersion</strong><br />

conserv<strong>at</strong>ion (or transport) equ<strong>at</strong>ions numerically for any given boundary<br />

conditions, using either Eulerian or Lagrangian approaches.<br />

Table 2-4 summarizes the main <strong>urban</strong> <strong>modelling</strong> approaches divided according to the<br />

c<strong>at</strong>egories defined above.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Different <strong>modelling</strong> approaches are applicable to each of the <strong>urban</strong> <strong>dispersion</strong> <strong>scales</strong>.<br />

Models can therefore be usefully c<strong>at</strong>egorized according to the scale of their applicability<br />

(Table 2-5, Scaperdas 2000).<br />

By definition, any <strong>modelling</strong> method is a simul<strong>at</strong>ion of reality based on particular<br />

assumptions, simplific<strong>at</strong>ions and approxim<strong>at</strong>ions, and these determine the degree of<br />

accuracy and uncertainty inherent in any type of <strong>modelling</strong>. This is a fundamental<br />

consider<strong>at</strong>ion in deciding whether a particular method is appropri<strong>at</strong>e for a given<br />

problem and therefore, whether a particular model is ‘fit-for-purpose’, i.e. likely to<br />

predict concentr<strong>at</strong>ions reliably over a required confidence level and under given<br />

conditions. The choice of an appropri<strong>at</strong>e methodology for <strong>urban</strong> environments is a<br />

difficult task. For example the U.S.EPA (USEPA, 2005a) has design<strong>at</strong>ed certain<br />

‘preferred’ models to be used for regul<strong>at</strong>ory <strong>air</strong> quality assessment from st<strong>at</strong>ionary<br />

source emissions, but there is not a similar approach for <strong>urban</strong> <strong>dispersion</strong> models. The<br />

situ<strong>at</strong>ion is even more uncertain in Europe, where only general guidelines are given<br />

(Van Aalst et al., 1998) and a number of <strong>different</strong> models are used in the European<br />

countries (see e.g. EEA, 2005).<br />

Field experiments<br />

Physical models<br />

Experimental models<br />

Measurements in the field under selected<br />

conditions:<br />

<strong>at</strong> real <strong>urban</strong> sites<br />

around full-scale or scaled obstacles of idealized<br />

shape or arrangement<br />

Wind tunnel experiments<br />

W<strong>at</strong>er tank experiments<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong><br />

St<strong>at</strong>istical models Derived from st<strong>at</strong>istical analyses of <strong>air</strong> quality<br />

monitoring d<strong>at</strong>a:<br />

Deterministic models<br />

Parametric<br />

Comput<strong>at</strong>ional<br />

Empirical<br />

Semi –<br />

Empirical<br />

Lagrangian<br />

Eulerian<br />

Regression st<strong>at</strong>istical analysis<br />

Neural networks analysis<br />

Based on the analysis of field or labor<strong>at</strong>ory based<br />

controlled experiments<br />

Based on a combin<strong>at</strong>ion of theoretical analysis<br />

and empirical d<strong>at</strong>a:<br />

Simple ‘box’ models<br />

Urban canyon models<br />

Urban array models<br />

Gaussian ‘plume’ models<br />

Mesoscale trajectory models<br />

Stochastic Lagrangian <strong>dispersion</strong> models<br />

Large scale grid models<br />

RANS and LES Comput<strong>at</strong>ional Fluid Dynamics<br />

Table 2-4 Urban <strong>dispersion</strong> <strong>modelling</strong> methods: experimental, parametric and<br />

comput<strong>at</strong>ional<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Meso-scale<br />

Urban and local<br />

scale<br />

Micro-scale<br />

Lagrangian trajectory models<br />

Eulerian (meteorological and <strong>dispersion</strong>) models<br />

Physical <strong>modelling</strong> (e.g. <strong>urban</strong> roughness, <strong>urban</strong> topography)<br />

St<strong>at</strong>istical <strong>modelling</strong> (e.g. correl<strong>at</strong>ion models, neural networks)<br />

City-wide box models<br />

Gaussian plume models<br />

Full-scale <strong>modelling</strong> (e.g. within <strong>urban</strong> canyons)<br />

Physical <strong>modelling</strong> (e.g. array and canyon studies)<br />

Canyon models<br />

Array models (e.g. modified Gaussian plume models)<br />

Comput<strong>at</strong>ional Fluid Dynamics (CFD) <strong>modelling</strong><br />

Table 2-5 Urban <strong>dispersion</strong> <strong>modelling</strong> approaches, meso- to micro-scale<br />

(Scaperdas, 2000)<br />

2.4.2 Field experiments<br />

Field experiments involve measuring the flow and concentr<strong>at</strong>ion either directly in the<br />

<strong>urban</strong> environment, or around idealized (and often scaled) obstacle shapes and<br />

arrangements in the open country. The difference between full-scale <strong>urban</strong> <strong>dispersion</strong><br />

experiments and <strong>urban</strong> <strong>air</strong> quality monitoring is th<strong>at</strong> the former are conducted under<br />

selected or controlled conditions in order to isol<strong>at</strong>e particular aspects of <strong>dispersion</strong><br />

behaviour amidst the complex effects of many interrel<strong>at</strong>ed factors. For example,<br />

measurements may be taken only for selected wind directions and <strong>at</strong>mospheric<br />

conditions, during periods when traffic counts (and thus emissions) are nearly uniform,<br />

or by releasing a tracer <strong>at</strong> a controlled emission r<strong>at</strong>e for quantit<strong>at</strong>ive measurements or<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

visualiz<strong>at</strong>ion purposes. Such carefully controlled field measurements can then form<br />

suitable d<strong>at</strong>asets for parametric and comput<strong>at</strong>ional model development and evalu<strong>at</strong>ion.<br />

Field measurements provide the most direct and realistic way of simul<strong>at</strong>ing <strong>dispersion</strong><br />

in actual <strong>urban</strong> environment and <strong>at</strong>mospheric conditions. However, the n<strong>at</strong>ural<br />

variability found in the field also significantly complic<strong>at</strong>es the process of understanding<br />

and isol<strong>at</strong>ing particular effects of interest. In the field there is no control over the wind<br />

direction and speed <strong>at</strong> any given time, so it is usually necessary to wait for the<br />

appropri<strong>at</strong>e winds. Quality field experiments are typically the most time-consuming and<br />

expensive of available <strong>modelling</strong> methods. Long measurement periods are required,<br />

including waiting for suitable meteorological and other conditions. There are also<br />

considerable practical problems associ<strong>at</strong>ed with the organiz<strong>at</strong>ion and setting up of the<br />

experiments, such as instrument<strong>at</strong>ion siting and calibr<strong>at</strong>ion, measurement capture and<br />

autom<strong>at</strong>ion, and risk of damage to instrument<strong>at</strong>ion due to vandalism or environmental<br />

hazards. In addition, experimental conditions can never be exactly replic<strong>at</strong>ed and<br />

ensembles of experiments in nominally similar condition have to be analyzed to derive<br />

s<strong>at</strong>isfactory st<strong>at</strong>istical properties of the <strong>dispersion</strong> process. Without such ensemble<br />

averaging, field experiments effectively become a collection of individual realiz<strong>at</strong>ions<br />

and their use in model development or evalu<strong>at</strong>ion is gre<strong>at</strong>ly weakened by the inherent<br />

uncertainty <strong>at</strong>tached to each. These factors gre<strong>at</strong>ly reduce productivity rel<strong>at</strong>ive to wind<br />

tunnel work. Nevertheless, field d<strong>at</strong>a are an essential component of model testing and<br />

development because they encompass all the fe<strong>at</strong>ures of <strong>dispersion</strong> in the <strong>at</strong>mosphere.<br />

(Robins and Macdonald, 2001).<br />

2.4.3 Physical models<br />

Physical modeling constitutes an essential tool in many fields of the fluid mechanics. It<br />

allows to study the real physical phenomena on models with a <strong>different</strong> scale from the<br />

reality. The interesting aspect is the opportunity to reproduce a complex problem on the<br />

scale and under the conditions of a labor<strong>at</strong>ory, and consequently to be able to have<br />

powerful means of investig<strong>at</strong>ion and measurement. It also permits to take into account<br />

very detailed geometrical configur<strong>at</strong>ions, which it is still difficult to simul<strong>at</strong>e<br />

numerically.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Scaled <strong>modelling</strong> in the labor<strong>at</strong>ory is carried out either in a wind tunnel or w<strong>at</strong>er tank.<br />

Wind tunnels are and have been most commonly used for the physical <strong>modelling</strong><br />

<strong>dispersion</strong> in arrays of obstacles, although w<strong>at</strong>er channels were used by civil engineers<br />

in some earlier studies of flow and drag characteristics of arrays (see, for example,<br />

Morris 1955, Sayre and Albertson, 1963). W<strong>at</strong>er channels do offer some advantages for<br />

the visualiz<strong>at</strong>ion of <strong>dispersion</strong> since simple dyes can be used and the much lower flow<br />

speeds produce longer time <strong>scales</strong> which are more suitable for video recording;<br />

however, wind tunnel work predomin<strong>at</strong>es (Robins and Macdonald, 2001). The<br />

principles and consider<strong>at</strong>ions are generally equally valid for both types. Scale <strong>modelling</strong><br />

is based on theoretical assumption th<strong>at</strong> flow and <strong>dispersion</strong> around scaled obstacles is<br />

dynamically similar to th<strong>at</strong> <strong>at</strong> full scale (as discussed in more detail in Chapter 3). The<br />

more the mean incident wind velocity and turbulence conditions in the <strong>at</strong>mosphere can<br />

be faithfully reproduced in the labor<strong>at</strong>ory, the more the flow and <strong>dispersion</strong> behaviour<br />

measured around the scaled obstacles will be similar to those measured in the field.<br />

However, a faithful represent<strong>at</strong>ion of the turbulence variability in the <strong>at</strong>mosphere is<br />

difficult to achieve, and this is the main limit<strong>at</strong>ion of wind tunnel experiments.<br />

The compelling advantage of wind tunnel <strong>modelling</strong> is th<strong>at</strong> conditions can be controlled<br />

accur<strong>at</strong>ely and reproducibly. It is therefore much easier to control and assure the quality<br />

of wind tunnel experimental d<strong>at</strong>a, in contrast to field experiments. The time requirement<br />

for wind tunnel experiments is also significantly less than th<strong>at</strong> for field experiments.<br />

Furthermore, as highlighted by Sch<strong>at</strong>zmann et al. (1999), wind tunnel results are<br />

averaged over sufficiently long periods of time (to give ‘ensemble averages’) in marked<br />

contrast to typical field d<strong>at</strong>a, which are obtained during rel<strong>at</strong>ively limited sampling<br />

times due to the variability in wind direction and other meteorological conditions.<br />

Despite the considerable cost of oper<strong>at</strong>ing and maintaining a wind tunnel facility, the<br />

overall cost of wind tunnel experiments compares very favourably to th<strong>at</strong> of field<br />

experiments. For all these reason, despite the limit<strong>at</strong>ions in representing the full range of<br />

<strong>at</strong>mospheric phenomena in the wind tunnel, they are generally considered the most<br />

reliable of available <strong>modelling</strong> methods and they are a fundamental instrument in the<br />

development of the majority of parametric models, especially if combined with field<br />

experiments.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

2.4.4 St<strong>at</strong>istical models<br />

St<strong>at</strong>istical (also sometimes referred to as ‘stochastic’) models are based on a purely<br />

st<strong>at</strong>istical tre<strong>at</strong>ment of <strong>air</strong> quality monitoring d<strong>at</strong>a, alongside limited inform<strong>at</strong>ion on<br />

meteorological and traffic conditions, with virtually no theoretical input. There are<br />

many <strong>different</strong> st<strong>at</strong>istical tre<strong>at</strong>ments used, such as traditional regression st<strong>at</strong>istical<br />

methods (as described in Berlyand, 1991), or non-linear ‘neural network’ analyses<br />

which are now gaining popularity (e.g. Gardner et al., 1999). Correl<strong>at</strong>ions based on a<br />

selected set of variables can be ‘tuned’ to be very good, e.g. for predicting<br />

concentr<strong>at</strong>ions in an <strong>urban</strong> canyon <strong>at</strong> a particular site, based on traffic count and simple<br />

meteorological d<strong>at</strong>a.<br />

Although st<strong>at</strong>istical models can be useful and appropri<strong>at</strong>e for particular applic<strong>at</strong>ions,<br />

they are nevertheless extremely case-specific. Even if the st<strong>at</strong>istical analysis were to be<br />

perfect (of a high st<strong>at</strong>istical confidence level), there are far more variables involved in<br />

practice than are usually accounted for. Typical examples of neglected parameters<br />

include near-field effects due to details of the <strong>urban</strong> topography, and vari<strong>at</strong>ions in<br />

emission factors, e.g. due to introduction of a new clean technology, such as c<strong>at</strong>alytic<br />

converters. As a result st<strong>at</strong>istical models should be expected to break down when the<br />

conditions on which the model was based change, e.g. when applied to a <strong>different</strong> city<br />

or indeed in <strong>different</strong> loc<strong>at</strong>ions within the same city, or to predict future scenarios<br />

2.4.5 Parametric models<br />

Parametric models express concentr<strong>at</strong>ion as a m<strong>at</strong>hem<strong>at</strong>ical function of a set of<br />

governing, input variables. The functions defining a parametric model may be either<br />

based on experimental d<strong>at</strong>a (empirical), analytical solutions or a combin<strong>at</strong>ion of the two<br />

(semi-empirical). For example, Urban Gaussian plume models are semi-empirical<br />

parametric expressions. The mean concentr<strong>at</strong>ion downstream of a continuous passive<br />

source over a fl<strong>at</strong> rough surface (a city) is determined by functions of the form:<br />

C = f1 ( x, y, z, hs,σ y ,σ z ,Q,U )<br />

σ y = f2 ( x, zo , stability class)<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

σ z = f3 ( x, zo , stability class)<br />

where f1 is derived from an analytical solution of the advection-diffusion equ<strong>at</strong>ion (see<br />

section 4.2.1), f2 and f3 are functions derived from consider<strong>at</strong>ions on the physics of the<br />

problem (e.g. dimensional analysis) and empirical constants are derived based on field<br />

experimental d<strong>at</strong>a. There are many other parametric models used for <strong>urban</strong> near-field<br />

<strong>dispersion</strong>, mainly <strong>urban</strong> canyon models.<br />

Parametric models are the simplest and most straightforward method of all <strong>dispersion</strong><br />

<strong>modelling</strong> methods, even though they some involve a large number of input d<strong>at</strong>a (e.g.<br />

when calcul<strong>at</strong>ing time series from variable input d<strong>at</strong>a) and may require considerable<br />

comput<strong>at</strong>ional resources.<br />

The design and development of any parametric <strong>dispersion</strong> model is based on identifying<br />

the important parameters in a given <strong>dispersion</strong> problem, and deriving appropri<strong>at</strong>e<br />

m<strong>at</strong>hem<strong>at</strong>ical expressions for calcul<strong>at</strong>ing concentr<strong>at</strong>ions. Ideally, this is based on a<br />

fundamental theoretical understanding, but due to the complexity of flow and <strong>dispersion</strong><br />

in the <strong>urban</strong> environment, especially in the near-field, parametric models often have to<br />

be based on empirical correl<strong>at</strong>ions or case-specific simplifying assumptions th<strong>at</strong> limit<br />

the applicability and confidence range of the model.<br />

Gaussian models<br />

As described above, Gaussian plume models are a sub-set of parametrical models. They<br />

are discussed separ<strong>at</strong>ely because they are particularly popular and a ‘recommended’<br />

method by organiz<strong>at</strong>ions such as the USEPA. There are numerous Gaussian plume<br />

models available, e.g. ADMS (Carruthers et al., 1994), ISC3 (USEPA 1995), CALINE4<br />

(Benson, 1992) and AERMOD (Cimorelli et al.., 1998).<br />

Gaussian plume models are particularly popular and are used in a variety of <strong>urban</strong><br />

<strong>dispersion</strong> models because of the rel<strong>at</strong>ive simplicity and the easiness with which<br />

additional effects due to source buoyancy, <strong>at</strong>mospheric conditions, deposition, and<br />

surface roughness can be included by modifying expressions for pollutant spreads σy<br />

and σz. Also, although the basic Gaussian plume models calcul<strong>at</strong>e time-averaged<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

concentr<strong>at</strong>ions over time <strong>scales</strong> from about 10 min to an hour, time-averages for longer<br />

time-<strong>scales</strong> can be derived. For example, st<strong>at</strong>istical or meteorological time series d<strong>at</strong>a<br />

can be used, to predict annual mean concentr<strong>at</strong>ions and percentiles, or worst case<br />

scenario concentr<strong>at</strong>ions.<br />

Gaussian models are not applicable to near-field <strong>dispersion</strong> in the <strong>urban</strong> canopy, due to<br />

the complex boundary of the <strong>urban</strong> topography and the localized flow and turbulence,<br />

which invalid<strong>at</strong>e the fundamental theoretical assumptions on which Gaussian models<br />

are based (unbounded uniform flow field of velocity). Gaussian plume models should<br />

therefore only be used to calcul<strong>at</strong>e ‘background’ concentr<strong>at</strong>ions, above the <strong>urban</strong><br />

canyon and <strong>at</strong> <strong>scales</strong> larger than the neighbourhood scale. They are also not directly<br />

applicable to larger scale <strong>modelling</strong> (macroscale) due to the sp<strong>at</strong>ial non-uniformity of<br />

the velocity field over larger distances, and the <strong>different</strong> assumptions applicable to<br />

calcul<strong>at</strong>ing turbulent mixing and thus pollutant spread <strong>at</strong> th<strong>at</strong> scale.<br />

The performance of a Gaussian model depends on an appropri<strong>at</strong>e selection of plume<br />

spread functions σy and σz and the quality of the input emission and meteorological<br />

d<strong>at</strong>a. Expressions for σy and σz typically depend on meteorological conditions, the<br />

<strong>urban</strong> surface roughness and distance from each source.<br />

2.4.6 Comput<strong>at</strong>ional models<br />

Comput<strong>at</strong>ional models are based on the numerical solution of the conserv<strong>at</strong>ion/transport<br />

equ<strong>at</strong>ions of flow and <strong>dispersion</strong>, expressed either in Lagrangian or Eulerian form. The<br />

basic difference between the Eulerian and Lagrangian approach is illustr<strong>at</strong>ed in figure<br />

2-7, where the Eulerian reference system is fixed while the Lagrangian reference system<br />

follow the average <strong>at</strong>mospheric motion.<br />

The Eulerian formul<strong>at</strong>ion is aimed to link the main st<strong>at</strong>istical parameters of the<br />

concentr<strong>at</strong>ion field to the st<strong>at</strong>istical properties of the Eulerian fluid velocities, directly<br />

measurable in the PBL. This approach is straightforward and has the gre<strong>at</strong> advantage to<br />

simply implement calcul<strong>at</strong>ions involving chemical reactions. The main limit<strong>at</strong>ion lies in<br />

the solution of the fundamental equ<strong>at</strong>ions used in this approach: there are not<br />

sufficiently general solutions and the presence of turbulence introduces the closure<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

problem, as described earlier. Moreover, the accuracy of the results (and the time<br />

necessary to achieve them) is strongly influenced by the numerical algorithm used to<br />

solve the equ<strong>at</strong>ions. This is the usual method for describing physical phenomena such as<br />

he<strong>at</strong> and mass transfer, and it is commonly used in order to calcul<strong>at</strong>e<br />

micrometeorological parameters.<br />

The main difference of the Lagrangian approach, with respect to the Eulerian<br />

description, is not only the <strong>different</strong> sp<strong>at</strong>ial reference system. While the Eulerian<br />

approach tries to describe the <strong>dispersion</strong> phenomena in a deterministic way, the<br />

Lagrangian method uses a st<strong>at</strong>istical description. This m<strong>at</strong>hem<strong>at</strong>ical approach is more<br />

effective than th<strong>at</strong> used in the Eulerian description, but has the disadvantage of a<br />

difficult description of the chemical processes.<br />

Each of the two approaches can be a valid description of turbulent <strong>dispersion</strong> in the<br />

PBL. The choice is driven by many <strong>different</strong> factors, and it should be based on a caseby-case<br />

approach.<br />

Figure 2-7 Eulerian (a) and Lagrangian (b) reference system for the <strong>at</strong>mospheric<br />

motion (Zannetti, 1990)<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Lagrangian models<br />

Two main types of Lagrangian comput<strong>at</strong>ional models exist: Lagrangian trajectory<br />

models (also known as Lagrangian box models) and Lagrangian particle models (also<br />

known as stochastic Lagrangian models).<br />

The first type is applied to <strong>dispersion</strong> <strong>modelling</strong> by following a box or a column of<br />

boxes (allows explicit comput<strong>at</strong>ion of vertical diffusion) of polluted <strong>air</strong> as it is<br />

transported along mean flow p<strong>at</strong>hs or ‘trajectories’, according to the local time-varying<br />

average wind speed and direction. Pollutants are introduced into the column as it passes<br />

over various sources. Once within the column, pollutants disperse and may become<br />

chemically transformed, and finally leave the column by deposition along the length of<br />

the column’s p<strong>at</strong>h. This is an approach th<strong>at</strong> is particularly suitable for long range<br />

<strong>dispersion</strong> where the dominant <strong>dispersion</strong> mechanism is horizontal advection, and<br />

vertical mixing over the height of the PBL. Flow trajectories are calcul<strong>at</strong>ed either using<br />

meteorological measurements or we<strong>at</strong>her prediction meteorological models. No l<strong>at</strong>eral<br />

diffusion across the sides of the column is included, and concentr<strong>at</strong>ions are assumed<br />

uniform (fully mixed) over the height of the column, taken equal to the height of the<br />

PBL.<br />

This technique is particularly useful for photochemical simul<strong>at</strong>ions and provides<br />

average time-varying concentr<strong>at</strong>ion estim<strong>at</strong>es along the trajectory of the boxes. The<br />

major shortcoming of this technique is the forced assumption of a constant wind speed<br />

and direction throughout the PBL, while, in reality, wind shear plays an important role.<br />

Another problem is the difficulty in comparing their outputs (time-varying<br />

concentr<strong>at</strong>ions along a trajectory) with fixed (Eulerian) <strong>air</strong> quality monitoring d<strong>at</strong>a.<br />

The compelling advantage of using Lagrangian models is th<strong>at</strong> it they require far less<br />

comput<strong>at</strong>ional resources than Eulerian models. Several Lagrangian box models have<br />

been developed for simul<strong>at</strong>ing photochemical reactions inside a moving <strong>air</strong> mass. This<br />

development was triggered by the high comput<strong>at</strong>ional cost of Eulerian photochemical<br />

models, in which chemical and photochemical reactions need to be computed in each<br />

fixed grid cell of the three dimensional comput<strong>at</strong>ional domain. Lagrangian box models,<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

instead, perform these calcul<strong>at</strong>ions on a smaller number of moving cells (Zannetti<br />

1990).<br />

Examples of Lagrangian <strong>dispersion</strong> models applied to <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> problems<br />

include the <strong>urban</strong> scale London Plume Model (Hough and Derwent, 1987), and the<br />

EMEP model (Tsyro, 1998) which includes a represent<strong>at</strong>ion of ozone and PAN<br />

chemistry due to <strong>urban</strong> emissions over a Europe-wide scale.<br />

The second type of Lagrangian models, the stochastic models, are mainly used in shotrange<br />

<strong>dispersion</strong> <strong>modelling</strong>. Emitted gaseous m<strong>at</strong>erial is characterized by a set of<br />

comput<strong>at</strong>ional particles and each particle is moved <strong>at</strong> each time step by deterministic<br />

velocities which take into account the three basic <strong>dispersion</strong> components: the transport<br />

due to the mean fluid velocity; the turbulent fluctu<strong>at</strong>ions of wind components (both<br />

vertical and horizontal); the molecular diffusion. In the Lagrangian particle model, the<br />

turbulent <strong>dispersion</strong> is modeled by tracking the release of a large number of particles as<br />

they are advected with the flow, which is typically gener<strong>at</strong>ed by a meteorological model<br />

and represented by mean flow and turbulent fluctu<strong>at</strong>ions. They have some advantages<br />

compared to the Eulerian models; the turbulent diffusion is actually a Lagrangian<br />

phenomenon. The Lagrangian particle models do not have problems with sharp<br />

gradients in the emissions, and may easily be applied for point and line sources.<br />

Eulerian models may in some cases have problems with neg<strong>at</strong>ive concentr<strong>at</strong>ions due to<br />

numerical errors, which cannot appear in Lagrangian models. Finally, Lagrangian<br />

models are generally flexible, comput<strong>at</strong>ionally inexpensive and easy to apply compared<br />

to Eulerian models. It is still difficult to incorpor<strong>at</strong>e chemical reactions in Lagrangian<br />

particle models, but some encouraging results have been obtained (see e.g. Alessandrini<br />

et al., 2007), though they are still highly time-consuming.<br />

Eulerian grid models<br />

Eulerian grid models solve the flow and advection-diffusion equ<strong>at</strong>ion in a fixed frame<br />

of reference. The flow domain is divided into boxes (or ‘cells’) and the transport terms<br />

in the equ<strong>at</strong>ions are represented by fluxes through the boundary of each box. Such<br />

models are also called ‘gradient transport’ models, since the transport terms are<br />

expressed in terms of sp<strong>at</strong>ial (and temporal) gradients of velocity and concentr<strong>at</strong>ion.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

They are used particularly <strong>at</strong> the <strong>urban</strong> scale or mesoscale, when complex chemical<br />

processes are involved (e.g. photochemical models). One of the first developed models<br />

of this type for applic<strong>at</strong>ions in <strong>urban</strong> areas was the Urban Airshed Model (UAM). Ohter<br />

Eulerian photochemical models are listed in the EPA website (USEPA, 2005b): CAMx,<br />

CALGRID, CMAQ.<br />

Comput<strong>at</strong>ional Fluid Dynamics <strong>modelling</strong><br />

Comput<strong>at</strong>ional Fluid Dynamics (CFD) <strong>modelling</strong> is a term used to describe the analysis<br />

of fluid flow, mass and he<strong>at</strong> transfer, and associ<strong>at</strong>ed phenomena (such as chemical<br />

reactions), using sophistic<strong>at</strong>ed numerical methods for solving the (Eulerian) equ<strong>at</strong>ions<br />

of flow, mass and he<strong>at</strong> transfer, and other associ<strong>at</strong>ed equ<strong>at</strong>ions. Also coupled Eulerian-<br />

Lagrangian CFD models exist. They are often called hybrid <strong>dispersion</strong> models and they<br />

have been developed in order to surpass some of the disadvantages in Eulerian and<br />

Lagrangian models. They usually solve the flow using an Eulerian approach and then<br />

calcul<strong>at</strong>e concentr<strong>at</strong>ions using a Lagrangian particle model.<br />

The fundamental principle of CFD is the same as the other Eulerian models described<br />

above, but CFD codes were mainly developed for engineering applic<strong>at</strong>ions th<strong>at</strong> typically<br />

involve very complex shaped wall and other boundary conditions (e.g. <strong>air</strong>craft and<br />

automobile aerodynamics, turbomachinery design, chemical process engineering). The<br />

capability of CFD codes to deal with complex boundary conditions with the use of<br />

flexible and fine-scale grids is wh<strong>at</strong> distinguishes them from larger scale, simple grid<br />

Eulerian models, and wh<strong>at</strong> makes CFD the only comput<strong>at</strong>ional model applicable to<br />

microscale, near-field <strong>urban</strong> <strong>dispersion</strong> applic<strong>at</strong>ions.<br />

CFD <strong>modelling</strong> is typically divided into the following c<strong>at</strong>egories:<br />

a) Direct Numerical Simul<strong>at</strong>ion (DNS): consists in solving the equ<strong>at</strong>ions of Navier-<br />

Stokes in their most general form, by considering all the <strong>scales</strong> of turbulence. This<br />

method is certainly nearest to an exact resolution but it requires a very fine space<br />

resolution, which gener<strong>at</strong>es excessively long computing times and limit its<br />

applic<strong>at</strong>ion to rel<strong>at</strong>ively low Reynolds numbers. Its use is restricted to the<br />

fundamental studies on the mechanisms of turbulence.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

b) Large Eddy Simul<strong>at</strong>ion (LES): is based on an explicit resolution of the gre<strong>at</strong><br />

structures of the turbulence, coupled to a st<strong>at</strong>istical parameteriz<strong>at</strong>ion of the effect of<br />

the small structures. The space resolution of the mesh constitutes a filter which<br />

allows to simul<strong>at</strong>e only the eddies whose diameter is higher than the size of the<br />

mesh. The contribution of the small eddies on the diffusion of the momentum is<br />

taken into account by a sub-grid scale model (Smagorinsky, 1963). The LES models<br />

are particularly adapted to the study of the <strong>at</strong>mospheric turbulence, for which they<br />

were initially developed (for example Deardorff, 1970). It is possible to mention<br />

some examples of applic<strong>at</strong>ion to the study of the <strong>urban</strong> canopy and of the flow<br />

inside a street (Ca et al., 1995 ; Chabni et al., 1998). However, the geometrical<br />

complexity of these configur<strong>at</strong>ions and the difficulty in imposing realistic boundary<br />

conditions still restrict this type of applic<strong>at</strong>ions.<br />

c) Reynolds Averaged Navier-Stokes simul<strong>at</strong>ion (RANS): based on st<strong>at</strong>istical<br />

modeling of the equ<strong>at</strong>ions of Navier-Stokes, it consists in solving the Reynolds<br />

Averaged Navier-Stokes flow equ<strong>at</strong>ions with the use of ‘turbulence model’<br />

approxim<strong>at</strong>ions for turbulence closure (such as the standard k-ε model, ASM and<br />

RSM models). It is an approach which does not allow to detail the characteristics of<br />

turbulence, however, it often proves to be a good tool for the study of the average<br />

fields, in particular when one is interested in the flows around complex geometries.<br />

Many authors applied this type of modeling to study the <strong>at</strong>mospheric flow around<br />

obstacles (i.e. P<strong>at</strong>erson and Apelt, 1986 ; Murakami and Mochida, 1988 ; Hunter et<br />

al., 1992) and groups of obstacle (e.g. simul<strong>at</strong>ion developed in the framework of<br />

COST 732 action, URL 2008).<br />

The cost of the accuracy of the predictions in terms of comput<strong>at</strong>ional resources is very<br />

high for DNS and LES simul<strong>at</strong>ions, which typically require large amounts of<br />

supercomputer time and, <strong>at</strong> present, are undertaken only for the purposes of academic<br />

research. RANS solving CFD methods with turbulence models are less demanding, and<br />

are therefore widely used for practical applic<strong>at</strong>ions.<br />

CFD <strong>modelling</strong> studies are providing increasingly realistic results, although there is still<br />

much uncertainty about the range of its applicability, the accuracy of the results, and the<br />

choice of appropri<strong>at</strong>e <strong>modelling</strong> str<strong>at</strong>egies. It is therefore necessary to valid<strong>at</strong>e CFD<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

results carefully against wind tunnel and field d<strong>at</strong>a; big efforts in this direction were<br />

done in the framework of COST action 732 ‘Quality assurance of microscale<br />

meteorological models’ (URL 2008).<br />

2.4.7 Multiscale approach<br />

There are two possible approaches for constructing <strong>modelling</strong> systems based on nested<br />

models (Soulhac et al., 2003). The first is based on the use of a single three-dimensional<br />

Eulerian model, nested <strong>at</strong> <strong>different</strong> <strong>scales</strong>; the main advantage of this type of model is<br />

th<strong>at</strong> it uses the same methodology for all the <strong>different</strong> <strong>scales</strong>, and this facilit<strong>at</strong>es the<br />

exchange of inform<strong>at</strong>ion between calcul<strong>at</strong>ions <strong>at</strong> the <strong>different</strong> <strong>scales</strong>; the main<br />

disadvantage is th<strong>at</strong> the models are comput<strong>at</strong>ionally intensive, requiring considerable<br />

computing time and resources. Soulhac et al. (2003) raised doubts about the validity of<br />

using the same <strong>modelling</strong> assumptions for all the <strong>scales</strong> involved. The second approach<br />

is based on the use of <strong>different</strong> types of models for <strong>different</strong> <strong>scales</strong>, with each model<br />

chosen to represent the dominant physical process <strong>at</strong> th<strong>at</strong> particular scale. Such a<br />

<strong>modelling</strong> system might therefore consist of <strong>different</strong> models for calcul<strong>at</strong>ions <strong>at</strong> the<br />

regional, <strong>urban</strong>, neighbourhood and street <strong>scales</strong>. The principal advantage of this<br />

approach is th<strong>at</strong> each model can be chosen to reproduce the dominant processes <strong>at</strong> the<br />

relevant scale, and this usually means th<strong>at</strong> they are much more efficient than a general<br />

3-D model. The major disadvantage is th<strong>at</strong> the models often use very <strong>different</strong><br />

approaches, so th<strong>at</strong>, for example, a <strong>modelling</strong> system might consist of a combin<strong>at</strong>ion of<br />

Eulerian, box, Gaussian plume, canyon and Lagrangian stochastic models. It is<br />

extremely difficult to couple such a dispar<strong>at</strong>e ensemble of models, particularly when<br />

coupling needs to be both up-scale and down-scale. For this reason, most current<br />

<strong>modelling</strong> systems which use a variety of <strong>different</strong> models do not implement any strong<br />

coupling between the models. This simplific<strong>at</strong>ion is acceptable when the phenomena of<br />

interest are only weakly dependent on processes <strong>at</strong> other <strong>scales</strong>, but in many cases it is<br />

necessary to model several <strong>different</strong> <strong>scales</strong> simultaneously, or quasi-simultaneously<br />

(Soulhac et al., 2003).<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

2.5 City scale and regional scale <strong>modelling</strong><br />

2.5.1 Flow and <strong>dispersion</strong> phenomena<br />

The city scale is, essentially, the <strong>urban</strong> area: an area distinguished from its surroundings<br />

by its rel<strong>at</strong>ively large obstacles (buildings and other structures) and, hence, by a large<br />

drag force, by the infusion of he<strong>at</strong> from man’s activities and by the large he<strong>at</strong>-storage<br />

capacity of concrete, other building m<strong>at</strong>erials, and parking lots. The city scale can<br />

include vari<strong>at</strong>ions in <strong>urban</strong> building types and spacing and primarily concerns the<br />

boundary layer above the average building height, H. The regional scale is the larger<br />

surrounding area th<strong>at</strong> is influenced by or influences phenomena <strong>at</strong> the city scale (Britter<br />

and Hanna 2003).<br />

The regional scale acts as the “background” for the flow on the city scale while the city<br />

scale acts to modify the regional scale flow. The city will divert the regional scale flow<br />

vertically and l<strong>at</strong>erally both kinetically due to direct flow blockage and dynamically due<br />

to the increased drag force provided by the buildings. The city acts as a source of<br />

turbulent kinetic energy th<strong>at</strong> will enhance vertical mixing over the city and as a<br />

momentum sink for the regional flow, producing a modific<strong>at</strong>ion to the velocity profiles.<br />

The regional scale flow may also be dynamically affected through a thermally gener<strong>at</strong>ed<br />

“<strong>urban</strong> he<strong>at</strong> island” (form<strong>at</strong>ion of a cap cloud over the <strong>urban</strong> area); the <strong>urban</strong> he<strong>at</strong> island<br />

produces a convergence into the city and vertical motions over the city (see figure 2-8).<br />

The regional scale provides the background chemical composition of the <strong>air</strong> within<br />

which the pollutants released in the city will mix, react and dilute. The city provides the<br />

pollutant source for an “<strong>urban</strong> plume” th<strong>at</strong> can be easily observed 100 to 200 km<br />

downwind (figure 2-8).<br />

The transport and <strong>dispersion</strong> of pollutants over the <strong>urban</strong> area is altered as a result of<br />

increased mechanical turbulence caused by the rel<strong>at</strong>ively large obstacles over which the<br />

pollutants must travel. Furthermore, the <strong>urban</strong> he<strong>at</strong> island causes the boundary layer<br />

over an <strong>urban</strong> area to become more unstable as thermal turbulence increases. Both of<br />

these effects enhance <strong>dispersion</strong>. The wind velocities are altered in magnitude and<br />

direction. Wind speeds over the <strong>urban</strong> area are slower owing to the increased roughness<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

of these areas, and wind directions could change as a result of the he<strong>at</strong> island<br />

circul<strong>at</strong>ions or the bending of the flow around and over the <strong>urban</strong> area.<br />

Figure 2-8 Urban he<strong>at</strong> island with light regional wind (left) and <strong>urban</strong> plume with<br />

moder<strong>at</strong>e regional wind (right) [Zannetti 1990]<br />

M<strong>at</strong>hem<strong>at</strong>ical modeling of flows on the regional scale requires the parameteriz<strong>at</strong>ion of<br />

the effects of the <strong>urban</strong> surface on the flow. For example, mesoscale meteorological<br />

models with horizontal grid <strong>scales</strong> of 2–8 km are run for special purposes around <strong>urban</strong><br />

areas and can better resolve the types of land use (Brown 2000). The mesoscale models<br />

use a typical vertical grid spacing of approxim<strong>at</strong>ely 20 m near the surface and<br />

approxim<strong>at</strong>ely 200 m in the middle and top of the boundary layer. Such models often<br />

parameterize the <strong>urban</strong> area by using a simple prescription of land use. Thus an “<strong>urban</strong>”<br />

land-use grid may be assigned a single surface roughness length, soil moisture, albedo,<br />

and Bowen r<strong>at</strong>io. At the city scale a similar need for the parameteriz<strong>at</strong>ion of the <strong>urban</strong><br />

surface exists.<br />

Urban obstacles exert a rel<strong>at</strong>ively large drag force on the <strong>at</strong>mosphere. This can be<br />

tre<strong>at</strong>ed by standard <strong>at</strong>mospheric boundary-layer formulas (Stull 1988), as long as the<br />

mean building height, H, is small compared to the surface boundary-layer depth, which<br />

is usually approxim<strong>at</strong>ely higher than 100 or 200 m, and the surface has some st<strong>at</strong>istical<br />

homogeneity.<br />

Figure 2-9, from Britter and Hanna (2003), depicts a cross section of a typical <strong>urban</strong><br />

area, showing the three major sublayers: the <strong>urban</strong> canopy sublayer, the roughness<br />

sublayer, and the inertial sublayer. The inertial sublayer is the area where the boundary<br />

layer has adapted to the integr<strong>at</strong>ed effect of the underlying <strong>urban</strong> surface, and it is<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

tre<strong>at</strong>ed by standard <strong>at</strong>mospheric boundary-layer formulas. In the <strong>urban</strong> canopy sublayer<br />

the flow <strong>at</strong> a specific point is directly affected by the local obstacles, and in the<br />

roughness sublayer the flow is still adjusting to the effects of many obstacles.<br />

Figure 2-9 Schem<strong>at</strong>ic of the flow through and over an <strong>urban</strong> area (Britter and<br />

Hanna 2003)<br />

The surface shear stress (averaged over the <strong>urban</strong> surface) defines a friction velocity,<br />

u*, th<strong>at</strong> can be used to derive wind and turbulence profiles. It is assumed th<strong>at</strong>, regardless<br />

of the underlying surface, the wind speed <strong>at</strong> the top of the boundary layer is<br />

approxim<strong>at</strong>ely equal to the equilibrium wind speed defined by the geostrophic wind<br />

speed, which is based on the synoptic pressure gradient. For larger surface roughness<br />

the drag force (or u*) is larger, and the wind speed <strong>at</strong> any given level in the boundary<br />

layer is smaller. The friction velocity, u*, is the key scaling velocity in Monin-Obukhov<br />

similarity theory (Stull 1988). The other key scaling parameter is the Monin-Obukhov<br />

length, L, which accounts for the effects of <strong>at</strong>mospheric stability and is proportional to<br />

u* 3 divided by the surface turbulent (or sensible) he<strong>at</strong> flux from the ground surface Hs:<br />

L =<br />

3 ( u*<br />

κ )<br />

( gH C ρT<br />

)<br />

s<br />

p<br />

where g is the acceler<strong>at</strong>ion due to gravity, Cp is the specific he<strong>at</strong> of <strong>air</strong> <strong>at</strong> constant<br />

pressure, ρ and T are the <strong>air</strong> density and temper<strong>at</strong>ure, respectively, and κ is von<br />

Karman’s constant taken to be 0.40. Hs is positive in the day and is neg<strong>at</strong>ive <strong>at</strong> night.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

The wind-speed profile conforms to Monin-Obukhov similarity theory, with the<br />

addition of the two scaling lengths, z0 (the surface roughness length) and d (the surface<br />

displacement length):<br />

u * ⎛ z − d ⎞ ⎛ z ⎞<br />

U ( z)<br />

= ( ln<br />

⎜<br />

⎟ + ψ ⎜ ⎟ )<br />

κ ⎝ z0<br />

⎠ ⎝ L ⎠<br />

where ψ(z/L) is a universal dimensionless function (Stull 1988) th<strong>at</strong> equals zero in<br />

neutral or adiab<strong>at</strong>ic conditions (i.e., when L=∞ or z/L=0). For the purposes of the<br />

following discussion of the <strong>urban</strong> boundary layer, neutral conditions are assumed for<br />

which the preceding equ<strong>at</strong>ion reduces to<br />

u * ⎛ z − d ⎞<br />

U ( z)<br />

= ln<br />

⎜<br />

⎟<br />

κ ⎝ z 0 ⎠<br />

Thus, given a wind-speed observ<strong>at</strong>ion <strong>at</strong> a height gre<strong>at</strong>er than approxim<strong>at</strong>ely 2H (see<br />

figure 2-9) and given an estim<strong>at</strong>e of z0 and d, then u* can be estim<strong>at</strong>ed from the<br />

equ<strong>at</strong>ion.<br />

Parameteriz<strong>at</strong>ions for z0 and d are possible using several approaches. Land-use methods<br />

are used in most applied <strong>dispersion</strong> models. These methods are based on the tables of z0<br />

versus descriptive land-use types (e.g., Stull 1988). The problem for those interested in<br />

<strong>urban</strong> sites is th<strong>at</strong> the land-use c<strong>at</strong>egories are usually very broadly defined, as they have<br />

to cover all land uses, ranging from ice fl<strong>at</strong>s and deserts to w<strong>at</strong>er surfaces and crops and<br />

forests. For example, the c<strong>at</strong>egories suggested by Stull (1988) do not account for<br />

commercial or industrial sites, even though there are four separ<strong>at</strong>e c<strong>at</strong>egories for towns<br />

and cities, with z0 ranging from 0.3 m for “outskirts of towns” to 2 m for “centers of<br />

cities with very tall buildings.” More detailed descriptions of <strong>urban</strong> land-use types have<br />

been proposed by several authors (e.g., Davenport et al., 2000; Grimmond and Oke,<br />

1999; Theurer, 1999), improving the reliability of this type of parameteris<strong>at</strong>ion in <strong>urban</strong><br />

areas. Results presented by Grimmond and Oke (1999), based on an extensive review of<br />

wind-profile observ<strong>at</strong>ions in many <strong>urban</strong> areas, show th<strong>at</strong> z0/H ranges from<br />

approxim<strong>at</strong>ely 0.06 to 0.20, and d/H ranges from approxim<strong>at</strong>ely 0.35 to 0.85.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

More precise estim<strong>at</strong>es of z0 and d can be made using inform<strong>at</strong>ion about building sizes<br />

and spacing. In particular parameteriz<strong>at</strong>ions based on the lambda parameters may be<br />

useful. The lambda parameters are defined as:<br />

λ<br />

≡ A<br />

p<br />

f<br />

p<br />

f<br />

A<br />

d<br />

d<br />

plan density<br />

λ ≡ A A frontal density<br />

where Ad is the mean lot area, Ap is the mean plan area, and Af is the mean frontal area.<br />

The dimensionless frontal area λf is more important to drag because it represents the<br />

surface facing the wind flow. Typical values are about 0.1 for areas with a moder<strong>at</strong>e<br />

density of buildings and 0.3 for downtown areas. Grimmond and Oke (1999) reviewed<br />

and evalu<strong>at</strong>ed many competing techniques for determining z0 and d from λp and λf. They<br />

also acknowledged three types of <strong>urban</strong> flow, classified according to the aerodynamic<br />

interactions between the constituent buildings, as described by Hussain and Lee (1980)<br />

and illustr<strong>at</strong>ed in figure 2-10:<br />

a) isol<strong>at</strong>ed roughness: buildings are so distant th<strong>at</strong> their wakes re-<strong>at</strong>tach on the ground<br />

and decay significantly in the intervening distance, and therefore cannot interact<br />

strongly with each other. In this case the flow field around the group can be thought<br />

as a simple superposition of the flow fields around each building as if in isol<strong>at</strong>ion.<br />

b) wake interference: the spacing between buildings is not large enough for the wakes<br />

of the buildings to decay in the spaces between the building, but wide enough for the<br />

flow above the buildings to reach between the buildings down to the ground. The<br />

interaction between the building wakes leads to the form<strong>at</strong>ion of complex flow<br />

p<strong>at</strong>terns between them th<strong>at</strong> are strongly coupled with the flow above, leading to an<br />

increase of aerodynamic roughness.<br />

c) skimming flow: as the spacing between buildings becomes closer, the flow above<br />

the buildings becomes rel<strong>at</strong>ively de-coupled from the flow between the buildings,<br />

and appears to ‘skim’ over the top of the buildings, as if over a fl<strong>at</strong> rough surface.<br />

The flow between the buildings is characterized by stable re-circul<strong>at</strong>ion vortices,<br />

channeled flow and rel<strong>at</strong>ively stagnant areas.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Figure 2-10 Regimes of flow over obstacle arrays<br />

Typical values for z0 and d as function of λp and λf are given by Britter and Hanna<br />

(2003).<br />

One aspect omitted from most techniques used for describing <strong>urban</strong> areas is the gre<strong>at</strong><br />

variability in building heights. R<strong>at</strong>ti et al. (2002) show th<strong>at</strong> the r<strong>at</strong>io of the standard<br />

devi<strong>at</strong>ion of building heights to the mean building height, H, ranges up to 1.0 for some<br />

<strong>urban</strong> areas. As a consequence the skimming-flow regime may not be well represented<br />

by labor<strong>at</strong>ory studies th<strong>at</strong> use obstacles of constant height.<br />

Because of the difficulties involved in processing geometrical d<strong>at</strong>a from multiple<br />

individual buildings th<strong>at</strong> are needed to apply some of the morphological methods, these<br />

methods have not been widely used in the past for estim<strong>at</strong>ing the roughness length for<br />

<strong>air</strong>-quality modeling applic<strong>at</strong>ions. However, very recently there has been demand for<br />

more detailed modeling, and this has led to the increased use of digital elev<strong>at</strong>ion models<br />

of cities (R<strong>at</strong>ti et al. 2002) for morphological studies.<br />

Currently, the dynamical effect of <strong>urban</strong> areas in mesoscale or larger scale models is<br />

usually represented through the specific<strong>at</strong>ion of a single roughness length. This<br />

approach is too simplistic as it does not give any inform<strong>at</strong>ion on the mixing and<br />

transport within the <strong>urban</strong> canopy. Urban areas might be better represented as regions<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

(or neighbourhoods) of gradually varying roughness, because the flow is continuously<br />

readjusting to these changing surface conditions. Very few oper<strong>at</strong>ional transport and<br />

<strong>dispersion</strong> models applied to the city scale allow inputs of space-varying z0. Instead, it<br />

may be more robust to simply estim<strong>at</strong>e an average or represent<strong>at</strong>ive z0 over an area<br />

(Britter and Hanna, 2003).<br />

Because the r<strong>at</strong>e of <strong>dispersion</strong> of a pollutant cloud is proportional to the turbulent<br />

velocity components, u’i, investig<strong>at</strong>ors have expressed much interest in observ<strong>at</strong>ions of<br />

these turbulent velocity components over <strong>urban</strong>, sub<strong>urban</strong>, commercial, and industrial<br />

surfaces (Britter and Hanna, 2003). Rotach (1995) and Roth (2000) have measured and<br />

reviewed, respectively, the turbulence above <strong>urban</strong> areas. The turbulent velocity<br />

components, scaled on a u* calcul<strong>at</strong>ed from the local height-dependent Reynolds stress,<br />

were approxim<strong>at</strong>ely constant. Britter and Hanna (2003) give the following expressions:<br />

u’x = 2.4u*, u’y = 1.9u*, and u’z = 1.3u*, where the x axis is parallel to the wind<br />

direction, u* is based on the surface shear stress, usually assumed for the ABL <strong>at</strong><br />

heights above approxim<strong>at</strong>ely 2H. At lower heights measured in the roughness sublayer<br />

the turbulent velocity components decrease somewh<strong>at</strong> as the ground surface is<br />

approached.<br />

At the regional scale, the <strong>urban</strong> plume is observed to extend downwind of <strong>urban</strong> areas.<br />

A complex mix of pollutants is present, and there are likely to be chemical reactions and<br />

gas-to-particle conversions (Britter and Hanna, 2003). At the city scale, where it is<br />

assumed th<strong>at</strong> a pollutant plume extends vertically over a layer of depth <strong>at</strong> least 2H, there<br />

is no need to account for effects around individual buildings. Consequently, <strong>dispersion</strong><br />

can be calcul<strong>at</strong>ed with standard approaches th<strong>at</strong> apply for general boundary layers.<br />

Larger surface roughness produces larger z0, u* and turbulence levels, and these lead to<br />

gre<strong>at</strong>er dilution of a plume and reduced concentr<strong>at</strong>ions downwind (Hanna et al., 1982;<br />

Roberts et al., 1994).<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

2.5.2 Experimental <strong>modelling</strong><br />

When studying <strong>air</strong> quality <strong>at</strong> the <strong>urban</strong> scale, we are not interested in geometric details<br />

of the considered area. Nevertheless, as described previously, the phenomena involved<br />

are indeed very complex, and several processes need to be simul<strong>at</strong>ed and studied. A<br />

very high number of <strong>different</strong> emission sources is involved, and ideal case-studies may<br />

differ substantially from real situ<strong>at</strong>ions. This limits our understanding of the <strong>dispersion</strong><br />

phenomena in <strong>urban</strong> areas, because comprehensive experimental d<strong>at</strong>a are very rare and<br />

they are difficult to obtain and very expensive.<br />

One of the first <strong>urban</strong> experiments, the St. Louis <strong>dispersion</strong> study (McElroy and Pooler,<br />

1968), was carried out from 1963 to 1965. The d<strong>at</strong>a from this experiment led to the<br />

‘<strong>urban</strong> c<strong>at</strong>egory’ curves for σy and σz of Briggs (1973) for use in conventional Gaussian<br />

plume models (see Hanna, et al., 1982). In 1978 and 1979, an experiment was<br />

conducted in Copenhagen (Gryning and Lyck, 1984) to study <strong>dispersion</strong> of elev<strong>at</strong>ed<br />

releases over <strong>urban</strong> areas. Because these experiments were limited by the lack of<br />

instrument<strong>at</strong>ion to measure vertical profiles of turbulent velocities, the associ<strong>at</strong>ed d<strong>at</strong>a<br />

sets cannot be readily used to understand the rel<strong>at</strong>ionship between <strong>dispersion</strong> and <strong>urban</strong><br />

meteorology (Venk<strong>at</strong>ram et al., 2004). In order to overcome the lack of comprehensive<br />

experimental d<strong>at</strong>a for <strong>dispersion</strong> in <strong>urban</strong> areas, particularly from low-level sources<br />

(apart from routine <strong>air</strong> quality monitoring), several <strong>urban</strong> <strong>dispersion</strong> experiment relevant<br />

to a compact source were conducted in Europe and in the USA during the last years.<br />

The main experiments are the tests performed in Birmingham (UK) in 1999 (Cooke et<br />

al. 2000), the Urban 2000 study conducted in the Salt Lake City valley (Allwine et al.,<br />

2002), the experiments performed in Los Angeles in 2001 (Rappolt, 2001) and in San<br />

Diego in 2002 (Venk<strong>at</strong>ram et al., 2004), the Joint Urban 2003 program realized <strong>at</strong><br />

Oklahoma City (Allwine et al., 2004) and the DAPPLE project carried out and planned<br />

for London (Arnold et al., 2004). The main objective of these experiments was to make<br />

available experimental d<strong>at</strong>a for the evalu<strong>at</strong>ion and development of m<strong>at</strong>hem<strong>at</strong>ical<br />

<strong>dispersion</strong> models. With the same aim, <strong>urban</strong> field campaigns, consisting of<br />

contemporary use of advanced meteorological measures (SODAR, RASS and LIDAR)<br />

and routine <strong>air</strong> quality monitoring, were realized in Europe, in Japan and in the USA;<br />

one example are the campaigns carried out in Lisbon, Graz and Milan in the framework<br />

of SATURN project (Mestayer et al. 2003).<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Physical <strong>modelling</strong> in wind tunnel <strong>at</strong> this scale is not simple. Large <strong>urban</strong> areas are too<br />

large to be modeled in labor<strong>at</strong>ory with the usual scaling factors. However, wind tunnel<br />

experiments may be useful to characterize flows over <strong>urban</strong> areas simul<strong>at</strong>ed as large<br />

arrays of obstacles, and have been used in order to find suitable parameteriz<strong>at</strong>ions for<br />

the wind profile, as explained in the previous section (see, for example, Davidson et al.<br />

1996, MacDonald 1997a, MacDonald et al. 1998, Leitl et al. 2007). In order to avoid<br />

some of the problems of scaling and resolution in a wind tunnel model (both in space<br />

and time) these experiments were often combined with field experiments with artificial<br />

structures (obstacle arrays erected in the PBL). The basic idea is to choose an<br />

appropri<strong>at</strong>e intermedi<strong>at</strong>e obstacle scale (about 1:10) using suitable obstacles which can<br />

be laid out on fl<strong>at</strong> terrain such as a mowed field. This methodology has been used<br />

successfully in the experiments conducted <strong>at</strong> Cardington (UK) in 1993 (Davidson et al.<br />

1995), in the experiments performed <strong>at</strong> the UMIST Environmental Technology Centre<br />

Dispersion Test Site (Macdonald 1997b), in the KIT FOX field experiments (Hanna and<br />

Chang 2001) and in the Mock Urban Setting Test experiment (MUST, Biltoft, 2001).<br />

2.5.3 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong><br />

There is a hierarchy in complexity for models for tre<strong>at</strong>ing <strong>dispersion</strong> in <strong>urban</strong> areas <strong>at</strong><br />

the city scale. They range from the simplest parametric models to complex threedimensional<br />

comput<strong>at</strong>ional models. The various components of a comprehensive <strong>urban</strong><br />

<strong>air</strong>shed or regional <strong>air</strong> quality model are schem<strong>at</strong>ically shown in figure 2-11 (Arya,<br />

1999). A simpler analytical <strong>urban</strong> <strong>air</strong> quality model for a particular pollutant species<br />

may contain only a few of these, while a regional photochemical oxidant or acidic<br />

precipit<strong>at</strong>ion model would have most, if not all, of the components depicted in figure 2-<br />

11. The key parts of an <strong>urban</strong> scale <strong>dispersion</strong> model are: source and emission<br />

inventories, wind fields, diffusion parameteriz<strong>at</strong>ions, chemical transform<strong>at</strong>ions and<br />

removal processes (Arya, 1999).<br />

A variety of <strong>urban</strong> diffusion models are used to predict concentr<strong>at</strong>ions of primary<br />

pollutants resulting from <strong>urban</strong> emissions. Most <strong>urban</strong> <strong>air</strong> quality models also predict<br />

concentr<strong>at</strong>ions of secondary pollutants resulting from photochemical reactions in <strong>urban</strong><br />

<strong>air</strong> during transport and <strong>dispersion</strong>.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Figure 2-11 Components of a comprehensive <strong>air</strong> quality model. From Seinfeld<br />

(1986)<br />

Simpler <strong>urban</strong> diffusion models apply the Gaussian plume formul<strong>at</strong>ion (see section<br />

4.2.2) to multiple point and area sources of <strong>pollution</strong> in an <strong>urban</strong> area (see, e.g., Turner,<br />

1964; Gifford and Hanna, 1973). Due to the distributed n<strong>at</strong>ure of these sources,<br />

however, a numerical model becomes necessary even when an analytical formul<strong>at</strong>ion is<br />

used for each individual point source or each grid element of the area source emission.<br />

Simple Gaussian models account for the <strong>urban</strong> environment by using modified<br />

parameteriz<strong>at</strong>ions of σy and σz. However, due to the lack of experimental d<strong>at</strong>a cited<br />

earlier, these parameteriz<strong>at</strong>ions are less reliable for <strong>urban</strong> areas than for rural areas.<br />

Models such as ISC3 (USEPA, 1995), are capable of tre<strong>at</strong>ing multiple sources (point,<br />

line and area sources), both in short-term and in long-term applic<strong>at</strong>ions. Complex<br />

terrain, deposition and chemical transform<strong>at</strong>ion phenomena are tre<strong>at</strong>ed in a very<br />

simplified manner. Meteorological input usually consists of wind speed, wind direction,<br />

stability class and mixing height (one value for the whole domain). Temper<strong>at</strong>ure may be<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

specified in order to simul<strong>at</strong>e the plume rise for buoyant emissions. Despite their<br />

simplicity, however, such models have been applied for <strong>air</strong> quality assessment in many<br />

cities (see, e.g., Pr<strong>at</strong>t et al., 2004; Metallo et al., 1995).<br />

New gener<strong>at</strong>ion Gaussian models have become available in the last decade. They are<br />

capable of tre<strong>at</strong>ing complex terrain and three-dimensional meteorological field using<br />

modified Gaussian formul<strong>at</strong>ions (e.g., the segmented plume approach or the Lagrangian<br />

puff approach, see section 4.2.2). Example of widely used models of this type are:<br />

AERMOD (Cimorelli et al.,1998), CALPUFF (Scire et al., 2000b), ADMS-Urban<br />

(CERC, 2003), UDM-FMI (Karppinen et al., 1998), and SAFE AIR (Canepa et al.,<br />

2003). Meteorological fields are provided by advanced meteorological preprocessors,<br />

capable of calcul<strong>at</strong>ing the variables of interest for the <strong>dispersion</strong> phenomena in the<br />

entire domain using scaling parameters such as the Monin-Obukhov length and the<br />

friction velocity r<strong>at</strong>her than the simpler stability class. Applic<strong>at</strong>ions of such models for<br />

<strong>air</strong> quality assessment in <strong>urban</strong> areas have been carried out, for example, by: Owen et al.<br />

(1999); Karppinen et al. (2000b).<br />

Another c<strong>at</strong>egory of simple parametric <strong>urban</strong> <strong>air</strong> quality model is the so called box<br />

model. Diffusion from individual sources is not considered, but all sources are<br />

considered in estim<strong>at</strong>ing source emission into the box. With the simplified tre<strong>at</strong>ment of<br />

meteorology in terms of the effective transport winds and mixing height, one can use a<br />

sophistic<strong>at</strong>ed chemical and photochemical module (Arya, 1999). They have been used<br />

for predicting concentr<strong>at</strong>ions of ozone and other photochemical pollutants in <strong>urban</strong><br />

areas (for example, Demerjian and Schere, 1979; Dodge, 1977).<br />

Other non-Gaussian parametric models have also been used for <strong>air</strong> quality <strong>modelling</strong> in<br />

<strong>urban</strong> areas. They have been often developed in order to provide background<br />

concentr<strong>at</strong>ions to smaller scale (usually street scale) models (for example, Berkowicz,<br />

2000b; Mazzeo and Venegas, 1991; Venegas and Mazzeo, 2002).<br />

Many mesoscale flow models include a <strong>dispersion</strong> extension th<strong>at</strong> may be <strong>at</strong>tained<br />

through an Eulerian modeling approach or a Lagrangian stochastic approach, and these<br />

models or the modeling approach have been extended to the city scale (Sch<strong>at</strong>zmann et<br />

al. 1997). Especially in recent years, however, most applic<strong>at</strong>ions of <strong>urban</strong> <strong>modelling</strong> <strong>at</strong><br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

the city scale have focused on photochemical pollutants and aerosols. For such<br />

applic<strong>at</strong>ions, comprehensive models th<strong>at</strong> incorpor<strong>at</strong>e realistic descriptions of emissions,<br />

meteorology, chemistry, and removal processes occurring in an <strong>air</strong> basin are needed.<br />

Eulerian grid models are frequently used in such cases. These are based on the<br />

ensemble-averaged advection-diffusion equ<strong>at</strong>ions including chemical transform<strong>at</strong>ion<br />

terms for all the chemical species of interest. One of the first regul<strong>at</strong>ory photochemical<br />

models applied to <strong>urban</strong> areas was the Urban Airshed Model, developed by the<br />

U.S.EPA. Its current version UAM-V (SAI, 1999) is one of the recommended<br />

photochemical models by the USEPA (2005b). Another recommended model is CAMx<br />

(ENVIRON, 2005), with enhanced capabilities of tre<strong>at</strong>ing chemical transform<strong>at</strong>ions.<br />

Another commonly used Eulerian grid models is CALGRID (Scire et al., 1989). Many<br />

applic<strong>at</strong>ions in <strong>urban</strong> areas for <strong>air</strong> quality assessment can be found (for example,<br />

Scheffe, 1990; Harley et al., 1993; Giovannoni and Russell, 1995; Polla M<strong>at</strong>tiot et al.,<br />

2002)<br />

Also the Lagrangian approach is often used in order to study <strong>dispersion</strong> <strong>at</strong> the <strong>urban</strong><br />

scale. Dispersion <strong>modelling</strong> using a Lagrangian particle model is routinely applied in a<br />

broad range of permit and assessment domains in <strong>different</strong> parts of the world; for<br />

example Austal 2000 has been applied since 2002 as regul<strong>at</strong>ory model in Germany<br />

(Janicke U. and Janicke L., 2007).<br />

Another <strong>at</strong>tempted approach for <strong>air</strong> quality assessment <strong>at</strong> the city scale is th<strong>at</strong> of<br />

HYPACT (Walko et al., 2001), which couples an Eulerian grid model for flow<br />

simul<strong>at</strong>ion and a Lagrangian particle model for <strong>dispersion</strong> calcul<strong>at</strong>ions.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

2.6 Neighbourhood scale <strong>modelling</strong><br />

The neighbourhood scale is a sp<strong>at</strong>ial scale of 1–2 km; it is also a scale over which some<br />

st<strong>at</strong>istical homogeneity may be expected; the city then is seen as being composed of<br />

these neighbourhoods. At this scale two <strong>different</strong> approaches are possible: the first is a<br />

parameteriz<strong>at</strong>ion of the <strong>urban</strong> form appropri<strong>at</strong>e for flow and <strong>dispersion</strong> (MacDonald<br />

2000), while the second is to <strong>at</strong>tempt, although <strong>at</strong> large expense, comput<strong>at</strong>ional studies<br />

th<strong>at</strong> are obstacle resolving (Sch<strong>at</strong>zmann et al. 2002).<br />

The first approach has become very popular recently; the popularity stemming mainly<br />

through concern about the <strong>dispersion</strong> of accidental or deliber<strong>at</strong>e releases of hazardous<br />

m<strong>at</strong>erials in <strong>urban</strong> or industrial areas. The second approach can obviously be extended<br />

down to encompass the street scale. Such comput<strong>at</strong>ional studies then become a balance<br />

between the region to be studied, the level of geometrical detail required and the<br />

computing resources available. Dispersion studies on this scale will likely require a<br />

more refined knowledge of the flow within and immedi<strong>at</strong>ely above the <strong>urban</strong> canopy<br />

(Brtitter and Hanna 2003).<br />

2.6.1 Flow and <strong>dispersion</strong> phenomena<br />

The flow over and through <strong>urban</strong> areas is characterized in Section 2.5.1 with the<br />

descriptive terms isol<strong>at</strong>ed, wake interference, and skimming. Real <strong>urban</strong> areas often<br />

have large vari<strong>at</strong>ions in building heights. Hall et al. (1996) noted the importance of<br />

height variability in inhibiting the skimming-flow regime. This suggests a fundamental<br />

difference between flows in an <strong>urban</strong> canopy and those in a typical veget<strong>at</strong>ive canopy<br />

(Finnigan 2000).<br />

Raupach et al. (1980) and Rotach (1995) have highlighted the existence of a roughness<br />

sublayer within the <strong>at</strong>mospheric boundary layer below the inertial sublayer. The<br />

roughness sublayer is thought of as a region in which the underlying buildings lead to a<br />

sp<strong>at</strong>ial horizontal inhomogeneity of the flow. The roughness sublayer extends to<br />

approxim<strong>at</strong>ely 1.5-2 times the average building height H (Britter and Hanna 2003). The<br />

mean velocity profile <strong>at</strong> neighbourood scale is, by implic<strong>at</strong>ion, a horizontally sp<strong>at</strong>ially<br />

averaged profile. The profile well above the <strong>urban</strong> canopy (1.5-2 H) is of a conventional<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

logarithmic form; instead, closer to the buildings, individual velocity profiles devi<strong>at</strong>e as<br />

they respond directly to the real surface th<strong>at</strong> produces the sp<strong>at</strong>ial inhomogeneity<br />

(Kastner-Klein et al. 2000a).<br />

At positions away from a roughness change and for constant height obstacles the<br />

maximum shear stress occurs <strong>at</strong> approxim<strong>at</strong>ely the height of the obstacles (Macdonald<br />

et al. 2000, Cheng & Castro 2002). Below this height the shear stress carried by the<br />

fluid decreases to zero as the buildings take up part of the stress through the drag forces<br />

on them. The shear stress approaches zero <strong>at</strong> the underlying surface for small λp or λf,<br />

although it approaches zero <strong>at</strong> elev<strong>at</strong>ion for large λp or λf. Above the obstacle height the<br />

shear stress decreases with height.<br />

A change of roughness (from small to large roughness) viewed <strong>at</strong> the neighbourhood<br />

scale appears as a high velocity flow impinging on an array of obstacles. This produces<br />

a large drag force on the most upstream obstacles (producing a large surface shear<br />

stress) and a divergence of the flow as it is turned vertically up and l<strong>at</strong>erally out of the<br />

array. Further downstream the velocity within the array decreases to a level in some<br />

quasi-equilibrium with th<strong>at</strong> above the <strong>urban</strong> canopy. This vertical deflection near the<br />

upper edge of the roughness change produces an elev<strong>at</strong>ed maximum shear stress quite<br />

distinct from th<strong>at</strong> discussed above. A change of roughness from large to small produces<br />

a decline in the elev<strong>at</strong>ion of the maximum shear stress.<br />

For varied-height obstacles the maximum shear stress should occur <strong>at</strong> approxim<strong>at</strong>ely the<br />

height of the highest obstacle, decreasing to zero shear stress in much the same manner<br />

as for constant-height obstacles. This st<strong>at</strong>ement relies on the dispersive stresses, those<br />

due to the inhomogeneity of the mean flow, being negligible, as demonstr<strong>at</strong>ed by Cheng<br />

& Castro (2002). The maximum shear stress should equ<strong>at</strong>e to the surface shear stress<br />

and determine the surface friction velocity u*. As a consequence the maximum shear<br />

stress occurs (well) above the mean height of the buildings.<br />

Some disagreement exists in the liter<strong>at</strong>ure over the form of the (sp<strong>at</strong>ially averaged)<br />

mean-velocity profile over an <strong>urban</strong> canopy or very rough surface. There is agreement<br />

th<strong>at</strong> above the surface roughness layer the velocity profile has a conventional<br />

logarithmic form based on u*, z0 and d (for the neutrally str<strong>at</strong>ified boundary layer).<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Below this level Raupach et al. (1980) showed clearly th<strong>at</strong> the velocity is increased<br />

above th<strong>at</strong> expected by extrapol<strong>at</strong>ion toward the surface of the logarithmic profile.<br />

However, other velocity profiles (Macdonald 2000) show the mean velocity to be<br />

decreased (below th<strong>at</strong> given by the extrapol<strong>at</strong>ed logarithmic form) in the surface<br />

roughness layer <strong>at</strong> positions above the mean building height and increased <strong>at</strong> positions<br />

below the mean building height. This apparent inconsistency has arisen because of the<br />

difficulty of specifying u*, z0, and d from experimentally determined velocity profiles.<br />

There is general agreement th<strong>at</strong> the wind speeds are more uniform with height below<br />

r<strong>at</strong>her than above the average building height, except for positions very close to the<br />

underlying surface where the velocity must decrease to zero. Cionco (1965) developed a<br />

model for the velocity profile within a veget<strong>at</strong>ive canopy of constant height; the model<br />

has been extended to the <strong>urban</strong> canopy:<br />

U<br />

U H<br />

⎡ ⎛<br />

= exp ⎢−<br />

a⎜1<br />

−<br />

⎣ ⎝<br />

z<br />

H<br />

⎞⎤<br />

⎟⎥<br />

⎠⎦<br />

where UH is the velocity <strong>at</strong> the mean building height, H. The profile requires<br />

specific<strong>at</strong>ion of an empirical constant a. Macdonald (2000) found rel<strong>at</strong>ionships between<br />

λf and a by means of labor<strong>at</strong>ory experiments. This approach is simple, but relies on<br />

knowledge of the wind speed <strong>at</strong> the building height (the height <strong>at</strong> which the velocity<br />

profile is changing most rapidly), which may not be easily defined (Britter and Hanna,<br />

2003).<br />

An altern<strong>at</strong>ive, even simpler approach is to define a sp<strong>at</strong>ially and temporally averaged<br />

characteristic velocity, UC, within the <strong>urban</strong> canopy. Bentham and Britter (2003)<br />

showed th<strong>at</strong> this can be rel<strong>at</strong>ed to u*, λf, and the average drag coefficient for the<br />

buildings Cdb with:<br />

U<br />

−1<br />

2<br />

C ⎛ Cdb<br />

⎞ −1<br />

2<br />

= ⎜ ⎟ λ<br />

f<br />

u *<br />

⎝<br />

2<br />

⎠<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Results from the liter<strong>at</strong>ure reviewed by Britter and Hanna (2003) suggest th<strong>at</strong> turbulence<br />

levels may be assumed to be approxim<strong>at</strong>ely uniform throughout the canopy, to scale on<br />

u* and to be less than th<strong>at</strong> above the canopy.<br />

In the far-field regime, as shown in 2.5.1, an increase in surface roughness produces a<br />

significant increase in turbulence levels, and these, in turns, cause a reduction in<br />

ground-level concentr<strong>at</strong>ions. It is less clear whether the same conclusion can be drawn<br />

for the intermedi<strong>at</strong>e and near-field regimes (Britter and Hanna, 2003). Labor<strong>at</strong>ory<br />

experiments (Davidson et al., 1995; Macdonald et al., 1998) showed th<strong>at</strong> a conventional<br />

Gaussian plume model provides an appropri<strong>at</strong>e structure for the problem: the increased<br />

turbulence levels within the <strong>urban</strong> canopy produce larger <strong>dispersion</strong> coefficients th<strong>at</strong><br />

tend to reduce concentr<strong>at</strong>ions, while the accompanying reduction in the advection<br />

velocity tends to increase them. The rel<strong>at</strong>ive magnitudes of these opposing effects<br />

determine whether the obstacles lead to increased or decreased concentr<strong>at</strong>ions as the<br />

roughness is increased.<br />

2.6.2 Experimental <strong>modelling</strong><br />

Observ<strong>at</strong>ions from field and labor<strong>at</strong>ory experiments have been used to develop an<br />

understanding of flow characteristics. In wind tunnels and w<strong>at</strong>er flumes, labor<strong>at</strong>ory<br />

experiments allow for detailed flow measurement, the use of idealized <strong>urban</strong> areas<br />

consisting of simple geometric shapes in ordered arrays, as well as the modeling of real<br />

<strong>urban</strong> areas. Field measurements are far less common, difficult and expensive to<br />

perform, and provide limited d<strong>at</strong>a. They are, however, essential in providing d<strong>at</strong>a to<br />

ensure th<strong>at</strong> the labor<strong>at</strong>ory modeling has a sound basis.<br />

Dispersion-field experiments from low-level sources in real cities are rare. The recent<br />

and planned <strong>dispersion</strong>-field studies referred to in Section 2.5.2 (for example, Urban<br />

2000 study, Urban Join 2003 and Dapple Project) provided d<strong>at</strong>a on the neighbourhood<br />

scale in particular, very useful for a better knowledge of the flow within and<br />

immedi<strong>at</strong>ely above the <strong>urban</strong> canopy and for the evalu<strong>at</strong>ion and development of<br />

m<strong>at</strong>hem<strong>at</strong>ical <strong>dispersion</strong> models.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Most of the experimental studies <strong>at</strong> the neighbourhood scale in wind tunnels has<br />

regarded flow and <strong>dispersion</strong> in regular arrays of building (for example, Davidson et al.,<br />

1996; Macdonald et al., 1998, 2000; Cheng and Castro, 2002). The study of flow and<br />

<strong>dispersion</strong> in building arrays is briefly reviewed in Pl<strong>at</strong>e (1999). Experiments in models<br />

of real <strong>urban</strong> areas are less common; in the last years several experiments have<br />

<strong>at</strong>tempted to overcome the limit<strong>at</strong>ion of the past experiments; we can remember, for<br />

example, the labor<strong>at</strong>ory measurements with a model of a 400 m diameter section of<br />

central Nantes, France, (Kastner-Klein and Rotach 2001) and the wind tunnel<br />

experiments with an <strong>urban</strong> area with a diameter of about 1km of the central Basel,<br />

Switzerland (Bubble Project).<br />

2.6.3 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong><br />

Model development <strong>at</strong> the neighbourhood scale has proceeded along several diverse<br />

lines. Jerram et al. (1994) developed a linearized perturb<strong>at</strong>ion model with a force<br />

distribution representing the drag on the buildings. Theurer et al. (1996) described a<br />

semi-empirical or hybrid Gaussian Plume model, SAMPU (figure 2-12), which<br />

combines the advantages of the basic plume model with wind tunnel <strong>modelling</strong> to<br />

account for the details of the <strong>urban</strong> topology near a source; this work allowed for the<br />

plume to be influenced by the <strong>urban</strong> layout in the near-field, where the <strong>dispersion</strong><br />

depends strongly on the flow channeling. Hall et al. (1996) used extensive labor<strong>at</strong>ory<br />

experiments in order to develop a simple <strong>urban</strong> <strong>dispersion</strong> model (Hall et al. 1997)<br />

based principally on d<strong>at</strong>a correl<strong>at</strong>ions. Similarly the arguments in Hanna & Britter<br />

(2002) have been recast into another simple <strong>urban</strong> <strong>dispersion</strong> model.<br />

Since the way th<strong>at</strong> the main street canyons devi<strong>at</strong>e the wind direction leads to the<br />

dominant process for <strong>dispersion</strong> in closely-packed city centres, in th<strong>at</strong> case, as Soulhac<br />

(2000) demonstr<strong>at</strong>ed, fully comput<strong>at</strong>ional models can be used for <strong>dispersion</strong> from<br />

sources in <strong>urban</strong> areas by computing the <strong>dispersion</strong> along the major streets and in the<br />

open flow above the buildings. This would be similar to the widely-adopted method of<br />

<strong>modelling</strong> traffic-gener<strong>at</strong>ed <strong>pollution</strong> in <strong>urban</strong> areas by calcul<strong>at</strong>ing the concentr<strong>at</strong>ions in<br />

a few key street canyons with the rest of the <strong>urban</strong> area being regarded as a rough<br />

surface (e.g. Owen et al., 1999). Using this approach Soulhac (2000) developed the<br />

model SIRANE. The model incorpor<strong>at</strong>e a street canyon model for the street scale (see<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

section 2.7). In this model, the streets in a neighbourhood are modelled as a network of<br />

connected street segments (see figure 2-13a). The flow within each street is driven by<br />

the component of the external wind parallel to the street, and the pollutant is assumed to<br />

be uniformly mixed within the street. The model contains two main mechanisms for<br />

transport in and out of a street segment (see figure 2-13b): diffusion across the interface<br />

between the <strong>air</strong> in the street and the overlying <strong>air</strong> and exchanges with other streets, <strong>at</strong><br />

street intersections, due to the advection along the street (see figure 2-13c). The<br />

<strong>dispersion</strong> of pollutants advected or diffused into the overlying <strong>air</strong> is taken into account<br />

using a Gaussian plume model (see figure 2-13d), with the standard devi<strong>at</strong>ions σy and<br />

σz parameterised by similarity theory. The model has been applied, for example, to a<br />

district of Lyon (Soulhac, 2000; Soulhac et al., 2001).<br />

An interesting approach consists in combining Eulerian models (or simpler techniques)<br />

for the flow field with a Lagrangian particle model for the <strong>dispersion</strong> simul<strong>at</strong>ion. For<br />

example, Kaplan & Dinar (1996) derived a mass-consistent wind model accounting for<br />

flow recircul<strong>at</strong>ion behind buildings and combined this with a Lagrangian particle model<br />

for <strong>dispersion</strong>. Other models of this type are: the VADIS model (Borrego et al., 2003),<br />

or the MSS suite (Moussafir et al., 2004)<br />

Figure 2-12 An illustr<strong>at</strong>ion of the model SAMPU (Theurer et al., 1996)<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Figure 2-13 The <strong>different</strong> components of SIRANE. (a) Modelling a district by a<br />

network of streets. (b) Box model for each street, with corresponding flux balance. (c)<br />

Fluxes <strong>at</strong> a street intersection. (d) Modified Gaussian plume for roof-level transport.<br />

CFD codes, especially those applying the standard k-ε model, have been widely applied<br />

for predicting neighbourhood scale flow and <strong>dispersion</strong> p<strong>at</strong>terns. Lists of such models<br />

can be found, for example, in the EEA Model Document<strong>at</strong>ion System website (EEA,<br />

2005) or in the SATURN page maintained by the University of Hamburg (Schlunzen,<br />

2002; Moussiopoulos et al., 2003). Most of them are obstacle-resolving (for example,<br />

MIMO, or MITRAS) but there are also obstacle-accomod<strong>at</strong>ing models, such as<br />

SUBMESO, where the effect of obstacles may be included implicitly by using specific<br />

influence functions. Also comput<strong>at</strong>ional techniques of much gre<strong>at</strong>er complexity like<br />

large eddy simul<strong>at</strong>ion have been used (Boris 2002, Pullen et al. 2005). It is only now<br />

th<strong>at</strong> d<strong>at</strong>a th<strong>at</strong> allow formal scientific evalu<strong>at</strong>ion of such models are becoming available.<br />

At present there has been only limited effort (e.g., Soulhac 2000) to use advanced<br />

comput<strong>at</strong>ional techniques to develop a general understanding of the flow and to give<br />

guidance as to how best to view and parameterize the flow as distinct from a direct<br />

applic<strong>at</strong>ion to specific scenarios.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

2.7 Street scale <strong>modelling</strong><br />

The street (canyon) scale is particularly studied in the context of <strong>urban</strong> <strong>air</strong> quality where<br />

the dominant sources of <strong>pollution</strong>, vehicle emissions, are in close proximity to the<br />

pollutant receptors of concern, people (and the regul<strong>at</strong>ory pollutant-monitoring<br />

st<strong>at</strong>ions). In cities both the source and the receptor are within a very confined geometry,<br />

the street canyon, and this confined geometry exhibits a sheltering effect from the<br />

diluting influence of the wind. Flow and <strong>dispersion</strong> near street intersections are also of<br />

interest as it is the acceler<strong>at</strong>ion of vehicles away from traffic lights and/or pedestrian<br />

crossings th<strong>at</strong> gives rise to large pollutant emission r<strong>at</strong>es and consequently poor <strong>urban</strong><br />

<strong>air</strong> quality. The loc<strong>at</strong>ion of building ventil<strong>at</strong>ion intakes is sensitive to the anticip<strong>at</strong>ed<br />

distribution of pollutants on the sp<strong>at</strong>ial scale of the buildings or the street (Britter and<br />

Hanna 2003).<br />

Street canyon ideally refers to a rel<strong>at</strong>ively narrow street with buildings lined up<br />

continuously along both sides (Nicholson 1975). The dimensions of a street canyon are<br />

expressed by its ‘aspect r<strong>at</strong>io’, i.e., the r<strong>at</strong>io of the height of the building (H) to width of<br />

the street (W). The canyon is uniform, if it has an aspect r<strong>at</strong>io of approxim<strong>at</strong>ely equal to<br />

1 with no major openings on the walls. A shallow canyon has an aspect r<strong>at</strong>io below 0.5;<br />

and the aspect r<strong>at</strong>io of 2, represents a deep canyon. The length of canyon (L) expresses<br />

the road distance between two major intersections subdividing the street canyon into<br />

short (L=H/3), medium (L=H/5) and long (L=H/7). If buildings, flanking the canyon are<br />

of equal heights, the canyon is ‘symmetric’ and vice-versa (Vardoulakis et al., 2003).<br />

Asymmetric canyons with high-rise buildings in downwind direction are termed as step<br />

up canyons and reversibly step down canyons. The upwind side of the canyon is called<br />

leeward and downwind, is windward when the wind flow is perpendicular to the street<br />

canyon (figure 2-14).<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Figure 2-14 Characteristics of street canyon (Ahmad et al. 2005)<br />

Intersections are a three three-dimensional problem, as opposite to street canyons. Due<br />

to the the complex situ<strong>at</strong>ion and the infinite possible geometries, <strong>modelling</strong> studies <strong>at</strong><br />

street intersections are very difficult. Intersections in real cities are more common th<strong>at</strong><br />

regular street canyons, thus studies focused on this problem can be very useful for<br />

model development.<br />

2.7.1 Flow and <strong>dispersion</strong> phenomena<br />

The clim<strong>at</strong>e of street canyons is primarily controller by the micro-meteorological effects<br />

of <strong>urban</strong> geometry r<strong>at</strong>her than the mesoscale forces controlling the clim<strong>at</strong>e of the<br />

boundary layer (Hunter et al., 1992). A clear distinction should be made between the<br />

synoptic above roof-top wind conditions and the local wind flow within the cavity of the<br />

canyon (figure 2-15). Depending on the synoptic wind (or free-stream velocity), three<br />

main <strong>dispersion</strong> conditions can be identified: (1) low wind conditions, for synoptic<br />

winds lower than 1.5 m/s; (2) perpendicular or near-perpendicular flow for synoptic<br />

winds over 1.5 m/s blowing <strong>at</strong> an angle of more than 30° than to the canyon axes, and<br />

(3) parallel or near-parallel flow for winds over 1.5 m/s blowing from all other<br />

directions. In the case of perpendicular flow, the up-wind side of the canyon is usually<br />

called leeward, and the downwind windward.<br />

The emphasis has often been on the two-dimensional n<strong>at</strong>ure of the flow, studying<br />

vertical cross-sections <strong>at</strong> mid-canyon level. When the above roof flow is perpendicular<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

to the canyon and the wind speed is over 1.5–2 m/s, flow may be described in terms of<br />

the descriptive terms isol<strong>at</strong>ed, wake interference, and skimming, depending on the<br />

dimensions of the street (see section 2.5.1). For wide canyons (H/W


Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

increasing street length (Theurer, 1999). The strength of the wind vortices inside the<br />

canyon mainly depends on wind speed <strong>at</strong> roof-top level. However, the local wind flow<br />

is also affected by the mechanical turbulence induced by moving vehicles (Eskridge and<br />

Rao, 1986) or cre<strong>at</strong>ed near <strong>urban</strong> roughness elements within the street (e.g. trees, kiosks,<br />

balconies, slanted building roofs, etc.) (Hoydysh and Dabberdt, 1994; Theurer, 1999).<br />

Furthermore, the shape and strength of the wind vortices might also be affected by the<br />

<strong>at</strong>mospheric stability and other thermal effects induced by the <strong>different</strong>ial he<strong>at</strong>ing of the<br />

walls and/or the bottom of the canyon (Sini et al., 1996; Kim and Baik, 2001). In<br />

rel<strong>at</strong>ively deep canyons (H/W>1.3) the main wind vortex is usually displaced towards<br />

the upper part of the cavity, with almost stagnant <strong>air</strong> below (DePaul and Sheih, 1986).<br />

As the aspect r<strong>at</strong>io increases (H/W≈2) a weak counter-rot<strong>at</strong>ing secondary vortex maybe<br />

observed <strong>at</strong> street level (Pavageau et al., 1996). For even higher aspect r<strong>at</strong>ios (H/W≈3) a<br />

third weak vortex might be also formed (Jeong and Andrews, 2002). In most cases,<br />

small week vortices occupy the bottom side corners of the canyon.<br />

The <strong>dispersion</strong> of gaseous pollutants in a street canyon depends generally on the r<strong>at</strong>e <strong>at</strong><br />

which the street exchanges <strong>air</strong> vertically with the above roof-level <strong>at</strong>mosphere and<br />

l<strong>at</strong>erally with connecting streets (Riain et al., 1998). A significant exchange takes place<br />

between the intersecting streets. The wind is somewh<strong>at</strong> normal to the cross street and<br />

this modifies the basic street canyon vortex, changing it into a helical vortex (Figure 2-<br />

16). Hoydysh and Dabberdt (1988) observe the form<strong>at</strong>ion of intermittent vortices <strong>at</strong> the<br />

corners of the building. Skimming flow, a fe<strong>at</strong>ure of regular canyons, provides minimal<br />

ventil<strong>at</strong>ion of the canyon and is rel<strong>at</strong>ively ineffective in removing pollutants (Hunter et<br />

al., 1992). Field measurements (DePaul and Sheih, 1985; Qin and Kot, 1993) show<br />

increased concentr<strong>at</strong>ions of traffic-rel<strong>at</strong>ed pollutants on the leeward side of the canyon,<br />

and decreasing concentr<strong>at</strong>ions along with height above the ground on both sides of the<br />

street. The increased leeward concentr<strong>at</strong>ions are due to the accumul<strong>at</strong>ion of pollutants<br />

locally advected by the large wind vortex th<strong>at</strong> covers most of the canyon. Minor<br />

<strong>pollution</strong> hotspots might be also cre<strong>at</strong>ed in small cavities where additional recircul<strong>at</strong>ion<br />

phenomena can take place.<br />

Street-level cross-road gradients observed in wind tunnel experiments (Hoydysh and<br />

Dabberdt, 1988) for perpendicular wind conditions indic<strong>at</strong>e th<strong>at</strong> concentr<strong>at</strong>ions are<br />

generally a factor of two gre<strong>at</strong>er for the leeward than for the windward side, except for<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

stepdown canyons where windward concentr<strong>at</strong>ions are slightly gre<strong>at</strong>er than leeward.<br />

Concentr<strong>at</strong>ions are generally lower in the step-up canyons rel<strong>at</strong>ive to the even and stepdown<br />

notches.<br />

Figure 2-16 Flow field <strong>at</strong> a street intersection (Robins and Macdonald, 2001)<br />

Flow visualiz<strong>at</strong>ion experiments have shown th<strong>at</strong> the strength of the canyon vortices<br />

varies. As a result, pollutants are periodically flushed out of the canyon (Pavageau et al.,<br />

1996). In rel<strong>at</strong>ively long canyons without connecting streets, field measurements have<br />

shown th<strong>at</strong> maximum street-level concentr<strong>at</strong>ions are more likely to occur when the<br />

synoptic wind is parallel to the street axis (Vardoulakis et al., 2002). In th<strong>at</strong> case, the<br />

accumul<strong>at</strong>ion of emissions along the line source outweighs the ventil<strong>at</strong>ion induced by<br />

the parallel winds (Soulhac, 2000; Dabberdt and Hoydysh, 1991).<br />

Low synoptic winds cre<strong>at</strong>e a well-known meteorological situ<strong>at</strong>ion th<strong>at</strong> favours <strong>air</strong><br />

<strong>pollution</strong> built-up in <strong>urban</strong> areas (Qin and Kot, 1993; Vign<strong>at</strong>i et al., 1996; Jones et al.,<br />

2000). There is evidence th<strong>at</strong> when the synoptic wind speed is below about 1.5 m/s the<br />

wind vortex within the canyon tends to disappear and the <strong>air</strong> stagn<strong>at</strong>es in the street<br />

(DePaul and Sheih, 1986). In th<strong>at</strong> case, the mechanical turbulence induced by moving<br />

vehicle as well as the <strong>at</strong>mospheric stability conditions might play a significant role in<br />

the <strong>dispersion</strong> of traffic gener<strong>at</strong>ed pollutants.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Fine and especially ultrafine particles are expected to disperse in the <strong>air</strong> like gases. The<br />

larger-sized particles, instead, are gre<strong>at</strong>ly affected by gravity and thus have a shorter<br />

residence time in the <strong>air</strong> (Chan and Kwok, 2000).<br />

Due to the very short distances between sources and receptors, only very fast chemical<br />

reactions have a significant influence on the measured concentr<strong>at</strong>ions within street<br />

canyons (Berkowicz et al., 1997). For this reason, most traffic-rel<strong>at</strong>ed pollutants (e.g.<br />

CO and hydrocarbons) can be considered as practically inert species within these<br />

distances. This is not the case either for NO2; which dissoci<strong>at</strong>es extremely fast in the<br />

presence of light, or for NO, which also reacts very fast with O3 (Palmgren et al., 1996).<br />

The time <strong>scales</strong> of these chemical reactions are of the order of tens of seconds, thus<br />

comparable with residence times of the pollutants in a street canyon.<br />

From a popul<strong>at</strong>ion exposure point of view, <strong>air</strong> quality in street canyons is of a major<br />

importance, since the highest <strong>pollution</strong> levels and the larger targets of impact are often<br />

concentr<strong>at</strong>ed in this kind of streets (Hertel et al., 2001). The so-called canyon effect (i.e.<br />

the reduced n<strong>at</strong>ural ventil<strong>at</strong>ion in <strong>urban</strong> streets) results in gre<strong>at</strong>er health impacts (e.g.<br />

indic<strong>at</strong>ed by an increased number of respir<strong>at</strong>ory hospital admissions) and damage costs<br />

for the exposed popul<strong>at</strong>ion (Spadaro and Rabl, 2001). Personal exposure can be<br />

calcul<strong>at</strong>ed as the product of the pollutant concentr<strong>at</strong>ion and time spent in a specific<br />

microenvironment, which is defined as a confined space (e.g. bedroom, office, car,<br />

parking, pavement, etc.) where pollutant concentr<strong>at</strong>ions are assumed to be uniform<br />

(Colls and Micallef, 1997). The total personal exposure will be then the sum of all such<br />

products. However, the assumption of sp<strong>at</strong>ial uniformity of <strong>air</strong> <strong>pollution</strong> might be<br />

erroneous for certain microenvironments like street canyons or <strong>urban</strong> intersections,<br />

where strong sp<strong>at</strong>ial concentr<strong>at</strong>ion gradients are often observed. In these cases, exposure<br />

calcul<strong>at</strong>ions should be refined by subdividing microenvironments into submicroenvironments,<br />

taking into account <strong>pollution</strong> hot spots and refined human bre<strong>at</strong>hing<br />

zones (e.g. for residents, pedestrians, cyclists, drivers, etc.). In order to predict or/and<br />

estim<strong>at</strong>e the maximum expected dosage and the exposure time within which the dosage<br />

exceeds certain health limits, the knowledge of the behaviour of concentr<strong>at</strong>ion<br />

fluctu<strong>at</strong>ions, not only the mean, is needed. For hazard associ<strong>at</strong>ed with short-term<br />

concentr<strong>at</strong>ion levels the concentr<strong>at</strong>ions fluctu<strong>at</strong>ions can be very significant (Efthimiou<br />

et al., 2008)<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Most commonly, street canyon studies have combined both m<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> and<br />

experimental work. Recently, the European research network TRAPOS (Optimis<strong>at</strong>ion<br />

of Modelling Methods for Traffic Pollution in Streets) gave new insights in a number of<br />

street canyon rel<strong>at</strong>ed issues: (a) the influence of moving vehicles on pollutant <strong>dispersion</strong><br />

and turbulence in <strong>urban</strong> streets (Kastner-Klein et al., 2000, 2001; Vachon et al., 2001);<br />

(b) the thermal effects on flow and <strong>dispersion</strong> within street canyons especially under<br />

low wind conditions (Kovar-Panskus et al., 2001a; Louka et al., 2001); (c) the<br />

sensitivity of flow and turbulence characteristics to the geometry of the street and its<br />

surroundings (Kovar-Panskus et al., 2001b; Kastner-Klein and Rotach, 2001; Leitl et al.,<br />

2001; Chauvet et al., 2001); (d) the <strong>dispersion</strong> and transform<strong>at</strong>ion of traffic-rel<strong>at</strong>ed<br />

particles (Le Bihan et al., 2001; Wahlin et al., 2001). TRAPOS included field and wind<br />

tunnel measurements, as well as m<strong>at</strong>hem<strong>at</strong>ical simul<strong>at</strong>ions carried out with advanced<br />

numerical and a simpler parametric model. A significant part of the work within the<br />

network was devoted to the inter-comparison and evalu<strong>at</strong>ion of these models (Louka et<br />

al., 2000; Sahm et al., 2001; Ketzel et al., 2001). In the following sections,<br />

represent<strong>at</strong>ive studies covering several aspects of street canyon research are briefly<br />

discussed.<br />

2.7.2 Experimental <strong>modelling</strong><br />

Several experimental field studies aiming <strong>at</strong> establishing pollutant <strong>dispersion</strong> and<br />

transform<strong>at</strong>ion p<strong>at</strong>terns within street canyons have been carried out in the past.<br />

Depending on their objectives, <strong>different</strong> <strong>modelling</strong> and monitoring techniques have<br />

been adopted. Unfortun<strong>at</strong>ely, results from field studies are often not very conclusive<br />

(Berkowicz et al.,1997; Louka et al., 2000). The main reason for this is th<strong>at</strong> only few<br />

measurement points are usually available and even those can be significantly influenced<br />

by local structures.<br />

DePaul and Sheih (1985, 1986) carried out a tracer gas (SF6) experiment in an <strong>urban</strong><br />

street canyon in Chicago (USA) in order to obtain measurements of pollutant retention<br />

times and resulting concentr<strong>at</strong>ions within the canyon. The mean wind velocities were<br />

determined by analysing trajectories of <strong>air</strong> balloons th<strong>at</strong> were released in the street.<br />

Nakamura and Oke (1988) studied the clim<strong>at</strong>e of <strong>urban</strong> canyons using field observ<strong>at</strong>ions<br />

of wind and temper<strong>at</strong>ure from a street canyon in Kyoto (Japan). These observ<strong>at</strong>ions<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

were used to derive simple algorithms rel<strong>at</strong>ing the above roof-level to the within canyon<br />

meteorological conditions. Vachon et al. (2000) reported results (i.e. concentr<strong>at</strong>ion,<br />

temper<strong>at</strong>ure and wind fields) from a full-scale experiment carried out in a street canyon<br />

(Rue de Strasbourg) in Nantes, France. This was the first campaign of the URBCAP<br />

project, which has the aim of assessing pollutant transform<strong>at</strong>ion processes within the<br />

<strong>urban</strong> canopy and valid<strong>at</strong>ing small-scale <strong>dispersion</strong> models. Within the frameworks of<br />

the LIFE RESOLUTION project (Wright, 2001), benzene and NO2 measurements were<br />

taken in four European cities (Dublin, Madrid, Paris and Rome) in order to assess<br />

<strong>pollution</strong> levels with reference to established <strong>air</strong> quality standards, optimize the design<br />

of monitoring networks, and provide experimental d<strong>at</strong>a to support the valid<strong>at</strong>ion of<br />

<strong>urban</strong> <strong>dispersion</strong> models. As described in the previous sections, recent field experiments<br />

have been performed in order to provide new d<strong>at</strong>a sets of high quality (SATURN<br />

project, and TRAPOS project)<br />

The most extensive investig<strong>at</strong>ions of flow and <strong>dispersion</strong> regimes in street canyons are<br />

performed in wind tunnels (Berkowicz et al., 1997). Many studies (see e.g. Kastner-<br />

Klein et al. 1997, Sch<strong>at</strong>zmann et al. 1997) showed th<strong>at</strong> wind-tunnel d<strong>at</strong>a sets of flow<br />

and <strong>dispersion</strong> in the near field of buildings are well suited for verific<strong>at</strong>ion of numerical<br />

model results. Major efforts of the scientific research focused on an extension of a<br />

wind-tunnel d<strong>at</strong>abase for evalu<strong>at</strong>ion purposes of numerical models and in designing the<br />

wind-tunnel studies for the investig<strong>at</strong>ion of physical mechanisms th<strong>at</strong> are only poorly<br />

understood so far.<br />

Based on available wind tunnel d<strong>at</strong>a, especially the works of Hussain and Lee (1980),<br />

Hosker (1985), and Oke (1988) provided a system<strong>at</strong>ic classific<strong>at</strong>ion of flow regimes in<br />

<strong>urban</strong> street canyons. One of the most system<strong>at</strong>ic investig<strong>at</strong>ions of <strong>dispersion</strong><br />

characteristics in a wind tunnel model of <strong>urban</strong> streets was performed by Hoydysh and<br />

Dabberdt (1988), and Dabberdt and Hoydysh (1991), using tracer gas and flow<br />

visualiz<strong>at</strong>ion techniques. Extensive reviews of wind tunnel experiments in street<br />

canyons can be found in Scaperdas (2000), Robins and Macdonald (2001), Vardoulakis<br />

et al. (2003) and Ahmad et al. (2005).<br />

In the past, less <strong>at</strong>tention was given to: street intersections, source receptor rel<strong>at</strong>ionships<br />

and concentr<strong>at</strong>ion fluctu<strong>at</strong>ions.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

The first system<strong>at</strong>ic wind tunnel study on <strong>urban</strong> intersection was performed by Hoydysh<br />

and Dabberdt (1994). In their study the concentr<strong>at</strong>ion field for various wind directions<br />

was measured using quantit<strong>at</strong>ive smoke visualiz<strong>at</strong>ion and tracer <strong>dispersion</strong> techniques<br />

and concerning a regular <strong>urban</strong> network of streets, with uniform buildings. More<br />

recently the topic has been investig<strong>at</strong>ed in considerable detail, as it turns out th<strong>at</strong> the<br />

transfer of pollutants from one street to another can be substantial and, <strong>at</strong> the same time,<br />

very sensitive to details of the geometry (Scaperdas et al. 2000).<br />

Many <strong>urban</strong> <strong>dispersion</strong> studies employed line sources to represent traffic emissions (for<br />

example Meroney et al., 1996; Kastner-Klein and Pl<strong>at</strong>e 1999), but this is not an<br />

effective aid to understanding because it hides so much of the detail. Robins et al.<br />

(2002) show how point sources can be used to investig<strong>at</strong>e source-receptor rel<strong>at</strong>ionships,<br />

which prove to be particularly complex <strong>at</strong> intersections and in terms of concentr<strong>at</strong>ion<br />

fluctu<strong>at</strong>ions.<br />

Although its importance in the process of popul<strong>at</strong>ion exposure evalu<strong>at</strong>ion, the <strong>dispersion</strong><br />

phenomena <strong>at</strong> the street scale in terms of maximum expected concentr<strong>at</strong>ions are not<br />

often analyzed; only few studies consider this problem. The most important study in this<br />

field is the one of Pavageau and Sch<strong>at</strong>zmann (1999), th<strong>at</strong> investig<strong>at</strong>ed the concentr<strong>at</strong>ion<br />

fluctu<strong>at</strong>ions in a <strong>urban</strong> street canyon.<br />

Physical <strong>modelling</strong> has been performed mostly within idealized shape models. As st<strong>at</strong>ed<br />

by Robins and Macdonald (2001) there is a need for tests on less ‘regular’ geometries in<br />

order to produce more reliable d<strong>at</strong>a sets. An <strong>at</strong>tempt of studying actual conditions<br />

occurring in street intersection has been performed in the DAPPLE project (Arnold et<br />

al., 2004). The focus is on an <strong>urban</strong> intersection in central London, and both field<br />

experiments and wind tunnel tests are planned. The wind tunnel experiments carried out<br />

in this thesis are in the framework of this project and try to extend the knowledge of<br />

<strong>dispersion</strong> phenomena <strong>at</strong> the street scale taking into account some of the main critic<br />

aspects: street intersections, traffic emissions and concentr<strong>at</strong>ion fluctu<strong>at</strong>ions.<br />

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2.7.3 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong><br />

There is a plethora of <strong>dispersion</strong> models specially developed for or simply used in street<br />

canyon applic<strong>at</strong>ions. They can be useful in <strong>air</strong> quality and traffic management, <strong>urban</strong><br />

planning, interpret<strong>at</strong>ion of monitoring d<strong>at</strong>a, <strong>pollution</strong> forecasting, popul<strong>at</strong>ion exposure<br />

studies, etc. Although there are no clear-cut distinctions between <strong>different</strong> c<strong>at</strong>egories,<br />

models might be classified into groups according to their physical or m<strong>at</strong>hem<strong>at</strong>ical<br />

principles (e.g. reduced-scale, box, Gaussian, CFD) and their level of complexity (e.g.<br />

screening, semi-empirical, numerical). Some of these (often overlapping) c<strong>at</strong>egories and<br />

corresponding models are presented in Table 2-6.<br />

Table 2-6 Classific<strong>at</strong>ion of commonly used <strong>dispersion</strong> models <strong>at</strong> the street scale<br />

(Vardoulakis et al., 2003)<br />

Gaussian models are not directly applicable to small-scale <strong>dispersion</strong> within the <strong>urban</strong><br />

canopy, since they tre<strong>at</strong> buildings and other obstacles only via a surface roughness<br />

parameteriz<strong>at</strong>ion (Scaperdas, 2000). Nevertheless, in some cases, they include<br />

specialized modules for street canyons. This is the case of ADMS-Urban (Owen et al.,<br />

1999), a second gener<strong>at</strong>ion <strong>urban</strong>-scale <strong>dispersion</strong> model th<strong>at</strong> includes a street canyon<br />

module nested within the core Gaussian code. Another widely used Gaussian model is<br />

CALINE4 (Benson, 1989), recommended by the U.S.EPA for assessing the impact of<br />

vehicle traffic on roadside <strong>air</strong> quality, and mainly applied for highway development and<br />

management (Jones et al., 2000). The model uses Gaussian plume theory to simul<strong>at</strong>e the<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

<strong>dispersion</strong> of pollutants emitted from a line source, but is also able to handle street<br />

canyons. The canyon algorithm devised by Turner (1970) computes the effect of single<br />

or multiple horizontal reflections of the plume on the walls of the canyon.<br />

The simplest of the street canyon models is probably the box model, which is an<br />

expression of conserv<strong>at</strong>ion of pollutant flux. Johnson et al. (1973) used a single box<br />

model, together with some simplified assumptions concerning initial <strong>dispersion</strong> and car<br />

induced turbulence, to derive a street canyon sub-model usually called STREET or SRI<br />

(i.e. Stanford Research Institute). It is based on the assumption th<strong>at</strong> concentr<strong>at</strong>ions of<br />

the pollutant occurring on the roadside consist of two components, the <strong>urban</strong><br />

background concentr<strong>at</strong>ion and the concentr<strong>at</strong>ion component due to vehicle emissions<br />

gener<strong>at</strong>ed within the specific street. Then, it calcul<strong>at</strong>es pollutant concentr<strong>at</strong>ions on both<br />

sides of the street, taking into account the height and distance of the simul<strong>at</strong>ed receptor<br />

from the kerb. An innov<strong>at</strong>ive approach was introduced by Yamartino and Wiegand<br />

(1986) in their Canyon Plume-Box Model (CPBM). It combines a Gaussian plume<br />

model for the direct impact of pollutants emitted in the street, with a box model th<strong>at</strong><br />

accounts for the additional impact of pollutants trapped within the wind vortex formed<br />

inside the canyon. A similar approach is used by the widely used street canyon models<br />

OSPM (Berkowicz et al., 1997) and AEOLIUS (Manning et al., 2000), and the street<br />

canyon module of ADMS-Urban.<br />

None of the cited <strong>urban</strong> <strong>dispersion</strong> models are applicable to near-field <strong>dispersion</strong><br />

<strong>modelling</strong> <strong>at</strong> <strong>urban</strong> intersections, and the development of a specialised intersection<br />

<strong>dispersion</strong> model has received only very limited <strong>at</strong>tention; intersections of canyons are a<br />

singularity th<strong>at</strong> the <strong>urban</strong> canyon model cannot deal with. Yamartino and Wiegand<br />

(1986) briefly considered a simple methodology for including the effect of street canyon<br />

intersections, as part of the development of the CPBM model; the intersection was<br />

considered in terms of a ‘well mixed reactor’ th<strong>at</strong> is fed polluted <strong>air</strong> by one or more<br />

street canyons, and drained of pollutants by other neighbouring street canyon.<br />

Unfortun<strong>at</strong>ely they did not have experimental d<strong>at</strong>a to evalu<strong>at</strong>e their approach. Recently,<br />

with the increasing availability of experimental d<strong>at</strong>a, some <strong>at</strong>tempts of including<br />

‘intersection modules’ in street canyon models have been made. The already described<br />

SIRANE (see section 2.7.3) is one of these.<br />

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In recent years significant progress in comput<strong>at</strong>ional fluid dynamics (CFD) and widely<br />

available computer power stimul<strong>at</strong>ed the development of numerous <strong>dispersion</strong> models<br />

th<strong>at</strong> have delivered promising results for <strong>urban</strong> areas. The commercially available<br />

general-purpose CFD codes PHOENICS, FLUENT, STAR-CD, CFX-TASC- flow and<br />

Fluidyn-PANACHE have been used in a number of street canyon applic<strong>at</strong>ions. Other<br />

numerical models like MERCURE (Carissimo et al., 1995), CHENSI (Levi Alvares and<br />

Sini, 1992) and MISKAM (Eichhorn, 1995) were specially designed to simul<strong>at</strong>e<br />

pollutant <strong>dispersion</strong> <strong>at</strong> local scale. MISKAM was used to cre<strong>at</strong>e a d<strong>at</strong>abase of numerical<br />

three-dimensional simul<strong>at</strong>ions th<strong>at</strong> was integr<strong>at</strong>ed in a screening model called STREET.<br />

Furthermore, the street canyon module PROKAS-B, which forms part of the Gaussian<br />

<strong>urban</strong>-scale model PROKAS-V, was also based on dimensionless concentr<strong>at</strong>ions<br />

calcul<strong>at</strong>ed using a version of MISKAM. The microscale models MIMO and MITRAS<br />

were also specially designed for street canyon applic<strong>at</strong>ions and nested within the<br />

mesoscale MEMO and METRAS, respectively (Ehrhard et al., 2000).<br />

In the last years CFD applic<strong>at</strong>ions were also used as an auxiliary tool in understanding<br />

the near-field <strong>dispersion</strong> effects of buildings in correspondence of <strong>urban</strong> intersections<br />

and in terms of concentr<strong>at</strong>ion fluctu<strong>at</strong>ions; some examples of <strong>urban</strong> intersections and<br />

concentr<strong>at</strong>ion fluctu<strong>at</strong>ions CFD applic<strong>at</strong>ions are respectively the studies by Scaperdas<br />

(2000) and the study by Andronopoulous et al. (2001).<br />

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2.8 Multi-scale <strong>modelling</strong><br />

Urban <strong>air</strong> <strong>pollution</strong> phenomena encompass a wide range of sp<strong>at</strong>ial and temporal <strong>scales</strong>:<br />

from a few meters (street canyon <strong>pollution</strong>) to hundreds of kilometers (secondary<br />

pollutant form<strong>at</strong>ion in city plumes). Mesoscale wind circul<strong>at</strong>ions associ<strong>at</strong>ed with<br />

horizontal temper<strong>at</strong>ure gradients, e.g. mountain-valley wind systems and sea/land<br />

breezes, particularly affect <strong>air</strong> quality in cities. In addition, <strong>at</strong>mospheric circul<strong>at</strong>ions<br />

cre<strong>at</strong>ed by the city itself, notably the so-called <strong>urban</strong> he<strong>at</strong> island, directly influence the<br />

<strong>dispersion</strong> of pollutants. The local (neighborood and street) concentr<strong>at</strong>ion levels are also<br />

in many cases influenced by regional scale processes such as the <strong>at</strong>mospheric transport<br />

of pollutants emitted in surrounding cities and industrialized areas.<br />

The combined local scale, city and regional scale effects on <strong>urban</strong> <strong>air</strong> quality can be<br />

investig<strong>at</strong>ed with multi-scale model cascades. Several methods for coupling individual<br />

models were proposed in the last year. They have often very simple coupling interfaces<br />

between the various <strong>scales</strong>; typical implement<strong>at</strong>ions of such systems are based on a oneway<br />

coupling (usually top-down), where the city (or regional) scale model provide<br />

initial and boundary conditions for each off-line applic<strong>at</strong>ion of the microscale (or city<br />

scale) models. Only few <strong>at</strong>tempts of two-coupling models exist (for example Tsegas et<br />

al. 2008)<br />

As reported in section 2.4.7, Soulhac et al. (2003) found two possible approaches for<br />

constructing multi-scale <strong>modelling</strong> systems based: the first one relies on the use of a<br />

single three-dimensional Eulerian model, nested <strong>at</strong> <strong>different</strong> <strong>scales</strong>; the second one is<br />

based on the use of <strong>different</strong> types of models for <strong>different</strong> <strong>scales</strong>, with each model<br />

chosen to represent the dominant physical process <strong>at</strong> th<strong>at</strong> particular scale.<br />

Examples of multi-scale models have already been presented in the previous sections.<br />

Models such as ADMS-Urban (city to street <strong>scales</strong>) and SIRANE (neighbourhood to<br />

street scale) are, in fact, multiscale models, where <strong>different</strong> <strong>scales</strong> are tre<strong>at</strong>ed by<br />

<strong>different</strong> models (modules).<br />

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An <strong>at</strong>tempt of building a multiscale <strong>modelling</strong> system using the first approach cited by<br />

Soulhac et al. (2003) is the Community Multiscale Air Quality (CMAQ) model,<br />

developed by the U.S.EPA within the Models-3 system framework (Ching and Byun,<br />

1999). Currently the <strong>modelling</strong> systems encompass the regional-to-<strong>urban</strong> <strong>scales</strong>, but the<br />

framework allows the future development of single models for other <strong>scales</strong>. The model<br />

is based on the ‘one-<strong>at</strong>mosphere’ concept, solving numerically the governing equ<strong>at</strong>ions<br />

by using <strong>different</strong> hypothesis and approxim<strong>at</strong>ions for <strong>different</strong> <strong>scales</strong> and purposes<br />

(meteorological <strong>modelling</strong> or <strong>dispersion</strong> <strong>modelling</strong>, for example).<br />

Soulhac et al. (2003) contested this type of approach and developed a multiscale<br />

<strong>modelling</strong> system using <strong>different</strong> <strong>modelling</strong> techniques for each scale involved. As<br />

reported in figure 2-17, regional scale meteorological fields and concentr<strong>at</strong>ion are<br />

calcul<strong>at</strong>ed by SAIMM and UAM-V. Results are fed to the <strong>urban</strong> scale Eulerian grid<br />

model MERCURE, which calcul<strong>at</strong>es <strong>urban</strong> background concentr<strong>at</strong>ions. Then the system<br />

performs the final calcul<strong>at</strong>ion by means of SIRANE (in <strong>urban</strong> areas) or ADMS-3 (in<br />

industrial areas). The applic<strong>at</strong>ion of this <strong>modelling</strong> system to a district of Lyon showed<br />

encouraging results (Soulhac et al., 2003), despite the simple one-way coupling<br />

technique adopted.<br />

Figure 2-17 Schem<strong>at</strong>ic of the <strong>modelling</strong> system developed by Soulhac et al.(2003)<br />

Similar approaches (regional to street coupling) were adopted by Kukkonen et al.<br />

(2003), Brandt et al. (2001) and Mensink et al. (2003).<br />

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The <strong>modelling</strong> system developed by Kukkonen et al. (2003) includes a meteorological<br />

pre-processor (MPP-FMI) and two Gaussian models (UDM-FMI for st<strong>at</strong>ionary sources<br />

and CAR-FMI for traffic emission sources) for the calcul<strong>at</strong>ion of the <strong>urban</strong> background;<br />

street canyon concentr<strong>at</strong>ions are then calcul<strong>at</strong>ed by OSPM.<br />

The system THOR, developed by Brandt et al. (2001), is used in Danmark for <strong>air</strong><br />

quality forecasting in cities and includes (see figure 2.18): a continental scale<br />

meteorological forecasting model (ETA), initialized using d<strong>at</strong>a from the global scale<br />

model of the U.S. N<strong>at</strong>ional Center for Environmental Forecast; a long-range transport<br />

model (DEHM, Danish European Hemispheric Model), th<strong>at</strong> produces European scale<br />

forecasts; a simple semi-empirical <strong>urban</strong> background model (BUM, Background Urban<br />

Model); a street canyon model (OSPM); two models for emissions from point sources, a<br />

short-range model (OML) and a long-range model for accidental releases (DREAM).<br />

This <strong>modelling</strong> system has been applied in several <strong>urban</strong> areas and the results have been<br />

compared with monitoring d<strong>at</strong>a, showing the high quality and accuracy of the results<br />

(Brandt et al., 2003).<br />

Figure 2-18 The THOR integr<strong>at</strong>ed model system (NERI, 2008)<br />

AURORA is another multi-scale model, which has been implemented in the city of<br />

Antwerp, Belgium (Mensink et al., 2003). It includes a meteorological model (ARPS)<br />

and emission and terrain inputs are integr<strong>at</strong>ed in a GIS system. Background<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

concentr<strong>at</strong>ions are calcul<strong>at</strong>ed by the Lagrangian trajectory model OPS, while<br />

concentr<strong>at</strong>ions in streets are computed by means of a street box model. The system also<br />

includes specific dose-response functions in order to assess both health effects and<br />

ecosystem<br />

An example of regional to <strong>urban</strong> coupling is the OFIS model, developed for calcul<strong>at</strong>ing<br />

<strong>urban</strong> ozone levels in conjunction with a regional scale chemical transport model. The<br />

model represents a combin<strong>at</strong>ion of a box model and an Eulerian multilayer multi-box<br />

model describing transport and photochemical transform<strong>at</strong>ion processes in an <strong>urban</strong><br />

plume (Moussiopoulos and Sahm, 2000).<br />

One example of two-way coupling is the model proposed by Tsegas et al. (2008). In this<br />

work, a novel scheme is developed for introducing effects of the <strong>urban</strong> canopy<br />

calcul<strong>at</strong>ed on the microscale to a mesoscale calcul<strong>at</strong>ion, by means of two-way coupling<br />

between the mesoscale MEMO model (Moussiopoulos et al., 1993) and the microscale<br />

model MIMO (Ehrhard et al., 2000). One-way coupling of mesoscale-to-microscale<br />

systems was initially devised as a way to provide microscale calcul<strong>at</strong>ions with accur<strong>at</strong>e<br />

initial and boundary conditions aiming to improve the accuracy of flow comput<strong>at</strong>ions<br />

within and around elements of the <strong>urban</strong> canopy (Kunz et al., 2000). On the other hand,<br />

a two-way coupling scheme would ideally be able to account for the effect of the <strong>urban</strong><br />

structures, to the extent represented by the microscale calcul<strong>at</strong>ions, on the calcul<strong>at</strong>ed<br />

mesoscale flow (Martilli, 2007). The main obstacle for the implement<strong>at</strong>ion of such a<br />

coupled system would be the large gap of sp<strong>at</strong>ial and temporal <strong>scales</strong> between the two<br />

models, as well as a prohibitive gap in their execution speeds: the smallest practical<br />

mesoscale grid could cover an area of the order of a few tens of kilometres with a grid<br />

resolution of 500 m, using a timestep on the order of 2 to 10 s, while typical calcul<strong>at</strong>ion<br />

times for a 24-hour simul<strong>at</strong>ion is of the order of tens of minutes. A meta<strong>modelling</strong><br />

scheme, aiming to approxim<strong>at</strong>e the time-consuming microscale calcul<strong>at</strong>ions with a<br />

simple interpol<strong>at</strong>ing model during the course of the two-way coupled run, was proposed<br />

in order to solve these difficulties. The performance of the coupled MEMO-MIMO<br />

model was assessed using a springtime case for the gre<strong>at</strong>er area of Athens, Greece.<br />

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2.9 Model evalu<strong>at</strong>ion of <strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong><br />

Air quality models are powerful tools to predict the f<strong>at</strong>e of pollutant gases or aerosols<br />

upon their release into the <strong>at</strong>mosphere; complex numerical models, widely used to assist<br />

decision-makers in environmental studies, have not always been submitted to proper<br />

analysis of their performance. Therefore, decisions with political and economical<br />

consequences could be based on model predictions of unknown quality (Sch<strong>at</strong>zmann<br />

and Leitl 2002). It is imper<strong>at</strong>ive th<strong>at</strong> these <strong>dispersion</strong> models be properly evalu<strong>at</strong>ed with<br />

observ<strong>at</strong>ional d<strong>at</strong>a before their predictions can be used with confidence, because the<br />

model results often influence decisions th<strong>at</strong> have large public-health and economic<br />

consequences. Decision makers should be able to make use of available inform<strong>at</strong>ion on<br />

<strong>air</strong> quality model performance. An example of a decision maker is a person in a<br />

regul<strong>at</strong>ory agency who uses the results of photochemical models to decide emission<br />

control str<strong>at</strong>egies which clearly will have large economic and social impacts.<br />

Dispersion is primarily controlled by turbulence in the <strong>at</strong>mospheric boundary layer.<br />

Turbulence is random by n<strong>at</strong>ure and thus cannot be precisely described or predicted,<br />

other than by means of basic st<strong>at</strong>istical properties such as the mean and variance. As a<br />

result, there is sp<strong>at</strong>ial and temporal variability th<strong>at</strong> n<strong>at</strong>urally occurs in the observed<br />

concentr<strong>at</strong>ion field. On the other hand, uncertainty in the model results can also be due<br />

to factors such as errors in the input d<strong>at</strong>a, model physics, and numerical represent<strong>at</strong>ion.<br />

Because of the effects of uncertainty and its inherent randomness, it is not possible for<br />

an <strong>air</strong> quality model to ever be ‘‘perfect’’, and there is always a base amount of sc<strong>at</strong>ter<br />

th<strong>at</strong> cannot be removed. As Oreskes et al. (1994) pointed out, it is impossible to valid<strong>at</strong>e<br />

environmental models thoroughly because of the infinite number of scenarios th<strong>at</strong> can<br />

occur, as well as the large amount of n<strong>at</strong>ural variables. Hence, it may not be appropri<strong>at</strong>e<br />

to talk of a valid model, but only of a model th<strong>at</strong> has agreed upon regions of<br />

applicability and quantified levels of performance (accuracy) when tested upon certain<br />

specific and appropri<strong>at</strong>e d<strong>at</strong>a sets (Hanna et al., 2003b). For all these reasons the<br />

definition of model quality is not a simple task and there is no universal approach.<br />

Although these difficulties, an integr<strong>at</strong>ed system of activities must be established in<br />

order to guarantee and to improve the quality of <strong>modelling</strong> results.<br />

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2.9.1 Model evalu<strong>at</strong>ion and model quality assurance<br />

Model Quality Assurance (Model QA) is a rel<strong>at</strong>ively new approach. Nevertheless, QA<br />

as a general concept is far from being a new term and it is broadly used in many<br />

<strong>different</strong> fields, such as waste disposal and inciner<strong>at</strong>ion, <strong>air</strong> and w<strong>at</strong>er quality<br />

monitoring, labor<strong>at</strong>ory measurements, software development, etc. The main objective of<br />

QA is to provide quality assured d<strong>at</strong>a, and it requires the outlining of objectives,<br />

appropri<strong>at</strong>e tools and an implement<strong>at</strong>ion str<strong>at</strong>egy.<br />

In Borrego et al. (2003a), Model Quality Assurance is defined as follow:<br />

Model Quality Assurance is an integr<strong>at</strong>ed system of management activities involving<br />

planning, document<strong>at</strong>ion, implement<strong>at</strong>ion and assessment established to ensure th<strong>at</strong> the<br />

model in use is of expected quality.<br />

Implement<strong>at</strong>ion of QA for <strong>modelling</strong> introduces a new perspective for estim<strong>at</strong>ion of<br />

model performance, being judged in terms of usefulness of <strong>modelling</strong> results or fitness<br />

for intended use. To assess quality, Model Evalu<strong>at</strong>ion is usually carried out, and can be<br />

defined as follows (Borrego et al., 2003a):<br />

Model Evalu<strong>at</strong>ion is an overall system of procedures designed to measure the model<br />

performance. The following procedures may be considered for Model Evalu<strong>at</strong>ion:<br />

verific<strong>at</strong>ion, valid<strong>at</strong>ion, sensitivity analysis, uncertainty analysis and model<br />

intercomparison.<br />

Based on the above definitions, Model Evalu<strong>at</strong>ion is rel<strong>at</strong>ed to measuring model quality,<br />

while Quality Assurance is a process to guarantee the expected quality. Model<br />

Evalu<strong>at</strong>ion is therefore one of the inherent components of Model QA (figure 2-19).<br />

Model QA is a management function, dealing with policy and designed to ensure th<strong>at</strong><br />

appropri<strong>at</strong>e methods and d<strong>at</strong>a are used, errors in calcul<strong>at</strong>ions are minimised and the<br />

document<strong>at</strong>ion is adequ<strong>at</strong>e to meet user requirements.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Figure 2-19 Components of Model Quality Assurance<br />

Generally speaking, model evalu<strong>at</strong>ion should have the following components (Borrego<br />

et al., 2003a; Sch<strong>at</strong>zmann et al., 1997; Sch<strong>at</strong>zmann and Leitl, 2002):<br />

1. Verific<strong>at</strong>ion: the process of showing th<strong>at</strong> a technical model is a proper<br />

represent<strong>at</strong>ion of the conceptual model on which is based, and of checking th<strong>at</strong><br />

m<strong>at</strong>hem<strong>at</strong>ical equ<strong>at</strong>ions have been correctly solved. It also includes quality<br />

control of the computer code.<br />

2. Valid<strong>at</strong>ion: the process of showing th<strong>at</strong> the conceptual model and the computer<br />

code provide an adequ<strong>at</strong>e represent<strong>at</strong>ion of the problem. It requires comparison<br />

of model results with experimental d<strong>at</strong>a.<br />

3. Sensitivity analysis: the process of identifying the magnitude, direction and<br />

form (linear or nonlinear) of an individual parameter effect on model results.<br />

4. Uncertainty analysis: the process of characteriz<strong>at</strong>ion of uncertainties associ<strong>at</strong>ed<br />

to model results. It can be: qualit<strong>at</strong>ive (define source and magnitude of error),<br />

semi-quantit<strong>at</strong>ive (r<strong>at</strong>ing, rel<strong>at</strong>ive indic<strong>at</strong>ors), and quantit<strong>at</strong>ive (st<strong>at</strong>istical<br />

parameters, probability method, error propag<strong>at</strong>ion).<br />

5. Model intercomparison: the process to assess a model performance by<br />

simultaneous comparison of <strong>modelling</strong> results provided by <strong>different</strong> models for<br />

the chosen situ<strong>at</strong>ion.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Quality of models is understood as fitness-for-purpose (Britter et al., 1995). Selection of<br />

the right model for the defined objectives, together with adequ<strong>at</strong>e evalu<strong>at</strong>ion<br />

procedures, will provide good quality <strong>modelling</strong> results. Nevertheless, the same model<br />

may produce unacceptable results if not used for appropri<strong>at</strong>e conditions. There are no<br />

‘good’ models or ‘poor’ models, the model is suitable or not for the specified objectives.<br />

Due to the complexity of the phenomena simul<strong>at</strong>ed by <strong>air</strong> quality models, there are<br />

always uncertainties associ<strong>at</strong>ed with <strong>modelling</strong> results. Therefore, an important step is<br />

the definition of the criteria to estim<strong>at</strong>e the model performance. For this task, Quality<br />

Indic<strong>at</strong>ors (QI) should be chosen. They can be quantit<strong>at</strong>ive st<strong>at</strong>istical parameters as well<br />

as qualit<strong>at</strong>ive measures such as ‘represent<strong>at</strong>iveness’ or ‘completeness’.<br />

The definition of QI for <strong>modelling</strong> results is not a simple task. It should be taken into<br />

consider<strong>at</strong>ion th<strong>at</strong> no single quality indic<strong>at</strong>or is good enough to assess model<br />

performance, and th<strong>at</strong> therefore a system of quantit<strong>at</strong>ive parameters has to be identified.<br />

Applic<strong>at</strong>ion of such indic<strong>at</strong>ors helps to understand model limit<strong>at</strong>ions and provides a<br />

support for model intercomparison. It is important to establish whether the uncertainties<br />

make the <strong>modelling</strong> results not useful for answering specific questions. Estim<strong>at</strong>ion of<br />

model acceptability (quality objectives, QO) is based on the definition of quality<br />

indic<strong>at</strong>ors’ range within which the <strong>modelling</strong> results may be considered s<strong>at</strong>isfactory.<br />

These values should be realistic and determined primarily according to <strong>modelling</strong> goals,<br />

and should reflect st<strong>at</strong>e-of-the-science, or present-day models capabilities. Whenever<br />

simul<strong>at</strong>ion results do not lie within the recommended range they are considered<br />

unacceptable for the specific applic<strong>at</strong>ion. Simple QO, for example, are established under<br />

the European Directives on <strong>air</strong> quality (see Borrego et al., 2003a).<br />

Most of the activity surrounding <strong>modelling</strong> uncertainties <strong>at</strong> the smallest <strong>scales</strong> (less than<br />

regional scale) has concerned with assessment of the quality of a model output in order<br />

to identify where model improvement is required or which models are somehow better<br />

than others. These tasks have been performed by means of model verific<strong>at</strong>ion,<br />

valid<strong>at</strong>ion, model intercomparison and sensitivity analysis (see, e.g., Olesen, 1997;<br />

Hanna, 1988, 1989, 1993; Hanna et al., 1996, 2004; Hanna and Chang, 2001;<br />

Sch<strong>at</strong>zmann et al., 1997; Canepa and Builtjes, 2001). Less <strong>at</strong>tention has been paid to the<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

question of how accur<strong>at</strong>e a model needs to be to become useful in respect to a given<br />

policy, nor to the implic<strong>at</strong>ions of model uncertainty for policy decisions, despite the fact<br />

th<strong>at</strong> this is one of the key recommend<strong>at</strong>ions of Britter et al. (1995). This is usually done<br />

by means of uncertainty analysis, but also valid<strong>at</strong>ion and sensitivity analysis can be used<br />

for this task (Colvile et al., 2002; Borrego et al., 2003b; Dabberdt and Miller, 2000,<br />

Denby et al. 2007). The components mainly used in the Model Evalu<strong>at</strong>ion procedure,<br />

valid<strong>at</strong>ion and uncertainty analyses are better explained in the next sections.<br />

2.9.2 Model valid<strong>at</strong>ion<br />

Over almost 100 years, models of <strong>air</strong> flow and transport and <strong>dispersion</strong> in the<br />

<strong>at</strong>mosphere have been developed and valid<strong>at</strong>ed, leading to a gre<strong>at</strong> amount of experience<br />

and several standardized methods for model evalu<strong>at</strong>ion. For example, the American<br />

Society of Testing and M<strong>at</strong>erials has published a standard for <strong>air</strong> quality model<br />

valid<strong>at</strong>ion (ASTM, 2000). Most of this experience has involved straightforward<br />

Gaussian plume models, but the same principles apply to more complex models such as<br />

time dependent three-dimensional grid models, CFD models and others (Hanna et al.,<br />

2003b).<br />

A gre<strong>at</strong> increase in the number of <strong>air</strong> quality model valid<strong>at</strong>ion studies took place about<br />

1980, since U.S.EPA procedures were standardized (USEPA, 1981) <strong>at</strong> th<strong>at</strong> time and<br />

many research studies were begun in order to further improve the system. Prior to th<strong>at</strong><br />

time, <strong>air</strong> quality model evalu<strong>at</strong>ions were often conducted on an arbitrary, ad hoc basis<br />

(Hanna, 1989).<br />

An important milestone in model valid<strong>at</strong>ion was the Woods Hole workshop (Fox,<br />

1981). At this workshop, an extensive set of performance measures was formul<strong>at</strong>ed and<br />

recommended for future studies. After a few year of experience with this set of<br />

performance measures, it was the felt th<strong>at</strong> a reduced set was desirable, because the<br />

volume of st<strong>at</strong>istics was overwhelming and difficult to digest (Smith, 1984).<br />

The Electric Power Research Institute launched a programme for Plume Model<br />

Development and Valid<strong>at</strong>ion (PMD&V). It has resulted in a number of useful d<strong>at</strong>a sets<br />

from field experiments and numerous reports (e.g. Bowne et al., 1983).<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

The focus of the research in this field has been basically on the development of<br />

st<strong>at</strong>istical model evalu<strong>at</strong>ion methods for the comparison between observed and<br />

measured values, dealing mainly with local scale plume models. Most of these methods<br />

are based on variants of the BOOT model evalu<strong>at</strong>ion software developed by Hanna<br />

(1989). The initial focus of the BOOT software was to use Bootstrap or Jackknife<br />

resembling to estim<strong>at</strong>e 95% confidence intervals on model performance measures.<br />

Because of the interest of the U.S.EPA in the method and their emphasis on maximum<br />

concentr<strong>at</strong>ions, the early applic<strong>at</strong>ions (e.g., Hanna et al., 1993) used maximum observed<br />

and predicted concentr<strong>at</strong>ions on specific downwind monitoring arcs. However, the<br />

st<strong>at</strong>istical methods are the same no m<strong>at</strong>ter wh<strong>at</strong> d<strong>at</strong>a (e.g., p<strong>air</strong>ed in time, p<strong>air</strong>ed in<br />

space, or p<strong>air</strong>ed in time and space) are being evalu<strong>at</strong>ed (Hanna et al., 2003b).<br />

In Europe, the first initi<strong>at</strong>ive taking into account model evalu<strong>at</strong>ion aspects was launched<br />

in 1991 in a meeting held <strong>at</strong> the European Joint Research Centre in Italy. The initi<strong>at</strong>ive<br />

led to the organiz<strong>at</strong>ion of a series of workshops and conferences on ‘Harmoniz<strong>at</strong>ion<br />

within Atmospheric Dispersion Modelling for Regul<strong>at</strong>ory Purposes’ (see, e.g., Olesen,<br />

2001b). At these meetings, work has been conducted in order to start establishing a<br />

toolbox of recommended methods for model evalu<strong>at</strong>ion. The basis of much of this work<br />

has been a so-called Model Valid<strong>at</strong>ion Kit (Olesen, 1995). An upd<strong>at</strong>ed version of the kit<br />

has recently been released (Olesen, 2005).<br />

The Model Valid<strong>at</strong>ion Kit (MVK) addresses the classic problem of a single stack<br />

emitting a non-reactive gas. The package contains the following main elements:<br />

• Field d<strong>at</strong>a sets from the Kincaid, Indianapolis, Copenhagen and Lillestrom<br />

experiments;<br />

• The BOOT st<strong>at</strong>istical model evalu<strong>at</strong>ion software package;<br />

• Tools for explor<strong>at</strong>ory d<strong>at</strong>a analysis, useful for diagnostic model evalu<strong>at</strong>ion;<br />

• A recommended procedure (protocol) for model performance evalution.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

The two main limit<strong>at</strong>ions of the MVK are th<strong>at</strong> it does not explicitly account for the<br />

stochastic n<strong>at</strong>ure of <strong>dispersion</strong> problems, and only four experimental d<strong>at</strong>a sets are<br />

considered. An altern<strong>at</strong>ive approach has been proposed by John Irwin (see, e.g., Lee and<br />

Irwin, 1997; Irwin et al., 2003), and has resulted in an ASTM Standard Guide (ASTM,<br />

2000). The standard guide is based, again, on Steven Hanna’s work and the BOOT<br />

package, and, more or less, applies the same st<strong>at</strong>istical indices. The main difference<br />

with the MVK is on the regime averaging method: the fundamental premise of the<br />

ASTM procedure is th<strong>at</strong> observ<strong>at</strong>ions and model predictions should not be compared<br />

directly, and th<strong>at</strong> observ<strong>at</strong>ions should be properly averaged before comparison; the<br />

comparison takes place within regimes, which for example can be defined according to<br />

<strong>at</strong>mospheric stability and distance to the source; the ASTM procedure then calcul<strong>at</strong>es<br />

performance measures based on regime averages (i.e., averaging over all experiments<br />

within a regime), r<strong>at</strong>her than the values for individual experiments.<br />

Despite the fact th<strong>at</strong> the st<strong>at</strong>istical methods developed in the MVK and the ASTM<br />

standard can be also applied to complex <strong>urban</strong> <strong>dispersion</strong> models, developing a simple<br />

protocol or a toolbox, such as in the case of a single stack emitting a non-reactive<br />

pollutant, is not easy <strong>at</strong> all. The physical phenomena involved in <strong>urban</strong> <strong>dispersion</strong><br />

<strong>modelling</strong> are more complex, and the difficulties in model evalu<strong>at</strong>ion are due mainly to:<br />

• The n<strong>at</strong>ural variability in the <strong>urban</strong> environment and the <strong>urban</strong> canopy is even<br />

gre<strong>at</strong>er than in a rural PBL.<br />

• Good experimental d<strong>at</strong>a for valid<strong>at</strong>ion purposes are more difficult to collect. It is<br />

difficult to have represent<strong>at</strong>ive d<strong>at</strong>a sets in a complex <strong>urban</strong> area, and<br />

experiments are very expensive compared to the case of a single industrial stack.<br />

• The uncertainty associ<strong>at</strong>ed to the emission d<strong>at</strong>a is very high. Characterizing<br />

emission sources in a large <strong>urban</strong> area is not easy, due to the large number of<br />

sources and the high variability (see, e.g., vehicle emissions).<br />

• Meteorological d<strong>at</strong>a are seldom represent<strong>at</strong>ive of the actual situ<strong>at</strong>ion in the <strong>urban</strong><br />

canopy.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

• Complex chemical modules are often involved in <strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong><br />

(for example photochemical models). This introduces more sources of<br />

uncertainty both in the <strong>modelling</strong> process and in the evalu<strong>at</strong>ion process.<br />

• The models involved in <strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong> have more capabilities than<br />

simple Gaussian single-stack models (for example, they do not just simul<strong>at</strong>e the<br />

concentr<strong>at</strong>ion field, but can calcul<strong>at</strong>e a large number of micrometeorological<br />

parameters). For a complete assessment all these capabilities should be<br />

evalu<strong>at</strong>ed when judging a model of this type.<br />

Despite these difficulties, model valid<strong>at</strong>ion work on <strong>urban</strong> <strong>dispersion</strong> models (<strong>at</strong> all<br />

<strong>scales</strong>) has been carried out in the last decades. Especially during the most recent years,<br />

gre<strong>at</strong> interest has been put in the evalu<strong>at</strong>ion process of complex numerical models, with<br />

the proposal of several research projects, such as the EMU project (Hall, 1997), the<br />

SATURN project (Borrego et al., 2003a), the DAPPLE project (Arnold et al., 2004), or<br />

the Joint Urban 2003 <strong>dispersion</strong> study (Allwine et al., 2004) and COST 732 action<br />

(URL 2008), taking into account model quality and evalu<strong>at</strong>ion and the execution of<br />

several field and labor<strong>at</strong>ory experiments. Efforts have also been put into the adapt<strong>at</strong>ion<br />

of the BOOT st<strong>at</strong>istical methodology for complex <strong>urban</strong> models (for example, Hanna et<br />

al., 2003b, 2004). St<strong>at</strong>istical model evalu<strong>at</strong>ion methods for <strong>air</strong> quality models are<br />

reviewed by Chang and Hanna (2004).<br />

2.9.3 Uncertainty analysis<br />

A <strong>dispersion</strong> model has several sources of uncertainty. Following the framework given<br />

by Isukapalli (1999), the sources of uncertainty in <strong>air</strong> <strong>pollution</strong> transport and<br />

transform<strong>at</strong>ion models can be classified depending on their origins and how they can be<br />

addressed:<br />

1. N<strong>at</strong>ural uncertainty: environmental systems are inherently stochastic due to<br />

unavoidable unpredictability (randomness). In particular, the presence of<br />

turbulence is the main source of n<strong>at</strong>ural uncertainty and variability in <strong>air</strong> quality<br />

models.<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

2. Model uncertainty: m<strong>at</strong>hem<strong>at</strong>ical models are necessarily simplified<br />

represent<strong>at</strong>ions of the phenomena being studied and a key aspect of the<br />

<strong>modelling</strong> process is the judicious choice of model assumptions.<br />

3. D<strong>at</strong>a uncertainty: uncertainties in model parameter estim<strong>at</strong>es arise from a<br />

variety of sources: measurement errors, misclassific<strong>at</strong>ion, estim<strong>at</strong>ion of<br />

parameters through a small sample, and estim<strong>at</strong>ion of parameters through nonrepresent<strong>at</strong>ive<br />

samples.<br />

Figure 2-20 shows the types of uncertainty present in transport and transform<strong>at</strong>ion<br />

model applic<strong>at</strong>ion and their interrel<strong>at</strong>ionships.<br />

Figure 2-20 Types of uncertainty present in transport and transform<strong>at</strong>ions model<br />

applic<strong>at</strong>ions and their interrel<strong>at</strong>ionships (based on Georgopoulos, 1995)<br />

Uncertainty associ<strong>at</strong>ed with model formul<strong>at</strong>ion and applic<strong>at</strong>ion can be also classified as<br />

intrinsic and predictive. The first of these refers to the models uncertainties in terms of<br />

input d<strong>at</strong>a, model formul<strong>at</strong>ion and numerical description. The second type, predictive<br />

model uncertainty, refers to the models ability to predict a measurement made <strong>at</strong> some<br />

point in space and will include both the intrinsic uncertainty as well as the uncertainty<br />

due to sp<strong>at</strong>ial and temporal represent<strong>at</strong>iveness. Represent<strong>at</strong>iveness can be larger when<br />

the scale of sp<strong>at</strong>ial vari<strong>at</strong>ion is smaller than the model resolution (Denby et al., 2007).<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Air <strong>pollution</strong> models vary from simple methods, which possess only a few parameters,<br />

to complex ones, characterized by a large number of parameters. As illustr<strong>at</strong>ed in the<br />

figure 2-21, the larger the number of parameters, the lower should be the uncertainty<br />

associ<strong>at</strong>ed with the model, and the smaller the errors in the model’s represent<strong>at</strong>ion of<br />

the physical reality. Unfortun<strong>at</strong>ely, however, the larger the number of input parameters<br />

to be specified, the larger the input d<strong>at</strong>a error. As indic<strong>at</strong>ed in figure 2-21, there is an<br />

optimum model choice th<strong>at</strong> minimizes the total uncertainty. This simple interpret<strong>at</strong>ion<br />

explains why the performance of complex models is often equal or inferior to th<strong>at</strong> of<br />

simpler methodologies. Complex models work well only when their extensive d<strong>at</strong>a<br />

input requirements are s<strong>at</strong>isfied, which rarely occurs (Zannetti, 1990). For this reason is<br />

very important to realize detailed study in order to quantify the uncertainties.<br />

Figure 2-21 Optimal model choice th<strong>at</strong> minimizes the total uncertainties (Hanna,<br />

1989)<br />

The ideal m<strong>at</strong>hem<strong>at</strong>ical model would provide the highest degree of simplific<strong>at</strong>ions<br />

while providing an adequ<strong>at</strong>ely accur<strong>at</strong>e represent<strong>at</strong>ion of the processes affecting the<br />

phenomena of interest. Hence, the structure of m<strong>at</strong>hem<strong>at</strong>ical models is often a key<br />

source of uncertainty. In table 2-7 some of the sources of model and parametric<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

uncertainty associ<strong>at</strong>ed with the formul<strong>at</strong>ion and the applic<strong>at</strong>ion of transport and<br />

transform<strong>at</strong>ion models are listed (Moussiopoulos et al., 2001).<br />

Uncertainty in model formul<strong>at</strong>ion<br />

(structural uncertainty)<br />

Simplific<strong>at</strong>ion in conceptual uncertainty<br />

Simplific<strong>at</strong>ion in m<strong>at</strong>hem<strong>at</strong>ical formul<strong>at</strong>ion<br />

Ergodig-type hypotheses<br />

Independence hypotheses<br />

Sp<strong>at</strong>ial averaging<br />

Temporal averaging<br />

Process decoupling<br />

Lumping of parameters<br />

Discretis<strong>at</strong>ion<br />

Numerical algorithm/oper<strong>at</strong>or splitting<br />

Approxim<strong>at</strong>ions in computer coding<br />

112<br />

Uncertainty in model applic<strong>at</strong>ion<br />

(d<strong>at</strong>a/parametric uncertainty)<br />

Constitutive parameter selection<br />

Design/structural parameter selection<br />

Input d<strong>at</strong>a development/selection<br />

Source inform<strong>at</strong>ion<br />

Topography/Land cover<br />

Meteorology<br />

Initial and boundary conditions<br />

Emission<br />

Oper<strong>at</strong>ional model evalu<strong>at</strong>ion<br />

Uncertainty in model estim<strong>at</strong>ion<br />

Uncertainty in observ<strong>at</strong>ions<br />

Nonexistence of observ<strong>at</strong>ions<br />

Response Interpret<strong>at</strong>ion<br />

Different emission levels<br />

Table 2-7 Examples of the sources of uncertainty in the formul<strong>at</strong>ion and<br />

applic<strong>at</strong>ion of transport-transform<strong>at</strong>ion models (Isukapalli, 1999)<br />

Another represent<strong>at</strong>ion of the sources of uncertainty for <strong>at</strong>mospheric <strong>dispersion</strong> models<br />

is given by Colvile et al. (2002) and reported in figure 2-22.


Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

Figure 2-22 Schem<strong>at</strong>ic diagram showing flow of d<strong>at</strong>a into and out of the<br />

<strong>at</strong>mospheric <strong>dispersion</strong> model, and three c<strong>at</strong>egories of uncertainty th<strong>at</strong> can be<br />

introduced (Colvile et al., 2002)<br />

Several methods are available for estim<strong>at</strong>ing uncertainty associ<strong>at</strong>ed with m<strong>at</strong>hem<strong>at</strong>ical<br />

models. For example, they are briefly reviewed by Isukapalli (1999). Ideally, we would<br />

estim<strong>at</strong>e the size of each source of uncertainty, calcul<strong>at</strong>e st<strong>at</strong>istically the likely total<br />

impact on model output quality, and then verify th<strong>at</strong> the difference between model<br />

output and valid<strong>at</strong>ion measurement (for the base case year) is less than the estim<strong>at</strong>ed<br />

total uncertainty.<br />

This might be described as a bottom-up method of assessing model output quality.<br />

Conventional methods of this type involve sensitivity analysis and uncertainty<br />

propag<strong>at</strong>ion and, according to Moussiopoulos et al. (2001), can be divided in sensitivity<br />

testing and sampling methods. Sensitivity testing involves studying the model response<br />

for a set of input variables. The applic<strong>at</strong>ion of this approach is straightforward and it has<br />

been widely employed in <strong>air</strong> quality <strong>modelling</strong>. The primary advantage of this approach<br />

is th<strong>at</strong> it accommod<strong>at</strong>es both qualit<strong>at</strong>ive and quantit<strong>at</strong>ive inform<strong>at</strong>ion regarding vari<strong>at</strong>ion<br />

of the input d<strong>at</strong>a. The main disadvantage using this approach, however, is th<strong>at</strong> the<br />

sensitivity inform<strong>at</strong>ion obtained depends to a gre<strong>at</strong> extent on the choice of the sampling<br />

points, especially when only a small number of simul<strong>at</strong>ions can be performed. Sampling<br />

based methods, such as the Monte Carlo method, involve running the model for a set of<br />

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Chapter 2 Review of <strong>urban</strong> <strong>air</strong> <strong>pollution</strong> modeling and evalu<strong>at</strong>ion methods<br />

input combin<strong>at</strong>ions (sampling points) and estim<strong>at</strong>ing the sensitivity/uncertainty using<br />

the model outputs <strong>at</strong> those points.<br />

In practice, however, many of the sources of uncertainty are of unknown magnitude and<br />

the interaction between the very large number of factors is poorly understood (Colvile et<br />

al., 2002). Furthermore, since the sampling methods require a large number of samples<br />

(or model runs), their applicability is sometimes limited to simple models. It is,<br />

therefore, generally believed th<strong>at</strong> it is currently impossible to adopt the bottom-up<br />

approach, especially for the sources of uncertainty concerned with the <strong>modelling</strong> itself<br />

(level of uncertainty 2, as shown in figure 2-22) as opposed to the input d<strong>at</strong>a (level 1 in<br />

figure 2-22).<br />

An altern<strong>at</strong>ive method was described by Colvile et al. (2002), Stern and Fleming (2007)<br />

and Borrego et al. (2008), and might be referred to as top-down, in th<strong>at</strong> the individual<br />

causes of error in the model output are not considered, but the total effect of some or all<br />

of these is quantified by using a sufficiently large number of valid<strong>at</strong>ion measurement<br />

points th<strong>at</strong> are sufficiently represent<strong>at</strong>ive of the conditions under which we wish to<br />

quantify model uncertainties. This method involves comparison between models and<br />

observ<strong>at</strong>ion or experimental d<strong>at</strong>a, th<strong>at</strong> is the same conceptual base used in the model<br />

valid<strong>at</strong>ion procedure.<br />

This top-down approach benefits from its simplicity, but has the weakness of<br />

introducing empiricism into the assessment of model output quality, and so it is<br />

necessary to ensure th<strong>at</strong> valid<strong>at</strong>ion conditions are similar to applic<strong>at</strong>ion conditions.<br />

Specifically, the top-down method is incapable of including the effect of the third class<br />

of error in figure 2-22, concerning the accuracy with which we are capable of predicting<br />

changes th<strong>at</strong> will occur in the future.<br />

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Chapter 3<br />

3.Neighbourhood/street scale <strong>modelling</strong> by means of wind tunnel<br />

3.1 Introduction<br />

methods<br />

Neighbourhood and street scale <strong>dispersion</strong> in an <strong>urban</strong> environment is a very complex<br />

m<strong>at</strong>ter, primarily reflecting interactions between the ‘external’ PBL and irregular arrays<br />

of three-dimensional obstacles, but also affected by traffic movement, emission<br />

condition and so on. Computer <strong>modelling</strong> of these processes is generally based on very<br />

simplistic concepts which, though often acceptable, will in many cases prove to be<br />

inadequ<strong>at</strong>e. Examples, where this may be so, include the <strong>dispersion</strong> of emission from<br />

special sources (e.g. road traffic), the prediction of short term concentr<strong>at</strong>ions and the<br />

interpret<strong>at</strong>ion of point measurements. To this list should be added the development and<br />

evalu<strong>at</strong>ion of improved parametric and CFD models. The only method available to<br />

solve questions of this kind is the experimental method and in particular wind tunnel<br />

<strong>modelling</strong> (Obasaju and Robins, 1998). A reduced-scale physical model has several<br />

advantages with respect to field experiments; wind tunnel <strong>modelling</strong> is cheaper than<br />

field experiments and has a high degree of reproducibility, thanks to the possibility of<br />

controlling meteorological parameters as well as <strong>dispersion</strong> and geometric variables.<br />

For all these reasons in this thesis neighbourhood and street scale <strong>dispersion</strong> were<br />

studied by means of wind tunnel methods.<br />

In this chapter, we begin by discussing the aspects involved in executing a wind tunnel<br />

<strong>modelling</strong> study (section 3.2); we then describe the labor<strong>at</strong>ory (section 3.3), where the<br />

experiments were performed, and finally we present the experimental str<strong>at</strong>egy (3.4) and<br />

techniques (tracer <strong>dispersion</strong> measurements, section 3.5) used in this study.<br />

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Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

3.2 Background on wind tunnel <strong>modelling</strong><br />

Wind tunnel <strong>modelling</strong> is a type of physical scaled <strong>modelling</strong>. Scaled <strong>modelling</strong> is<br />

based on the fundamental premise th<strong>at</strong> by reducing the geometrical scale of a given flow<br />

domain, and by adjusting reference parameters such as flow velocity, fluid density etc.,<br />

the original scale flow can be reproduced correctly. The development of various scaling<br />

techniques is based on similarity theories, i.e. on the assumption th<strong>at</strong>, once chosen the<br />

governing parameters, the conserv<strong>at</strong>ion of those parameters is sufficient for the correct<br />

reproduction of the flow and <strong>dispersion</strong> phenomena for a wide range of <strong>scales</strong>. Physical<br />

<strong>modelling</strong> criteria for undertaking scale-model <strong>dispersion</strong> experiments and rel<strong>at</strong>ing their<br />

outcome to their <strong>at</strong>mospheric counterparts have been widely discussed (see, for<br />

example, Snyder, 1981; Obasaju and Robins, 1998). Although these are generally<br />

discussed in terms of an isol<strong>at</strong>ed stack or a single building, they apply equally to arrays<br />

of obstacles (Robins and Macdonald, 2001).<br />

The main aspects in an <strong>air</strong> quality physical <strong>modelling</strong> study are basically:<br />

1. the simul<strong>at</strong>ion of an appropri<strong>at</strong>e <strong>at</strong>mospheric (boundary layer) flow in a wind<br />

tunnel<br />

2. the construction of a scale model of the topography and buildings of interest<br />

3. the simul<strong>at</strong>ion of the emission and <strong>dispersion</strong> phenomena of interest<br />

3.2.1 The simul<strong>at</strong>ion of the PBL flow<br />

The first process to be reproduced in wind tunnel is the <strong>at</strong>mospheric boundary layer<br />

flow. Wind shear in the PBL and the presence of the ground have a strong influence on<br />

the flow around buildings (Castro and Robins, 1977). It is now generally agreed th<strong>at</strong> it<br />

is essential to m<strong>at</strong>ch the <strong>at</strong>mospheric boundary layer structure both in terms of velocity<br />

profile and intensity, as well as spectral distribution (Snyder, 1981). The main aim of<br />

the physical <strong>modelling</strong> is to model the non-dimensional profiles of mean flow speed,<br />

turbulence normal and shear-stresses, and turbulence length <strong>scales</strong> throughout the depth<br />

of the simul<strong>at</strong>ed flow, Href. This may be obtained by producing an artificial turbulent<br />

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Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

boundary layer using turbulence promotors <strong>at</strong> the inlet section of the wind tunnel and<br />

roughness elements distributed on the wind tunnel floor (Counihan, 1969). Devices such<br />

as vortex gener<strong>at</strong>ors (Counihan, 1969) aid the quick development of a boundary layer,<br />

and roughness elements on the tunnel floor maintain the boundary layer structure along<br />

the length of the tunnel (see figure 3.1). More details about the simul<strong>at</strong>ion, development<br />

and structure of a neutral <strong>at</strong>mospheric boundary layer can be found in Robins (1979).<br />

Figure 3-1 Schem<strong>at</strong>ic of a boundary layer simul<strong>at</strong>ion system in an <strong>at</strong>mospheric<br />

wind tunnel<br />

General similarity between reduced-scale and full-scale flow requires geometric<br />

similarity, kinem<strong>at</strong>ic similarity, dynamic similarity, and similarity of the boundary<br />

conditions. The required conditions can be derived from dimensional analysis of the<br />

governing equ<strong>at</strong>ions of fluid flow (conserv<strong>at</strong>ion equ<strong>at</strong>ions of mass, momentum and<br />

energy). These equ<strong>at</strong>ions can be written in nondimensional form using the following<br />

scaling factors: Lref for the lengths, Uref for the velocities, θref for the temper<strong>at</strong>ures, ρref<br />

for the density, Ωref for the angular velocities, and gref for the gravit<strong>at</strong>ional acceler<strong>at</strong>ion.<br />

The subscript ref indic<strong>at</strong>es a reference value. Usually values <strong>at</strong> the boundary layer edge<br />

are used as reference (in particular Lref is usually the boundary layer depth, Ωref = Ω0).<br />

When the equ<strong>at</strong>ions governing fluid motion are non-dimensionalized the dimensionless<br />

parameters th<strong>at</strong> need to be m<strong>at</strong>ched between experiment and field to obtain kinem<strong>at</strong>ic<br />

and dynamic similarity of the flows are the following:<br />

Reynolds number Re =<br />

LrefU<br />

ref<br />

ν<br />

, where ν is the kinem<strong>at</strong>ic viscosity<br />

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Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

Rossby number Ro =<br />

L<br />

U<br />

ref<br />

ref Ω0<br />

∆θ<br />

ref 1<br />

Bulk Richardson number Rib = , where the Froude number Fr =<br />

2<br />

θ Fr<br />

Peclet number Pe = Re·Pr where the Prandtl number Pr =<br />

2<br />

U ref<br />

Eckert number Ec =<br />

c θ<br />

p<br />

ref<br />

ref<br />

, where cp is the specific he<strong>at</strong> of the flow<br />

118<br />

L<br />

U ref<br />

2<br />

ref<br />

g<br />

ref<br />

ν<br />

and α the thermal diffusivity<br />

α<br />

The similarity does not depend strongly upon the Eckert number until the flow speeds<br />

approach the speed of sound; therefore this requirement is relaxed (Cermak, 1971).<br />

The Rossby number is a measure of the locale acceler<strong>at</strong>ion rel<strong>at</strong>ive to Coriolis<br />

acceler<strong>at</strong>ion in the <strong>at</strong>mosphere and it is impossible to m<strong>at</strong>ch in conventional wind<br />

tunnels, although some experiments have been <strong>at</strong>tempted using annular wind tunnels<br />

and rot<strong>at</strong>ing tanks (Alessio et al., 1983; Howroyd and Slawson, 1975). The main effect<br />

of the Coriolis force is the gener<strong>at</strong>ion of the Ekman spiral, th<strong>at</strong> is a devi<strong>at</strong>ion of wind<br />

direction with height. According to several studies (e.g. Snyder, 1981), the Rossby<br />

number requirement can be relaxed when <strong>modelling</strong> <strong>dispersion</strong> phenomena <strong>at</strong> a<br />

maximum distance from the source of about 5000 m, in case of neutral or stable<br />

conditions in rel<strong>at</strong>ively fl<strong>at</strong> terrain.<br />

M<strong>at</strong>ching the Reynolds number of the full scale and model flows (known as ‘dynamic<br />

similarity’) imposes a strict limit<strong>at</strong>ion on the scale reduction possible, especially in the<br />

wind tunnel where the values of ρ and µ are identical to values in the <strong>at</strong>mosphere (in the<br />

w<strong>at</strong>er tank these values can be considerably higher). The only reference parameter th<strong>at</strong><br />

can be changed is therefore the reference velocity Uref. For <strong>at</strong>mospheric flows, a typical<br />

scale reduction by 10 2 -10 3 requires an increase of 10 2 -10 3 in the velocity, which is not<br />

possible to achieve in the wind tunnel. Various arguments have been presented to justify<br />

neglecting strict dynamic similarity, and using a smaller Re number in a model (Snyder,<br />

1981). The Reynolds number independence criterion is based on the premise th<strong>at</strong><br />

‘geometrically similar flows are similar <strong>at</strong> all sufficiently large Reynolds numbers’.<br />

Above a certain Re threshold (Re>10 4 ) a flow becomes turbulent and then the gross


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

structure of the turbulence becomes similar over a very wide range of Re numbers; this<br />

value of Re is easily reproduced in wind tunnel experiments, where typical values of Re<br />

are about 10 4 -10 5 . There is a large amount of experimental d<strong>at</strong>a supporting this<br />

hypothesis, and it is a standard concept used by wind engineering tunnel modellers<br />

(Snyder, 1981).<br />

The Pellet number is the product of Re and the Prandtl number. The l<strong>at</strong>ter is a fluid<br />

property and not a flow property, and does not vary strongly with temper<strong>at</strong>ure. Thus,<br />

arguments similar to those constructed for Reynolds number independence may be used<br />

to justify the neglect of the Peclet number as <strong>modelling</strong> criteria (Snyder, 1981).<br />

The bulk Richardson number is the r<strong>at</strong>io of buoyancy and inertial forces, and is<br />

regarded as the most important <strong>modelling</strong> criterion th<strong>at</strong> must be m<strong>at</strong>ched between fullscale<br />

and experiments. However, for the simul<strong>at</strong>ion of neutral boundary layers, Rib = 0,<br />

and thus there is not any restriction on flow speed and temper<strong>at</strong>ure in the model. In case<br />

of str<strong>at</strong>ified flows <strong>modelling</strong>, it is the fundamental criterion, and can prove to be a<br />

difficult parameter to be replic<strong>at</strong>ed in a fluid model.<br />

It is clear th<strong>at</strong> for a steady flow with neutral str<strong>at</strong>ific<strong>at</strong>ion no dimensionless parameters<br />

have to be exactly m<strong>at</strong>ched. Lengths <strong>scales</strong> determined from physical model can be<br />

converted to full-scale by simple multiplic<strong>at</strong>ion with the geometric scaling factor.<br />

Geometric similarity follows from the use of the same length scale for both horizontal<br />

and vertical dimensions.<br />

The last similarity criterion to be s<strong>at</strong>isfied in PBL flow scaling is the similarity of<br />

boundary conditions of the flow. These boundary conditions include distribution of<br />

temper<strong>at</strong>ure and roughness over the area of interest, the vertical temper<strong>at</strong>ure and<br />

velocity distribution of the approach flow (Cermak, 1971). Beyond, the flow must be<br />

fully developed before the model investig<strong>at</strong>ed and, in absence of topographical<br />

modific<strong>at</strong>ion, must respect the following prerequisite (Obasaju and Robins 1998):<br />

∂<br />

∂x<br />

U ref<br />


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

3.2.2 The physical model<br />

The choice of scale and the extent of the region to be represented are key decision in<br />

wind tunnel experiment<strong>at</strong>ion. They are obviously rel<strong>at</strong>ed as the model size is<br />

constrained by the dimensions of the working section. The choice of the scale is also a<br />

key factor in establishing the flow speed and emission conditions in the wind tunnel (see<br />

section 3.2.3). Figure 3.2 illustr<strong>at</strong>es how the model and working section sizes are<br />

rel<strong>at</strong>ed. Upstream of the emission loc<strong>at</strong>ion a sufficient fetch is needed to establish the<br />

required <strong>at</strong>mospheric flow. Then a downstream fetch is required which extends from the<br />

source region as far as necessary to answer the <strong>air</strong> quality question of issue. The figure<br />

shows the case of a tall stack where the downstream fetch is extensive. This is by no<br />

means always the case; e.g. in street canyon study the other side of the street may be the<br />

limit.<br />

Figure 3-2 Factors which determine the length of wind tunnel working section<br />

needed to undertake a plume <strong>dispersion</strong> simul<strong>at</strong>ion.<br />

There are two other r<strong>at</strong>her weak constraints affecting the choice of simul<strong>at</strong>ion scale.<br />

These are th<strong>at</strong> the r<strong>at</strong>ios of the obstacle or building size rel<strong>at</strong>ive to the roughness length<br />

and the boundary layer depth must be maintained in the labor<strong>at</strong>ory simul<strong>at</strong>ion. The first,<br />

coupled with similarity u*/UH (r<strong>at</strong>io between the friction velocity and the velocity <strong>at</strong> the<br />

building height H) in the ambient flow, ensures the required velocity profile over the<br />

building height, and the second the appropri<strong>at</strong>e large eddy <strong>scales</strong> rel<strong>at</strong>ive to the building<br />

dimensions. The l<strong>at</strong>ter is often relaxed, particularly when short-range building-affected<br />

<strong>dispersion</strong> is being simul<strong>at</strong>ed, the justific<strong>at</strong>ion being th<strong>at</strong> building-gener<strong>at</strong>ed processes<br />

120


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

and <strong>scales</strong> domin<strong>at</strong>e (Robins and Macdonald 2001). In this special case the vertical<br />

scale may be distorted rel<strong>at</strong>ive to the horizontal scale in the final model and only a<br />

fraction of the <strong>at</strong>mospheric boundary layer is simul<strong>at</strong>ed. In most circumstances this is<br />

not to be recommended; so, decisions have to be made about the degree of detail to be<br />

included. As much detail as possible is a good general rule, but financial and planning<br />

consider<strong>at</strong>ion may dict<strong>at</strong>e otherwise. A degree of compromise is often necessary, but<br />

this must be settled on a case by case basis. Clearly, the model must not be simplified to<br />

a level which jeopardizes the objectives of the study (Obasaju and Robins 1998).<br />

Wh<strong>at</strong>ever is decided about the scale and detail, the maintenance of fully rough surface<br />

conditions in the ambient flow is required; the model’s surface must be aerodynamically<br />

rough <strong>at</strong> the lowest oper<strong>at</strong>ing speed. This requires the flow speed to be large enough for<br />

the roughness Reynolds number, Re*, to be high enough (Snyder and Castro 1997):<br />

u * z0<br />

≥<br />

ν<br />

Re * = 1<br />

,<br />

where u* is the friction velocity, z0 the roughness length and ν is the kinem<strong>at</strong>ic<br />

viscosity.<br />

Another Reynolds number arise in order to ensure the appropri<strong>at</strong>e flow regime around<br />

the buildings and in their wakes; Reynolds number independence of the flow past sharp<br />

edged obstacles (buildings, etc.) is s<strong>at</strong>isfied when the obstacle Reynolds number, RH, is<br />

sufficiently large (Snyder, 1981):<br />

ReH =<br />

U H H<br />

ν<br />

4<br />

≥ 10<br />

,<br />

where UH = U(H). This is a realistic approach for sharp edged buildings but poses<br />

problem for smoother shaped obstacles.<br />

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Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

3.2.3 Emission and <strong>dispersion</strong> simul<strong>at</strong>ion<br />

The aim of the emission simul<strong>at</strong>ion is to define model source and wind condition which<br />

will lead to the correct simul<strong>at</strong>ion of the non-dimensional plume trajectory (Yp/Lref,<br />

Zp/Lref) and spread (σy/Lref, σz/Lref) as function of downstream position, x/Lref. The non-<br />

dimensional concentr<strong>at</strong>ion field (with Qref the reference source strength),<br />

C* =<br />

CU<br />

ref<br />

Q<br />

ref<br />

L<br />

2<br />

ref<br />

is then autom<strong>at</strong>ically reproduced.<br />

By considering a single source, emission simul<strong>at</strong>ion can be illustr<strong>at</strong>ed defining the<br />

following parameters: stack diameter (ds) and height (hs), emission velocity (Ws) and<br />

density (ρs) and the reference ambient wind speed (Uref) and density (ρref).<br />

The dimensional analysis of the physical process involved in the release of a gas from a<br />

source show th<strong>at</strong> the following nondimensional parameters need to be conserved:<br />

Ws/Uref, ρs/ρref and (gHref)/U 2 ref; this means th<strong>at</strong> volume flux Q, mass flux QM,<br />

momentum flux FM, Richardson number Ri and buoyancy flux FB are also conserved.<br />

The conserv<strong>at</strong>ion of these nondimensional parameters is termed the complete scaling<br />

condition. The most telling consequence of complete scaling is the rel<strong>at</strong>ion between<br />

model and full-scale wind speeds; i.e. the velocity scaling r<strong>at</strong>io (Uref)m/Uref=S 1/2 , where<br />

S=(Lref)m/Lref is the geometric scale r<strong>at</strong>io and the subscript m denotes the model st<strong>at</strong>e.<br />

This demonstr<strong>at</strong>es four things: 1) low speeds are necessary <strong>at</strong> model scale, 2) extreme<br />

geometric scale r<strong>at</strong>io S are to be avoided, 3) large facilities are required and 4) the<br />

demands of complete scaling often may be impossible to meet. As a m<strong>at</strong>ter of facts, S is<br />

usually of the order of 10 2 −10 3 , and this implies velocity scaling factors of the order of<br />

10 −100, th<strong>at</strong> means a very slow flow with respect to real wind velocities. This is very<br />

difficult to achieve and control in wind tunnels, and it is in contrast with the Reynolds<br />

number requirements explained in the previous sections (3.2.1-3.2.2).<br />

Usually, therefore, we must abandon the complete scaling and make some<br />

approxim<strong>at</strong>ions. These approxim<strong>at</strong>ed rel<strong>at</strong>ionships are called enhanced scaling<br />

122


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

rel<strong>at</strong>ionships (see e.g. Obasaju and Robins, 1998). The objective of this rel<strong>at</strong>ionship is<br />

to relax the strict requirements of complete scaling in some way to obtain a wind speed<br />

scaling r<strong>at</strong>io which more favourable; i.e. to have (Uref)m/Uref=βS 1/2 , where β>1. The<br />

usual approach is to distort the density r<strong>at</strong>io ρs/ρref and replace three complete scaling<br />

factors (Ws/Uref, ρs/ρref, (gHref)/U 2 ref) with two physically substitutes. There are several<br />

possibilities, though only combin<strong>at</strong>ion of one from Ws/Uref and FM, together with one<br />

from Ri and FB have generally be used.<br />

In case of a passive emission, defined as one for which the source momentum and<br />

buoyancy parameters, FM and FB, are so small th<strong>at</strong> they have no effect on the behaviour<br />

of the release, we can still use a complete scaling. FM and FB can effectively be set to<br />

zero and then there is no rel<strong>at</strong>ion between model and full scale wind conditions and a<br />

single experiment is sufficient to define concentr<strong>at</strong>ions <strong>at</strong> all wind speeds, since they<br />

will collapse when scaled as C*. The only warning is th<strong>at</strong> there will generally be a<br />

lower limit to the wind speed <strong>at</strong> which the assumption of passive emission condition<br />

fails, since both FM and FB are inversely rel<strong>at</strong>ed to the wind speed; i.e. the emission<br />

velocity Ws must be lower or <strong>at</strong> maximum equal to the wind speed <strong>at</strong> the source height<br />

hs (Obasaju and Robins 1998).<br />

The similarity conditions for the diffusion process can be derived from considering the<br />

non-dimensional form of the molecular diffusion equ<strong>at</strong>ion, for the concentr<strong>at</strong>ion C of a<br />

non-reactive, passive tracer:<br />

∂C<br />

∂t<br />

*<br />

*<br />

+ U<br />

*<br />

i<br />

∂C<br />

∂x<br />

*<br />

*<br />

i<br />

= −<br />

1<br />

Re Sc<br />

∂<br />

∂<br />

2<br />

2<br />

C<br />

x<br />

*<br />

* 2<br />

i<br />

where Sc = ν/α is the Schmidt number, and α is the molecular mass diffusivity. Thus,<br />

the diffusion similarity criteria reduce to the conserv<strong>at</strong>ion of the product ScRe. Since Sc<br />

is a property of the fluid and not of the flow, the same consider<strong>at</strong>ions already seen for<br />

the Peclet and Prandtl numbers in the PBL scaling can be made.<br />

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Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

3.3 The EnFlo Labor<strong>at</strong>ory wind tunnel<br />

The wind tunnel experiments were carried out <strong>at</strong> the boundary layer wind tunnel of the<br />

Environmental Flow Research Centre (EnFlo), University of Surrey, UK. It is a suckthrough<br />

open circuit wind tunnel with an external overall length of 27 m (figure 3-3).<br />

The aerodynamic circuit consists of an axial ventil<strong>at</strong>or th<strong>at</strong> allow to change wind speed<br />

between 0.3 and 4 m/s, an inlet and an outlet convergent, th<strong>at</strong> permit to stabilize the<br />

flow and to balance the various components of turbulence, and a working section.<br />

Dimensions of the working section are 20 m (length), 1.5 m (height), 3.5 m (width). At<br />

the exit and <strong>at</strong> the entry of the working section, honeycomb screens make it possible to<br />

cre<strong>at</strong>e a homogeneous turbulence.<br />

The first twelve meters of the working section are devoted to the establishment of the<br />

ABL. The BL simul<strong>at</strong>ion system consists of vortex gener<strong>at</strong>ors, placed <strong>at</strong> the begin of the<br />

test section, and roughness elements, placed on the floor over a length of a few meters.<br />

The vortex gener<strong>at</strong>ors reproduce the large <strong>scales</strong> of turbulence, while the roughness<br />

element define the lower part of the wind profile.<br />

About seven meters remain for the experimental fetch where flow and concentr<strong>at</strong>ion<br />

measurements downstream of sources and models can be taken; <strong>at</strong> the begin of this<br />

section there is an autom<strong>at</strong>ic turntable, th<strong>at</strong> permit to rot<strong>at</strong>e the model in the desired<br />

orient<strong>at</strong>ion. A computer controlled, 3 axis traverse mechanism is mounted in the wind<br />

tunnel; the geometrical reach of the traverse is 1.5 m and 0.5 m respectively in the<br />

l<strong>at</strong>eral (y) and vertical (z) direction and from 11 to 18 m starting from the inlet of the<br />

tunnel in the downwind direction (x). A mounting mechanism allows an easily<br />

mounting of the instruments. The traverse can be used for all types of measuring<br />

instruments available in the labor<strong>at</strong>ory and for mounting movable sources for <strong>dispersion</strong><br />

experiments.<br />

A <strong>different</strong>ial he<strong>at</strong>ing facility, comprehensive of cooling and he<strong>at</strong>ing panels allows to<br />

simul<strong>at</strong>e both stable and unstable <strong>at</strong>mospheric conditions, although this fe<strong>at</strong>ure was not<br />

used in this study. Reference flow conditions are measured by two ultrasonic<br />

anemometers, one held <strong>at</strong> a fixed loc<strong>at</strong>ion and the other positioned as required; the<br />

motor shaft speed is also measured. Temper<strong>at</strong>ure conditions are monitored by<br />

124


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

thermocouple rakes in the flow and individual thermocouples in each tunnel wall panel.<br />

The pressure drop across the inlet is also monitored, primarily to indic<strong>at</strong>e the st<strong>at</strong>e of the<br />

inlet screens. The wind tunnel and the associ<strong>at</strong>ed instrument<strong>at</strong>ion are fully autom<strong>at</strong>ed<br />

and controlled using ‘virtual instrument’ software cre<strong>at</strong>ed by EnFlo research staff using<br />

LabVIEW.<br />

Research instrument<strong>at</strong>ion includes hot wire, pulsed hot wire and two component (fibre<br />

optic) laser Doppler anemometry, cold wire thermometry, tracer concentr<strong>at</strong>ion<br />

measurement (standard and fast FID systems), high sensitivity pressure measurement,<br />

(fibre optic) laser light sheet, video recording systems (analogue and digital) and<br />

calibr<strong>at</strong>ion equipment.<br />

Figure 3-3 Schem<strong>at</strong>ic of the Enflo meteorological wind tunnel<br />

125


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

3.4 Experimental str<strong>at</strong>egy<br />

Several wind tunnel experiments of pollutant <strong>dispersion</strong> from moving sources were<br />

carried out in this thesis. These experiments were performed <strong>at</strong> the EnFlo wind tunnel in<br />

the framework of the DAPPLE-HO project on a model replic<strong>at</strong>ing an <strong>urban</strong> area in<br />

central London.<br />

Dispersion of Air Pollution and its Penetr<strong>at</strong>ion into the Local Environment – Home<br />

Office CBRN Research Programme (DAPPLE-HO), a 3-year UK Home Office CBRN<br />

funded project, is a continu<strong>at</strong>ion of the DAPPLE-EPRSC project, a 4-year U.K.<br />

Engineering and Physical Sciences Research Council (EPSRC) funded project within<br />

the Engineering for Health, Infrastructure and Environment Programme, (see also<br />

sections 2.6.2 and 2.6.3). The aim of DAPPLE and DAPPLE-HO projects is to provide<br />

a better understanding of pollutant <strong>dispersion</strong> processes in realistic <strong>urban</strong> environments<br />

and make possible improvements in predictive ability enabling better planning and<br />

management of <strong>air</strong> quality. The interdisciplinary approach of the two projects will<br />

enhance understanding of the physical processes affecting the street and neighbourhood<br />

scale flow of <strong>air</strong>, traffic and people, by means of field measurements (meteorology,<br />

roadside <strong>pollution</strong> levels, traffic flow, personal exposure and inert tracer releases), wind<br />

tunnel <strong>modelling</strong> and computer simul<strong>at</strong>ions.<br />

The DAPPLE site (Figure 3-4 left) is loc<strong>at</strong>ed <strong>at</strong> the intersection between Marylebone<br />

Road and Gloucester Place in Central London, UK, with a surrounding study area<br />

approxim<strong>at</strong>ely 250 m in radius. Wind tunnel <strong>modelling</strong> extends to a radius of about 500<br />

m. Marylebone Road is a busy dual carriageway (A501) and forms the northern<br />

boundary of the London Congestion-Charging Zone. Gloucester Place is 3 lanes, oneway<br />

northbound (Baker Street is southbound one block to the East). The roads intersect<br />

perpendicularly and Marylebone Road runs approxim<strong>at</strong>ely WSW-ENE. The average<br />

building height is approxim<strong>at</strong>ely 22 m. As it is a real site, the heights and sizes of the<br />

buildings and streets were all <strong>different</strong> and this strongly influences the pollutant<br />

<strong>dispersion</strong> mechanism within the intersections (see figure 3-4 right).<br />

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Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

Figure 3-4 Aerial view (left) and 3D rendering (right) of the Dapple test site<br />

The DAPPLE-HO wind tunnel studies are carried out <strong>at</strong> the EnFlo labor<strong>at</strong>ory. The<br />

experimental work presented in this thesis includes three series of experiments carried<br />

out <strong>at</strong> the University of Surrey in the framework of this project. The model installed in<br />

the wind tunnel is shown in figure 3-5. This is the simplest DAPPLE site model, where<br />

all buildings have been reduced to simple blocks with fl<strong>at</strong> roofs. The geometrical<br />

scaling factor was 1:200.<br />

Figure 3-5 Several views of the Dapple model in the wind tunnel<br />

127


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

The boundary layer was gener<strong>at</strong>ed using 5 Irwin spires and surface roughness (80mm<br />

wide x 20mm high elements with fixed 240 mm l<strong>at</strong>eral and longitudinal spacing)<br />

upwind of the model (see figure 3-6 ). The tests were carried out with a reference wind<br />

speed (Uref) of about 2.5 m/s. Uref was measured with the ultrasonic anemometer<br />

positioned outside the boundary layer. The BL characteristics were verified in absence<br />

of the model by means of flow measures with Laser Doppler anemometry along the<br />

centreline of the wind tunnel <strong>at</strong> <strong>different</strong> distances from the inlet of the tunnel<br />

(x=12000mm, x=13770, x=14000, x=14400). Mean flow vertical profiles measured and<br />

corresponding logarithmic-law fit are reported in figure 3-6. The wind tunnel set up<br />

allowed to cre<strong>at</strong>e a neutral BL, with a thickness Href of about 1 m, a roughness length<br />

z0/Href equal to 0.003 and a value of u*/Uref approxim<strong>at</strong>ely equal to 0.03.<br />

Figure 3-6 Irwin spires and surface roughness (left) and mean flow vertical profiles<br />

(right) in the EnFlo wind tunnel<br />

The model was oriented using the turntable, and most of the experiments were<br />

performed with a rot<strong>at</strong>ion of −90 o in model coordin<strong>at</strong>es (0 o corresponds to a wind<br />

direction along the X axis of the model – W-E direction; wind direction is positive<br />

clockwise, hence the selected direction is respectively from south, see figure 3-7); the<br />

wind direction was chosen based on field tracer release experiment carried out in the<br />

framework of DAPPLE Project (Arnold et al., 2004).<br />

The main aim of the experiments was to investig<strong>at</strong>e pollutant release from vehicles<br />

sources in terms of mean concentr<strong>at</strong>ions, fluctu<strong>at</strong>ions and dosages in realistic <strong>urban</strong><br />

environments. The experiment<strong>at</strong>ion includes mean concentr<strong>at</strong>ion and concentr<strong>at</strong>ion<br />

fluctu<strong>at</strong>ions measurements, and involves several advanced experimental techniques<br />

described below and in the next sections. Both the street and the neighbourhood <strong>scales</strong><br />

are involved.<br />

128


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

Figure 3-7 Plan view of the Dapple model, showing the model coordin<strong>at</strong>es system<br />

and wind directions analyzed in the experiments<br />

The experimental programme covers two <strong>different</strong> series of experiments. All the series<br />

of experiments concentr<strong>at</strong>e on the characteriz<strong>at</strong>ion of <strong>dispersion</strong> phenomena connected<br />

with the pollutant emission of vehicles travelling along Marylebone Road. Tracer<br />

<strong>dispersion</strong> measurements were carried out in the streets downwind of the emission<br />

sources. In these investig<strong>at</strong>ions, point sources were used to simul<strong>at</strong>e a line source<br />

(traffic emissions can be comparable with linear source placed on the level of the<br />

ground) via m<strong>at</strong>hem<strong>at</strong>ical integr<strong>at</strong>ion. Noting th<strong>at</strong> the concentr<strong>at</strong>ion, δCp, due to a point<br />

source emission, Q, in an element, δs, of a line source of finite length, from s = 0 to s =<br />

S, is the same as would be due to the element itself with line source strength, q<br />

(emission per unit length), where qδs = Q, the nondimensional mean concentr<strong>at</strong>ion <strong>at</strong> a<br />

receptor point due to emissions from a line source, Cline*, can be derived using<br />

nondimensional mean concentr<strong>at</strong>ion <strong>at</strong> a receptor loc<strong>at</strong>ion due to a point emission, Cp*,<br />

by means of the following equ<strong>at</strong>ions.<br />

129


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

δC<br />

C<br />

C<br />

line<br />

line<br />

*<br />

line<br />

C pUH<br />

=<br />

Q<br />

=<br />

∫<br />

0<br />

S<br />

C<br />

=<br />

dC =<br />

line<br />

UH<br />

q<br />

2<br />

∫<br />

q s<br />

. 2<br />

UH<br />

δ<br />

0<br />

S p<br />

=<br />

C UH<br />

Q<br />

∫<br />

0<br />

C UH<br />

ds =<br />

Q<br />

S p<br />

2<br />

qds<br />

.<br />

UH<br />

2<br />

=<br />

∫<br />

0<br />

∫<br />

0<br />

S p<br />

C<br />

S p<br />

Q<br />

C UH<br />

Q<br />

qds<br />

2<br />

ds<br />

H<br />

where U is the reference wind velocity, H is the reference length scale (mean building<br />

height) and S is the length of the line source. The last expression describes, in non<br />

dimensional form, the simul<strong>at</strong>ion of mean concentr<strong>at</strong>ions from a line source in terms of<br />

measurements from a point source; hence, in order to evalu<strong>at</strong>e the mean concentr<strong>at</strong>ion<br />

from a line source is sufficient to measure the mean concentr<strong>at</strong>ions from the point<br />

sources belonging to the line and integr<strong>at</strong>e these values.<br />

The equivalent expression for the variance (cline 2 ) and consequently for the fluctu<strong>at</strong>ions<br />

(cline), can be derived from similar consider<strong>at</strong>ion, by means of the following equ<strong>at</strong>ions:<br />

c<br />

c<br />

=<br />

⎧<br />

∫ ⎨∫<br />

= S S 2<br />

p p<br />

line<br />

0 0<br />

2 *<br />

line<br />

⎩<br />

c ( s')<br />

c ( s''<br />

) ⎫<br />

qds''⎬qds'<br />

Q Q ⎭<br />

130<br />

=<br />

∫<br />

S H<br />

2 2<br />

2<br />

2 2<br />

c UH S H ⎪⎧<br />

c s UH S H s ⎪⎫<br />

line ( ) / p ( ')<br />

( ) /<br />

''<br />

s'<br />

= = ∫ ⎨ ∫ R(<br />

s',<br />

s"<br />

) d ⎬d<br />

2<br />

q<br />

0<br />

2<br />

⎪⎩ Q<br />

0<br />

H ⎪⎭ H<br />

H ⎧<br />

S /<br />

2 *<br />

⎨c<br />

p ( s')<br />

0 ⎩<br />

s''<br />

R(<br />

s',<br />

s"<br />

) d<br />

H<br />

s'<br />

d<br />

H<br />

S /<br />

H<br />

∫ ∫ ⎭ ⎬⎫<br />

0<br />

where R(<br />

s , s'')<br />

c p ( s')<br />

c p ( s''<br />

)<br />

' = is the correl<strong>at</strong>ion coefficient between the fluctu<strong>at</strong>ions of<br />

2<br />

c ( s')<br />

p<br />

two point sources belonging to the line source. Thus, the concentr<strong>at</strong>ion fluctu<strong>at</strong>ions on a<br />

receptor loc<strong>at</strong>ion determined by a line source can be estim<strong>at</strong>ed measuring how change<br />

the correl<strong>at</strong>ion for a point source in a reference position s’, when the other point source<br />

moves along the line emission, and repe<strong>at</strong>ing this procedure for <strong>different</strong> positions of<br />

the reference source.<br />

0<br />

C<br />

*<br />

p<br />

d<br />

s<br />

H<br />

=


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

As a consequence, the contemporary use of two point sources enabled to produce<br />

st<strong>at</strong>istics of the concentr<strong>at</strong>ion (mean and fluctu<strong>at</strong>ing concentr<strong>at</strong>ion) on a receptor<br />

loc<strong>at</strong>ion due to a line source emission. This experimental method, not very used in the<br />

scientific liter<strong>at</strong>ure (usually most of the works uses a uniform line source in order to<br />

simul<strong>at</strong>e vehicle <strong>pollution</strong> emission, see for example Meroney et al. 1996, Kastner-<br />

Klein and Pl<strong>at</strong>e 1999, Soulhac 2000), enabled to establish source-receptor rel<strong>at</strong>ionships<br />

in terms of mean and fluctu<strong>at</strong>ing concentr<strong>at</strong>ion, to simul<strong>at</strong>e non-uniform emissions and,<br />

consequently, to evalu<strong>at</strong>e <strong>different</strong> traffic conditions by giving weightings to various<br />

loc<strong>at</strong>ions on the emission line source and estim<strong>at</strong>ing the dose, D, th<strong>at</strong> is the integral of<br />

the concentr<strong>at</strong>ion with time, to which someone might be exposed due to the passage of a<br />

mobile source along a road.<br />

All these aspects were analyzed in the two <strong>different</strong> series of wind tunnel experiments<br />

carried out in this thesis. The first series (called ‘moving source experiment’) gives<br />

<strong>at</strong>tention, in particular, to the mean concentr<strong>at</strong>ions and rel<strong>at</strong>ed exposure dosages,<br />

deriving from traffic emission in Marylebone Road, while the second series (called<br />

‘correl<strong>at</strong>ion experiment’) focus on concentr<strong>at</strong>ion fluctu<strong>at</strong>ions from vehicles source and,<br />

in particular, was aimed <strong>at</strong> investig<strong>at</strong>ing the correl<strong>at</strong>ion between two point emission<br />

sources; during this phase an original experimental techniques for the evalu<strong>at</strong>ion of the<br />

correl<strong>at</strong>ion coefficient was developed.<br />

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Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

3.5 Tracer <strong>dispersion</strong> experiments<br />

Dispersion measurement <strong>at</strong> the EnFlo labor<strong>at</strong>ory are based on the release of an inert<br />

carrier gas with correct thermodynamic st<strong>at</strong>e properties required by experiment, mixed<br />

with a known concentr<strong>at</strong>ion of a hydrocarbon (‘tracer’), such as propane, and on the<br />

measure of the tracer concentr<strong>at</strong>ion using <strong>air</strong> sampling <strong>at</strong> selected point downstream of<br />

the emission source.<br />

A schem<strong>at</strong>ic of the typical set-up used for tracer concentr<strong>at</strong>ion measurements is shown<br />

in figure 3-8. Three main components can be recognized: the concentr<strong>at</strong>ion measuring<br />

system, the source control system and the computerized control and d<strong>at</strong>a analysis<br />

system.<br />

Figure 3-8 Instrument<strong>at</strong>ion set-up for <strong>dispersion</strong> experiment <strong>at</strong> EnFlo labor<strong>at</strong>ory<br />

The instrument used for the concentr<strong>at</strong>ion measurements is a Fast Flame Ioniz<strong>at</strong>ion<br />

Detector (Fast FID). It is a fast response instrument manufactured by CAMBUSTION,<br />

and is capable of measuring hydrocarbons mean and fluctu<strong>at</strong>ing concentr<strong>at</strong>ion; when in<br />

use <strong>at</strong> measurement loc<strong>at</strong>ion, the FFID can sample the mixture gas through a sampling<br />

tube (figure 3-9). The 3-D traverse mechanism in the wind tunnel (see Figure3-9) was<br />

used to carry the FFID receptor to <strong>different</strong> loc<strong>at</strong>ions; the traverse is able to move in the<br />

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Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

x (along tunnel direction), y (cross-tunnel direction) and z axes (vertical tunnel<br />

direction), and is fully computer controlled.<br />

The FFID oper<strong>at</strong>es on the principle of the ioniz<strong>at</strong>ion of carbon <strong>at</strong>oms during combustion<br />

of a hydrocarbon. A fixed proportion hydrocarbon molecules will be temporarily ionize<br />

as a carbon c<strong>at</strong>ion and an electron. By applying an electrost<strong>at</strong>ic charge over the<br />

combustion volume the electrons will be <strong>at</strong>tracted by the positive pole and an electric<br />

current due to the flux of electrons will be cre<strong>at</strong>ed and the corresponding voltage can be<br />

measured. The voltage is proportional to the concentr<strong>at</strong>ion of hydrocarbons in the gas<br />

mixture. The FFID has to be regularly calibr<strong>at</strong>ed <strong>at</strong> the begin, during and <strong>at</strong> the end of<br />

the experiment; for calibr<strong>at</strong>ion purpose, certified calibr<strong>at</strong>ion gases with a known<br />

reference concentr<strong>at</strong>ion are used. In this experiment<strong>at</strong>ion the FFID calibr<strong>at</strong>ions were<br />

done via an additional calibr<strong>at</strong>ion source placed downstream of the model every two<br />

hours; three known concentr<strong>at</strong>ions of propane in <strong>air</strong> (0, 150, 750 ppm) were passed<br />

through the FFID and the voltages recorded.<br />

Figure 3-9 CAMBUSTION FFID for hydrocarbon concentr<strong>at</strong>ion measurements;<br />

support equipment (left) and head with its sampling tube mounted on the 3-D traverse<br />

in the wind tunnel (right)<br />

The principles of FFID are exactly the same as th<strong>at</strong> of an industry-standard FID; the<br />

main difference is th<strong>at</strong> the measurements in the FFID are done in real time r<strong>at</strong>her than<br />

by means of a storage and retrieval methods used in conventional FID. The real time<br />

oper<strong>at</strong>ion of the FFID implies th<strong>at</strong> the samples are drawn directly into the flame<br />

chamber of the FID by means of a vacuum pump; FFID has a unique sampling system<br />

designed to preserve high frequency fe<strong>at</strong>ures. Depending on the sampling tube length<br />

133


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

and suction r<strong>at</strong>e response time of up to 1000 Hz are possible. Sample tube length of 250<br />

mm is used in this study; the corresponding frequency response of the FFID with such<br />

long tube is in the order of 500 Hz, this was the sampling frequency used for all the<br />

experiments. Two FFIDs head with their support equipment were used during this<br />

experiment<strong>at</strong>ion to reduce the experimental execution time.<br />

In this experiment<strong>at</strong>ion tracer gas concentr<strong>at</strong>ion were measured using an effective<br />

sampling time varying from 3 to 12 min depending on the accuracy needed, i.e. the<br />

correl<strong>at</strong>ion factor measures needed sampling time longer than mean concentr<strong>at</strong>ions and<br />

fluctu<strong>at</strong>ions. The time series of the concentr<strong>at</strong>ions measured are analyzed by means of<br />

Labview measurement software th<strong>at</strong> is able to calcul<strong>at</strong>e the desired quantities, mean<br />

concentr<strong>at</strong>ion and variance.<br />

The background concentr<strong>at</strong>ion of hydrocarbons was recorded every 15 minutes during<br />

the runs by analyzing a sample from an extra sampling tube placed <strong>at</strong> the end of wind<br />

tunnel. This regular checking was important as many things can affect the background,<br />

including activities not directly rel<strong>at</strong>ed with the experimental work. Having these<br />

background readings and the calibr<strong>at</strong>ion curves, the Labview measurement software<br />

was able to take them into account and adjusting results accordingly, during the post<br />

processing analysis.<br />

Speaking of the source control system, <strong>dispersion</strong> experiments in this thesis were<br />

carried out by releasing a neutrally buoyant gas tracer into the flow. The tracer used to<br />

obtain a neutrally buoyant release was a gas mixture of 2% (20000 ppm) of propane in<br />

<strong>air</strong>; this concentr<strong>at</strong>ion was selected for convenience of detection. The source gas was<br />

piped into the wind tunnel and released near the wind tunnel floor via a stack (see figure<br />

3-10). To minimize the interference between the stacks and the incoming flow and to<br />

simul<strong>at</strong>e a passive, ground level point source, the tracer gas was released out of the pipe<br />

via an aerodynamic release arrangement (see figure 3-10), oriented in the direction of<br />

the mean wind tunnel flow and positioned <strong>at</strong> a small distance over the ground (z=10<br />

mm), and with very low initial momentum. To avoid jetting of the tracer flow out of the<br />

stack, the emission flow r<strong>at</strong>e selected for each sources was 2.4 l/min, equivalent to a<br />

release velocity of 0.2 m/s, which can be considered as passive, because it was an order<br />

of 10 lower than the mean flow speed <strong>at</strong> the height source (about 1 m/s with a wind<br />

134


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

tunnel reference speed in the UBL of 2.5 m/s). The flow r<strong>at</strong>e for the sources was<br />

controlled by HITEC flow meters (see figure 3-11). Two HITEC flow meters were<br />

used, one to provide <strong>air</strong> and the other propane; the gases were mixed in a calm chamber<br />

and then delivered. Depending on the series of experiment one or two sources were<br />

used; when 2 sources were used the flow was controlled by the HITEC flow meters and<br />

then split using two rotameters to give equal flow into the two stacks (see figure 3-11).<br />

Figure 3-10 System used for the tracer release: pipes mounted on the 1-D traverse<br />

mechanism (left) and aerodynamic stack (right).<br />

Figure 3-11 Flow control systems: HITEC electronic flow meters (left) and<br />

rotameters (right)<br />

The sources were mounted on a 1D traverse mechanism; this traverse only moved in the<br />

X (model) direction (see figure 3-10). During the experiments there were one or two<br />

stacks mounted on this traverse, depending on the situ<strong>at</strong>ion being investig<strong>at</strong>ed. For the<br />

135


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

correl<strong>at</strong>ion experiments, where two sources were in use, there was an ‘active’ stack and<br />

a ‘passive’ stack with identical internal (di = 8.5mm) and external diameters (de =<br />

10mm). The active stack was powered by the traverse and could move in the positive or<br />

neg<strong>at</strong>ive X direction; while the passive stack was not powered and therefore had to be<br />

pushed into the desired position by the active stack.<br />

A detailed description of the experimental programme used in the three series of<br />

experiments carried out in this thesis was reported, separ<strong>at</strong>ely, in the next paragraphs:<br />

moving source experiment (3.5.1) and correl<strong>at</strong>ion experiment (3.5.2).<br />

3.5.1 Moving source experiments<br />

Moving source experiment was carried out to investig<strong>at</strong>e, in terms of mean<br />

concentr<strong>at</strong>ion and dose, the effect of a moving source on a receptor <strong>at</strong> a particular<br />

loc<strong>at</strong>ion. With the aim of simul<strong>at</strong>ing a traffic line source using point sources, a number<br />

of ground level (Z=10 mm) source loc<strong>at</strong>ions were chosen along Marylebone Road, the<br />

main street in the Dapple model; these were selected so th<strong>at</strong> an acceptable<br />

represent<strong>at</strong>ion of a full ‘line source’ between Balcombe Street (X=-531 mm) and Baker<br />

Street (X=770mm) was obtained (see figure 3-12). Receptor loc<strong>at</strong>ions were then chosen<br />

along streets downwind of the source; only streets th<strong>at</strong> cover the width of the model<br />

were chosen for receptor loc<strong>at</strong>ions, as it was preferred to build up full horizontal<br />

profiles.<br />

To obtain the moving source d<strong>at</strong>a, a stack (providing the source) was placed on a single<br />

axis traverse, th<strong>at</strong> permits to move the source along Marylebone Road. The stack would<br />

move to a source loc<strong>at</strong>ion and remain there whilst the FFID would measure<br />

concentr<strong>at</strong>ions on horizontal profiles or <strong>at</strong> specific points in the desired streets. Once the<br />

measurements were completed for th<strong>at</strong> source loc<strong>at</strong>ion the stack would move by means<br />

of 3-D traverse mechanism to the next source position.<br />

During these experiments, two <strong>different</strong> series of investig<strong>at</strong>ions were carried out; the<br />

first focused on ground level concentr<strong>at</strong>ions, while the second concentr<strong>at</strong>ed on the<br />

comparison between concentr<strong>at</strong>ion measurements <strong>at</strong> <strong>different</strong> heights.<br />

136


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

Figure 3-12 Source and receptor loc<strong>at</strong>ions for the GLC investig<strong>at</strong>ion: -90° (top) and<br />

+90° model orient<strong>at</strong>ion (bottom)<br />

In the first series two model orient<strong>at</strong>ion were analyzed, -90° and +90° model<br />

orient<strong>at</strong>ion. The +90° model orient<strong>at</strong>ion was added to permit the comparison with a<br />

field experiment realized on 11 th November 2004 (Shallcross et al. 2005) and the<br />

analysis of more than one street downwind of the source. This orient<strong>at</strong>ion allows to<br />

137


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

study three <strong>different</strong> parallel streets downwind of the source: Bickenhall Street (Y=<br />

-340mm), York Street (Y=-719mm) and Crawford Street (Y=-1060mm). Ground level<br />

concentr<strong>at</strong>ion measurements were made in the centre of Dorset Square/Melcombe Street<br />

(-90° model rot<strong>at</strong>ion), Bickenhall Street (90°), York Street (90°) and Crawford Street<br />

(90°). Source and receptor loc<strong>at</strong>ions adopted for this investig<strong>at</strong>ion were reported in<br />

figure 3.12.<br />

In the second series only -90° model orient<strong>at</strong>ion and the most relevant receptor loc<strong>at</strong>ions<br />

along Dorset Square/Melcombe Street, determined from the previous investig<strong>at</strong>ion,<br />

were considered; two more point were considered in Dorset Square, to analyze the<br />

<strong>dispersion</strong> effect of the square. Four <strong>different</strong> heights were analyzed: ground level<br />

(Z=10mm), mid canyon height (Z=50mm), roof height of building 1 (Z=90mm) and of<br />

building 3 (Z=160mm). Source and receptor loc<strong>at</strong>ions adopted for this investig<strong>at</strong>ion<br />

were reported in figure 3.13.<br />

The average sampling time has generally been set to about 3 minutes for all the series of<br />

experiments; only ground level concentr<strong>at</strong>ion of the second series were measured with a<br />

longer sampling time (12 minutes), because this measure were also used in the<br />

experimental procedure developed in the correl<strong>at</strong>ion experiments.<br />

Figure 3-13 Map of the Dapple model showing the wind direction, the source and<br />

receptor loc<strong>at</strong>ions studied in the investig<strong>at</strong>ion of concentr<strong>at</strong>ions <strong>at</strong> <strong>different</strong> heights<br />

138


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

3.5.2 Correl<strong>at</strong>ion experiments<br />

In this study an advanced experimental methodology was developed in order to analyze<br />

the correl<strong>at</strong>ion between concentr<strong>at</strong>ion fluctu<strong>at</strong>ions from two point sources belonging to<br />

a line emission. Remembering th<strong>at</strong> concentr<strong>at</strong>ion variance connected with a line source<br />

can be expressed in term of correl<strong>at</strong>ion between the fluctu<strong>at</strong>ions produced by two point<br />

sources (see section 3.4), the measure of these correl<strong>at</strong>ions permits to evalu<strong>at</strong>e the effect<br />

of <strong>different</strong> source loc<strong>at</strong>ions in a line emission in terms of instantaneous concentr<strong>at</strong>ion<br />

(fluctu<strong>at</strong>ions), to estim<strong>at</strong>e expected fluctu<strong>at</strong>ions for <strong>different</strong> driving p<strong>at</strong>tern and,<br />

consequently, to better understand the cause of maximum pollutant exposure levels<br />

achievable in highly congestioned <strong>urban</strong> areas. Despite these facts, investig<strong>at</strong>ion of the<br />

superposition of multiple plumes has not been used before in the scientific community<br />

to study concentr<strong>at</strong>ion fluctu<strong>at</strong>ions connected with traffic emission in <strong>urban</strong> area. The<br />

only piece of scientific liter<strong>at</strong>ure th<strong>at</strong> uses the superposition of multiple sources to<br />

determine the correl<strong>at</strong>ion between fluctu<strong>at</strong>ions produced by the sources is a study by<br />

Warhaft (1984) on the interference of thermal fields from line sources in grid<br />

turbulence. The methodology suggested in this study was applied in the present wind<br />

tunnel work.<br />

The m<strong>at</strong>h basis of the method for the determin<strong>at</strong>ion of the correl<strong>at</strong>ion, used by Warhaft<br />

(1984) and adopted in this work, derive from the following consider<strong>at</strong>ion. If we<br />

consider two point sources loc<strong>at</strong>ed in a turbulent flow the resultant concentr<strong>at</strong>ion<br />

variance,<br />

2<br />

c B , will be:<br />

2<br />

2 2 2<br />

c B = ( c 1 + c2<br />

) = c1<br />

+ c2<br />

+ 2c1c2 where<br />

2<br />

c 1 e<br />

2<br />

c 2 are the concentr<strong>at</strong>ion variances produced by each point source (source 1<br />

usually indic<strong>at</strong>es the reference source) and c1c2 is the correl<strong>at</strong>ion between the<br />

fluctu<strong>at</strong>ions produced by each point source. Consequently, as shown by Warhaft (1984),<br />

the correl<strong>at</strong>ion factor c1c2 may be inferred by oper<strong>at</strong>ing each point source separ<strong>at</strong>ely<br />

(thus determining<br />

2<br />

c 1 and<br />

c ) and then both together (determining ( ) 2<br />

c<br />

2<br />

2<br />

2 2 2<br />

( c + c ) − c c )<br />

1<br />

c1c2 =<br />

1 2 1 −<br />

2<br />

2<br />

139<br />

c + ), thus:<br />

1<br />

2


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

This method is called interference method; the term interference for the variance field is<br />

used in the same sense th<strong>at</strong> it is used in linear wave theory where destructive or<br />

constructive interference may occur depending on the phase rel<strong>at</strong>ion on the two<br />

superposed waves (Warhaft 1984).<br />

For practical deriv<strong>at</strong>ion of the fluctu<strong>at</strong>ions from a line source via m<strong>at</strong>hem<strong>at</strong>ical<br />

integr<strong>at</strong>ion, in this work, the correl<strong>at</strong>ion c1c2 was nondimensionalized dividing this<br />

2<br />

parameter by c 1 , the variance of the source 1, assumed to be the reference source, and<br />

obtaining, thus, the formul<strong>at</strong>ion of the correl<strong>at</strong>ion coefficient requested by integr<strong>at</strong>ion<br />

procedure (see section 3.4):<br />

COR=<br />

1 2<br />

2<br />

c1<br />

( c + c )<br />

2<br />

c c 1 2 − c1<br />

− c<br />

=<br />

2 2c<br />

2<br />

2<br />

1<br />

2<br />

2<br />

Correl<strong>at</strong>ion coefficient, thus obtained, can be either positive or neg<strong>at</strong>ive, thereby<br />

enhancing (constructive interference) or diminishing (destructive interference) the total<br />

concentr<strong>at</strong>ion variance from the combined sources. Its value can be included between -1<br />

(sources perfectly and neg<strong>at</strong>ively correl<strong>at</strong>ed) and 1 (sources perfectly and positively<br />

correl<strong>at</strong>ed); when is equal to 0 the two sources are uncorrel<strong>at</strong>ed.<br />

For the applic<strong>at</strong>ion of the interference method to the present case study, two identical<br />

ground level (Z=10 mm) point sources, mounted to the single axis traverse, were used;<br />

for each source the same emission strength Q, equal to 2.4 l/m with 2% of propane<br />

concentr<strong>at</strong>ion and internal stack diameter di equal to 8.5 mm, were adopted. The aim of<br />

this choice was to have exactly the same release behaviour for both sources; this<br />

condition was necessary to obtain reliable results. Preliminary tests conducted with two<br />

slightly <strong>different</strong> stack diameters, as reported in Fackrell and Robins (1982), showed<br />

th<strong>at</strong> small differences between the initial source diameters can determine gre<strong>at</strong><br />

differences in the level of fluctu<strong>at</strong>ions th<strong>at</strong> developed in the near field (about an order of<br />

10 of magnitude) and heavily affected the results. For these reason gre<strong>at</strong> <strong>at</strong>tention was<br />

dedic<strong>at</strong>ed to the set up of the release system.<br />

The procedure adopted in this series of experiments for the analysis of the correl<strong>at</strong>ion<br />

coefficients on a receptor loc<strong>at</strong>ion can be summarized as follows. Firstly a reference<br />

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Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

source loc<strong>at</strong>ion (source 1) was chosen and the corresponding concentr<strong>at</strong>ion fluctu<strong>at</strong>ion<br />

2<br />

c 1 (obtained oper<strong>at</strong>ing source 1 alone) was measured. Then, with one stack fixed in the<br />

reference loc<strong>at</strong>ion, the other stack was moved incrementally outwards in order to<br />

measure, separ<strong>at</strong>ely, 2<br />

2<br />

c 1 + c2<br />

(oper<strong>at</strong>ing both<br />

sources) and, consequently, evalu<strong>at</strong>e the correl<strong>at</strong>ion for <strong>different</strong> distance between the<br />

sources (separ<strong>at</strong>ion) by means of the interference method; the separ<strong>at</strong>ion to be<br />

investig<strong>at</strong>ed was chosen case by case with the aim of covering all the range of<br />

significant correl<strong>at</strong>ion values. Repe<strong>at</strong>ing this procedure for <strong>different</strong> positions of the<br />

c (oper<strong>at</strong>ing only source 2) and ( ) 2<br />

reference source along the line emission, a d<strong>at</strong>a set of concentr<strong>at</strong>ion fluctu<strong>at</strong>ions ( c ,<br />

c and ( ) 2<br />

c<br />

2<br />

2<br />

c + ) and correl<strong>at</strong>ion values against source separ<strong>at</strong>ions, essential for the<br />

1<br />

2<br />

evalu<strong>at</strong>ion of the concentr<strong>at</strong>ion fluctu<strong>at</strong>ions determined by a line source, was cre<strong>at</strong>ed. A<br />

new code in Labview, th<strong>at</strong> integr<strong>at</strong>e the ‘virtual instrument’ software of the EnFlo<br />

labor<strong>at</strong>ory, was realized on purpose in order to autom<strong>at</strong>ed the procedure for the<br />

evalu<strong>at</strong>ion of the correl<strong>at</strong>ion coefficients, described previously, and to ensure the control<br />

of the two sources involved in the experiments.<br />

Preliminary tests were carried out to verify the method of measure (see also section<br />

3.5.4). The tests showed th<strong>at</strong><br />

2<br />

c 1 ,<br />

c and ( ) 2<br />

c<br />

2<br />

2<br />

c + sampling times equal to 12-minutes<br />

were necessary to obtain reliable calcul<strong>at</strong>ions of the correl<strong>at</strong>ion coefficients; this<br />

measurement time was used during all the correl<strong>at</strong>ion experiments.<br />

Two <strong>different</strong> investig<strong>at</strong>ions were carried out during this set of experiments; firstly a<br />

preliminary work with the undisturbed boundary layer and then an extensive study with<br />

the Dapple model. Only ground level receptor loc<strong>at</strong>ions were analyzed in both<br />

investig<strong>at</strong>ions.<br />

The experiments with the undisturbed boundary layer (UBL) allowed to obtain a<br />

reference case useful to better understand the results with the <strong>urban</strong> model; <strong>different</strong><br />

downstream distances (Y=270 mm, 540mm and 1080 mm) and ground level loc<strong>at</strong>ions<br />

(inline with the source, X=0mm or offset, X=100mm) of the receptors were analyzed.<br />

For comparison purpose, the central downstream distance adopted in this phase (Y=540<br />

mm) was the same of the street investig<strong>at</strong>ed in the following experiments with the<br />

1<br />

141<br />

2<br />

2<br />

1


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

Dapple model. Only one reference source loc<strong>at</strong>ion (X=0mm, Y=0mm and Z=10 mm)<br />

was used in this preliminary experiment.<br />

The experiments with the Dapple model were carried out moving the two point sources<br />

along Marylebone road by means of the 1D traverse mechanism. Only -90° model<br />

orient<strong>at</strong>ion and receptor loc<strong>at</strong>ions along Dorset Square/Melcombe Street (the unique<br />

parallel street to Marylebone Road with this model orient<strong>at</strong>ion) were considered; in<br />

particular, the receptor loc<strong>at</strong>ions previously analyzed with UBL <strong>at</strong> the downstream<br />

distance in model coordin<strong>at</strong>e Y=540, plus the most relevant receptor sites along Dorset<br />

Square/Melcombe Street determined from the moving source experiments (main and<br />

secondary intersections, street canyon and square sites, see section 3.5.1), were studied.<br />

Several reference source loc<strong>at</strong>ions were examined in order to evalu<strong>at</strong>e the influence of<br />

the geometry of the local environment in the determin<strong>at</strong>ion of the correl<strong>at</strong>ion between<br />

concentr<strong>at</strong>ion fluctu<strong>at</strong>ions from two point sources. Combin<strong>at</strong>ions of receptor and<br />

reference source loc<strong>at</strong>ions analyzed in this experiment were reported in figure 3-14.<br />

Contrary to wh<strong>at</strong> we thought initially, the original objective (quantific<strong>at</strong>ion of the<br />

concentr<strong>at</strong>ion fluctu<strong>at</strong>ions of a line source via m<strong>at</strong>hem<strong>at</strong>ical integr<strong>at</strong>ion of the<br />

correl<strong>at</strong>ion coefficient determined by two point sources belonging to the line emission)<br />

was impossible to achieve, because when the reference source moves to a position<br />

where it has a weak signal in comparison with the other source the uncertainty in the<br />

calcul<strong>at</strong>ion of the correl<strong>at</strong>ion coefficient become too high (see section 3.5.4). Although<br />

this difficulty, the methodology applied in this wind tunnel experiment allowed to<br />

establish source-receptor rel<strong>at</strong>ionships in terms of fluctu<strong>at</strong>ing concentr<strong>at</strong>ions for the<br />

most critical emission point in a line source.<br />

142


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

Figure 3-14 Combin<strong>at</strong>ion of receptor and reference source loc<strong>at</strong>ions in the<br />

correl<strong>at</strong>ion experiment: main (top) and secondary intersection along Dorset Square -<br />

Melcombe Road<br />

143


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

3.5.3 Quality assurance of the wind tunnel d<strong>at</strong>a<br />

Fixed and mobile source experiments<br />

The repe<strong>at</strong>ability of the mean concentr<strong>at</strong>ion, C, and variance, c 2 , results was tested with<br />

duplic<strong>at</strong>e measurements from nominally identical but separ<strong>at</strong>ely set up experiments.<br />

Different sampling times (3 and 12 minutes) were also used to demonstr<strong>at</strong>e th<strong>at</strong> the<br />

quality of the results with lower measurement time is s<strong>at</strong>isfactory and longer sampling<br />

time is not needed (figure 3-15). These measurements indic<strong>at</strong>ed th<strong>at</strong> the repe<strong>at</strong>ability of<br />

the mean concentr<strong>at</strong>ion and variance measurements are respectively within ±5% and<br />

±15% for a sampling time of 3 minutes; so, this measurements time was considered<br />

adequ<strong>at</strong>e for the purpose of the experiment<strong>at</strong>ion.<br />

C*<br />

c 2<br />

*<br />

0<br />

-500 -400 -300 -200 -100 0 100<br />

X(mm)<br />

12 minutes 3 minutes<br />

0<br />

-500 -400 -300 -200 -100 0 100<br />

X(mm)<br />

12 minutes 3 minutes<br />

Figure 3-15 Repe<strong>at</strong>ed mean concentr<strong>at</strong>ion (top) and variance (bottom) using<br />

<strong>different</strong> sampling time (arbitrary ±5% and ±15% error bars are shown for reference)<br />

144<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

700<br />

600<br />

500<br />

400<br />

300<br />

200<br />

100


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

Correl<strong>at</strong>ion experiments<br />

Several tests, aimed <strong>at</strong> defining the sampling time and the less time-consuming<br />

procedure required to obtain reliable result, were carried out during this<br />

experiment<strong>at</strong>ion.<br />

Firstly, an error test was realized; the test was designed to investig<strong>at</strong>e the repe<strong>at</strong>ability<br />

of correl<strong>at</strong>ion coefficient measurements and, in particular, the behaviour of the<br />

correl<strong>at</strong>ion error to increasing sampling times. Remembering th<strong>at</strong> the correl<strong>at</strong>ion in this<br />

experiment was inferred using three independent variance measures, the correl<strong>at</strong>ion<br />

error was evalu<strong>at</strong>ed as follows.<br />

2 2 2<br />

( c ( err)<br />

) + c ( err)<br />

( ) ( ( ) ) 2<br />

2 2<br />

+ c<br />

cor err)<br />

= 1<br />

2<br />

B<br />

where<br />

( err<br />

2<br />

c 1 (err),<br />

experiments.<br />

2<br />

c 2 (err) and<br />

2<br />

c B (err) are the errors of<br />

145<br />

2<br />

c 1 ,<br />

2<br />

c 2 and<br />

2<br />

c B , evalu<strong>at</strong>ed during the<br />

Only one experimental configur<strong>at</strong>ion (one combin<strong>at</strong>ion of receptor and reference source<br />

loc<strong>at</strong>ion and a unique separ<strong>at</strong>ion between the sources) was analyzed in this preliminary<br />

test; receptor was placed <strong>at</strong> X=0mm, Y=540mm and Z=10mm, the loc<strong>at</strong>ion of the<br />

reference source was X=0 mm, Y=0mm and Z=10mm and the two sources were kept <strong>at</strong><br />

a fixed separ<strong>at</strong>ion of 25mm. The sampling times considered were 3, 6, 9, 12, 18, 24 and<br />

30 minutes. The results of these tests are shown below.<br />

Figure 3-16 Error test: correl<strong>at</strong>ion coefficient and correl<strong>at</strong>ion error for increasing<br />

sampling time<br />

The results clearly show a downward trend in the correl<strong>at</strong>ion error with increased flow<br />

measurement time. The errors associ<strong>at</strong>ed with 3 and 6 minutes measurement times were


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

too large and didn’t permit to obtain s<strong>at</strong>isfactory repe<strong>at</strong>ability of the correl<strong>at</strong>ion measure<br />

(in both cases larger than ±30%). For example, for a measurements taken with three<br />

minutes measurement time, the correl<strong>at</strong>ion result could lie anywhere between about 0.6<br />

and 1.35 with an absolute error of about 0.3-0.4; the 6-minutes sampling time is<br />

marginally better, but still not s<strong>at</strong>isfactory. 12 minutes seems to be a good compromise<br />

between accuracy and execution time; a longer sampling time doesn’t permit to improve<br />

significantly the accuracy of the results. The need of a sampling time of 12 minutes was<br />

confirmed by subsequent tests; in these tests a complete range of separ<strong>at</strong>ion between the<br />

sources and several combin<strong>at</strong>ions of receptor and reference source loc<strong>at</strong>ion were<br />

analyzed using 3, 6 and 12 minutes measurement times. Some of the results are reported<br />

in the figure 3-17.<br />

Figure 3-17 Repe<strong>at</strong>ed correl<strong>at</strong>ion measurements (left) and rel<strong>at</strong>ive errors (right)<br />

using <strong>different</strong> sampling time: inline with source (top) and offset (bottom) receptor<br />

loc<strong>at</strong>ions<br />

146


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

These tests showed th<strong>at</strong> a 12 minutes sampling time gave significant improvements in<br />

comparison with a three minutes measurement time, especially when the reference<br />

source was not inline with the receptor and its signal was weaker than the moving<br />

source. A fundamental aspect highlighted by these tests was th<strong>at</strong> the correl<strong>at</strong>ion error<br />

turn out to be strongly influenced by the position of reference source; when the<br />

reference source signal on the receptor was <strong>at</strong> least an order of 10 smaller than the other<br />

source, percentage error in the calcul<strong>at</strong>ion of the correl<strong>at</strong>ion coefficient became<br />

unacceptable (larger than 50 % percent). So a careful control of the correl<strong>at</strong>ion error<br />

was planned during the whole experiment<strong>at</strong>ion in order to obtain results characterized<br />

by a repe<strong>at</strong>ability within ±30%; this level of uncertainty, although r<strong>at</strong>her high, was<br />

considered acceptable in wh<strong>at</strong> was an explor<strong>at</strong>ory study using a new experimental<br />

technique and did not affect the n<strong>at</strong>ure of the overall conclusions.<br />

After the preliminary investig<strong>at</strong>ions done with the UBL, a test aimed <strong>at</strong> reducing the<br />

execution time was carried out during the initial phase of the experiments with the<br />

Dapple model. Initially, the measures of<br />

2<br />

c 1 ,<br />

147<br />

c and ( ) 2<br />

c<br />

2<br />

2<br />

c + were taken sequentially<br />

for every separ<strong>at</strong>ion between the stacks; this implied a correl<strong>at</strong>ion measurement time for<br />

each point equal to 36 minutes, too long to obtain an extensive analysis of the <strong>urban</strong><br />

model. The aim of this procedure was to evalu<strong>at</strong>e and, when needed, take into account<br />

the possible interference between the two stacks on the measure of the variances. As<br />

expected and required for the correl<strong>at</strong>ion calcul<strong>at</strong>ion, variance measurements of the<br />

reference source, c1 2 , carried out in this first phase, showed generally constant value<br />

throughout each of the separ<strong>at</strong>ion; an interference between the two stacks can be seen<br />

only <strong>at</strong> extremely close separ<strong>at</strong>ion (about 20 mm), where it is known th<strong>at</strong> the correl<strong>at</strong>ion<br />

coefficient is approxim<strong>at</strong>ely one. So, the correl<strong>at</strong>ion calcul<strong>at</strong>ion was not significantly<br />

affected by the rel<strong>at</strong>ive position of the sources and, consequently, a reduction of the<br />

experimental time was possible measuring the values of<br />

1<br />

2<br />

c 1 ,<br />

2<br />

c and ( ) 2<br />

c<br />

2<br />

2<br />

c + by means<br />

of separ<strong>at</strong>ed experiments and then inferred the correl<strong>at</strong>ion coefficients. This new modus<br />

operandi permitted to halve, and even more, the execution times. The reliability of the<br />

new approach was confirmed by comparison of correl<strong>at</strong>ion profiles measured with the<br />

two <strong>different</strong> procedures (see figure 3-18).<br />

1<br />

2


Chapter 3 Neighbourood/street scale <strong>modelling</strong> by means of wind tunnel methods<br />

Correl<strong>at</strong>ion<br />

-450 -350 -250 -150 -50<br />

-0.2<br />

50 150<br />

Separ<strong>at</strong>ion (mm)<br />

148<br />

1.2<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0.0<br />

Procedure 1 Procedure 2<br />

Figure 3-18 Repe<strong>at</strong>ed correl<strong>at</strong>ion measurements and rel<strong>at</strong>ive errors using <strong>different</strong><br />

measuring procedure: sequential measures (procedure 1) and separ<strong>at</strong>ed experiments<br />

(procedure 2) for c1 2 , c2 2 and cB 2


Chapter 4<br />

4.City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

4.1 Introduction<br />

In the last years, <strong>modelling</strong> pollutant <strong>dispersion</strong> <strong>at</strong> the <strong>urban</strong> scale assumed an<br />

increasing importance in the <strong>air</strong> quality management process; one of the main interests<br />

of <strong>urban</strong> scale modeling is to be able to assess responsibility for existing <strong>air</strong> <strong>pollution</strong><br />

levels in <strong>urban</strong> areas and to evalu<strong>at</strong>e the consequences of long-term policies like<br />

regional, town and transport planning. Physical <strong>modelling</strong> in wind tunnel and field<br />

experiments <strong>at</strong> the city scale is not a practicable method to analyze these problems;<br />

<strong>urban</strong> areas are too large to be modeled entirely in labor<strong>at</strong>ory with the usual scaling<br />

factors or by means of field experiments. For these reasons m<strong>at</strong>hem<strong>at</strong>ical models have<br />

been applied in this thesis for the simul<strong>at</strong>ion of pollutant <strong>dispersion</strong> <strong>at</strong> the city/regional<br />

scale.<br />

In this chapter, we begin by discussing the theoretical basis of m<strong>at</strong>hem<strong>at</strong>ical <strong>dispersion</strong><br />

modeling and describing in detail the m<strong>at</strong>hem<strong>at</strong>ical techniques and codes involved in<br />

this research study (section 4.2); we then present the str<strong>at</strong>egy (4.3) and the phases of the<br />

research study (<strong>modelling</strong> applic<strong>at</strong>ions, section 4.4, model evalu<strong>at</strong>ion, section 4.5, and<br />

scenario analysis, section 4.6) carried out in this thesis.<br />

4.2 Background on m<strong>at</strong>hem<strong>at</strong>ical <strong>dispersion</strong> <strong>modelling</strong><br />

4.2.1 The theoretical basis of m<strong>at</strong>hem<strong>at</strong>ical <strong>dispersion</strong> <strong>modelling</strong><br />

The fundamental problem in <strong>dispersion</strong> <strong>modelling</strong> is to calcul<strong>at</strong>e the instantaneous<br />

concentr<strong>at</strong>ion field of a pollutant c(x, y, z, t), introduced into a domain <strong>at</strong> a mass per<br />

unit time r<strong>at</strong>e Q, given a particular set of boundary conditions for the domain.<br />

149


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Any <strong>dispersion</strong> <strong>modelling</strong> calcul<strong>at</strong>ion is based on an appropri<strong>at</strong>e expression of pollutant<br />

mass conserv<strong>at</strong>ion in the domain. Using an Eulerian approach (see section 2.4.6) and<br />

considering pollutant mass conserv<strong>at</strong>ion applied to a control volume, as follows.<br />

∂c<br />

+ U<br />

∂t<br />

i<br />

2<br />

∂c<br />

∂ c<br />

= −α<br />

+ Q<br />

∂x<br />

∂x<br />

∂x<br />

i<br />

i<br />

i<br />

where Ui is the wind velocity through the control volume, Q refers to sources of<br />

pollutants with the control volume, and α is the molecular diffusivity of the pollutant.<br />

This equ<strong>at</strong>ion together with the Navier-Stokes equ<strong>at</strong>ions of flow provides the<br />

m<strong>at</strong>hem<strong>at</strong>ical basis of <strong>dispersion</strong> <strong>modelling</strong>. A pollutant release is considered to be<br />

‘passive’ if introducing the pollutant does not affect the density of the fluid in which it<br />

disperses (i.e. for sufficiently low values of pollutant concentr<strong>at</strong>ion) and provided th<strong>at</strong><br />

the pollutant is introduced without initial excess momentum. If this is not the case, the<br />

Navier-Stokes equ<strong>at</strong>ions have to be modified to account for the effect of the pollutant<br />

release on the flow field.<br />

An important property of equ<strong>at</strong>ion 4-1 is th<strong>at</strong> is it linear in c, unlike the equ<strong>at</strong>ions of<br />

flow, which are non-linear with respect to velocity. As a result, the concentr<strong>at</strong>ion field<br />

due to multiple sources is equal to the linear superposition (addition) of the<br />

concentr<strong>at</strong>ion fields due to each source separ<strong>at</strong>ely.<br />

Applying Reynolds averaging (averaging of flow quantities done using decomposition<br />

of a flow variable (e.g. velocity (u) into a mean (U) and turbulent component (u′)) on<br />

equ<strong>at</strong>ion 4-1, the expression for the time averaged value of concentr<strong>at</strong>ion C is given by:<br />

2<br />

∂C<br />

∂C<br />

∂ C ∂<br />

+ U i = −α<br />

−<br />

∂t<br />

∂x<br />

∂x<br />

∂x<br />

∂x<br />

i<br />

i<br />

i<br />

( u′<br />

c′<br />

i ) + Q<br />

(I) (II) (III)<br />

i<br />

Dispersion involves pollutant transport, due to ‘advection’ and ‘diffusion’. Advection is<br />

the transport of the pollutants by the mean wind velocity (represented by term I of<br />

Equ<strong>at</strong>ion 4-2). Diffusion allows pollutant spread in additional directions to th<strong>at</strong> of the<br />

mean wind velocity; it is due to turbulent mass transfer (term III), and to molecular<br />

150<br />

4-1<br />

4-2


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

processes (term II), although the l<strong>at</strong>er becomes rel<strong>at</strong>ively insignificant in high Re<br />

number flows.<br />

Dispersion is also a process of pollutant chemical and physical transform<strong>at</strong>ion.<br />

Pollutants may interact with each other chemically, or in the case of particul<strong>at</strong>e<br />

<strong>pollution</strong>, also physically (e.g. particle coagul<strong>at</strong>ion and ground deposition). These<br />

effects can be introduced as additional terms in Equ<strong>at</strong>ion 4-2.<br />

Terms of the form u ′ i c′<br />

can be approxim<strong>at</strong>ed by a rel<strong>at</strong>ion to the mean concentr<strong>at</strong>ion<br />

gradient using the eddy diffusivity concept proposed by Boussinesq:<br />

2<br />

∂(<br />

u′<br />

ic′<br />

) ∂ C<br />

= K i<br />

∂x<br />

∂x<br />

∂x<br />

i<br />

i<br />

i<br />

where Ki is the ‘eddy diffusivity’ in the i-direction. This approxim<strong>at</strong>ion is referred to as<br />

the ‘K-theory’ of turbulent diffusion<br />

Substituting from 4-3, and neglecting the effect of molecular diffusion, Equ<strong>at</strong>ion 4-2<br />

can thus be re-written as:<br />

∂C<br />

+ U<br />

∂t<br />

i<br />

2<br />

∂C<br />

∂ C<br />

= −K<br />

i + Q<br />

∂x<br />

∂x<br />

∂x<br />

i<br />

i<br />

i<br />

often referred to as the ‘advection-diffusion’ equ<strong>at</strong>ion.<br />

K-theory provides a simple method of turbulence closure for diffusion, and is thus very<br />

popular and widely used in the <strong>dispersion</strong> field. However, it has several limit<strong>at</strong>ions.<br />

Only the <strong>scales</strong> of turbulent motion (eddies) th<strong>at</strong> are smaller than the diffusing puff or<br />

plume can be considered. Also, unlike α, Ki is not a property of the fluid, but varies in<br />

time and space, depending on the type of flow, and thus there is no generally applicable<br />

method of specifying eddy diffusivities.<br />

151<br />

4-3<br />

4-4


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Equ<strong>at</strong>ion 4-4 can be solved analytically for simple boundary conditions. For example,<br />

an approxim<strong>at</strong>e solution for an isol<strong>at</strong>ed, continuous point source in an unbounded<br />

uniform flow field of velocity U, ignoring along-wind diffusion, is:<br />

C(<br />

x,<br />

y,<br />

z)<br />

⎡ 2 ⎤<br />

2<br />

Q y ⎡ z ⎤<br />

exp⎢−<br />

⎥ exp⎢−<br />

2<br />

⎥<br />

2πUσ<br />

yσ<br />

z ⎢⎣<br />

2σ<br />

y ⎥⎦<br />

⎣ 2σ<br />

z ⎦<br />

= 2<br />

This solution indic<strong>at</strong>es th<strong>at</strong> the pollutant spreads in the y and z directions as a ‘normal’<br />

or ‘Gaussian’ distribution, with a standard devi<strong>at</strong>ion σy and σz in each direction. Both σy<br />

and σz are rel<strong>at</strong>ed to Ky and Kz of Equ<strong>at</strong>ion 4-3 (by σi 2 = 2Kix/U), however σy and σz are<br />

in practice calcul<strong>at</strong>ed using empirical rel<strong>at</strong>ions, as a function of the distance x from the<br />

source, and <strong>at</strong>mospheric stability conditions (e.g. as reviewed in Arya, 1999). On the<br />

basis of Equ<strong>at</strong>ion 4-5, other solutions can be obtained.<br />

4.2.2 Gaussian model<br />

Gaussian models are based on equ<strong>at</strong>ion 4-5. The basic st<strong>at</strong>ionary Gaussian plume model<br />

is the simplest <strong>air</strong> quality model, and has been applied for several decades. However,<br />

given its simplicity, some consider<strong>at</strong>ions about the applicability must be made. In<br />

particular, such models are valid when:<br />

• The terrain in the sp<strong>at</strong>ial domain is approxim<strong>at</strong>ely fl<strong>at</strong> and the land use does not<br />

change within it.<br />

• The considered point source is sufficiently elev<strong>at</strong>ed.<br />

• Meteorological conditions do not vary too much, both in space and time.<br />

• The boundary-layer conditions are far from the convective case.<br />

These conditions are quite restrictive and the applicability of simple Gaussian model<br />

results very limited. However, Gaussian models have been widely applied, despite these<br />

limit<strong>at</strong>ions. In fact, the basic formul<strong>at</strong>ion can be improved and more complex cases can<br />

be investig<strong>at</strong>ed by means of such models.<br />

152<br />

4-5


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

A first improvement can be made considering the interaction between plume and ground<br />

surface. Starting from eq. 4-5 and changing coordin<strong>at</strong>e system, as described in figure 4-<br />

1, it can be written:<br />

C(<br />

x,<br />

y,<br />

z)<br />

( z h )<br />

⎡ 2<br />

Q y ⎤ ⎡ − s<br />

exp⎢−<br />

⎥ exp⎢−<br />

2<br />

2πUσ<br />

yσ<br />

z ⎢⎣<br />

2σ<br />

y ⎥⎦<br />

⎢⎣<br />

2σ<br />

z<br />

= 2<br />

where hs is the source height.<br />

-<br />

Figure 4-1 Coordin<strong>at</strong>e system for the Gaussian plume model<br />

As st<strong>at</strong>ed above, this description does not take into account for the interaction with the<br />

terrain. Assuming a perfectly reflecting surface as the most conserv<strong>at</strong>ive boundary<br />

condition, addition of an ‘image’ source (see figure 4-2) yields the following reflected-<br />

Gaussian formula:<br />

C(<br />

x,<br />

y,<br />

z)<br />

⎡ 2<br />

Q y ⎤⎪⎧<br />

⎡ − s<br />

exp⎢−<br />

⎥⎨exp⎢−<br />

2<br />

2<br />

2πUσ<br />

yσ<br />

z ⎢⎣<br />

2σ<br />

y ⎥⎦<br />

⎪⎩ ⎢⎣<br />

2σ<br />

z<br />

153<br />

2<br />

⎤<br />

⎥<br />

⎦<br />

2 ( z h ) ⎤ ⎡ ( z + h )<br />

2<br />

s<br />

= 2<br />

2σ<br />

z<br />

⎥ + exp⎢−<br />

⎥⎦<br />

⎢⎣<br />

Equ<strong>at</strong>ion 4-7 can be further improved by considering multiple reflexions on the ground<br />

and the PBL top (see figure 4.2).<br />

⎤⎪⎫<br />

⎥⎬<br />

⎥⎦<br />

⎪⎭<br />

4-6<br />

4-7


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Figure 4-2 Gaussian plume with reflexion and virtual source: single (left) and<br />

multiple reflexions (right)<br />

Other modific<strong>at</strong>ions to the classical Gaussian formul<strong>at</strong>ion can be done by considering<br />

line, area or volume sources. For example, considering and infinite line source along the<br />

y axis, with strength q (g/m/s), an integr<strong>at</strong>ion can be made, and equ<strong>at</strong>ion 4-5 can be<br />

written as:<br />

C(<br />

x,<br />

y,<br />

z)<br />

2<br />

q ⎡ z ⎤<br />

exp⎢−<br />

⎥<br />

2πUσ<br />

⎣ 2σ<br />

z<br />

z ⎦<br />

= 2<br />

Expressions similar to 4-6 and 4-7 for elev<strong>at</strong>ed line sources and with reflexion can be<br />

derived. Concentr<strong>at</strong>ion fields resulting from more realistic finite line and area (obtained<br />

by further integr<strong>at</strong>ion) sources can be derived through numerical integr<strong>at</strong>ion of the point<br />

source formula along the line segment or the source area of interest, using the principle<br />

of superposition (see, e.g., Arya, 1999).<br />

A big limit<strong>at</strong>ion of these simple Gaussian models is the st<strong>at</strong>ionarity of the<br />

meteorological field. Usually, Gaussian models calcul<strong>at</strong>e the concentr<strong>at</strong>ion field<br />

separ<strong>at</strong>ely for each meteorological step (generally 1 hour), in which meteorological<br />

conditions are assumed to be constant. This type of models is ‘without memory’, th<strong>at</strong> is<br />

meteorological fields are calcul<strong>at</strong>ed independently and are not affected by conditions in<br />

154<br />

4-8


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

the previous hours (or <strong>different</strong> time steps). This is not very realistic, and several<br />

modific<strong>at</strong>ions have been proposed for solving this problem.<br />

The first solution is the Gaussian segmented-plume formul<strong>at</strong>ion. In this approach, the<br />

plume is broken up into independent elements (plume segments or sections) whose<br />

initial fe<strong>at</strong>ures and time dynamics are a function of time-varying emission conditions<br />

and the local time-varying meteorological conditions encountered by the plume<br />

elements along their motion. The segmented plume fe<strong>at</strong>ures are illustr<strong>at</strong>ed in figure 4.3,<br />

which shows a plan view (solid lines) of a segmented plume encountering a progressive<br />

change of wind direction along its trajectory. Segments are sections of a Gaussian<br />

plume. Each segment gener<strong>at</strong>es a concentr<strong>at</strong>ion field th<strong>at</strong> is still basically computed by<br />

equ<strong>at</strong>ion (4.5) and th<strong>at</strong> represents the contribution of the entire virtual plume passing<br />

through th<strong>at</strong> segment, as figure 4.3 illustr<strong>at</strong>es.<br />

Figure 4-3 The segmented plume approach (Zannetti, 1990)<br />

Altern<strong>at</strong>ive to the Gaussian plume and segmented-plume formul<strong>at</strong>ions is the Gaussian<br />

puff formul<strong>at</strong>ion. The technique is quite <strong>different</strong>, because the appoach is Lagrangian<br />

r<strong>at</strong>her than Eulerian. Emissions are seen as discrete puffs, released <strong>at</strong> fixed intervals<br />

(time steps). They are fully independent and are advected according the local<br />

meteorological field (which can vary in space and time). The <strong>dispersion</strong> process is<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

assumed to be Gaussian and is tre<strong>at</strong>ed separ<strong>at</strong>ely from the advection. Thus, for each<br />

puff, assuming the origin in its centre, it can be written:<br />

C(<br />

x,<br />

y,<br />

z)<br />

Q<br />

⎛<br />

( ) ⎟ exp⎜−<br />

− −<br />

3 2<br />

⎜ 2 2<br />

2π<br />

σ σ σ 2σ<br />

2σ<br />

2σ<br />

= 2<br />

x y z<br />

x y z<br />

⎝<br />

x<br />

2<br />

y<br />

in which the time-dependent sigma functions σx, σy, and σz (or puff-diffusion<br />

parameters) are, in general, <strong>different</strong> from the plume-<strong>dispersion</strong> parameters. The<br />

concentr<strong>at</strong>ion field is then calcul<strong>at</strong>ed by superposition, considering all the puffs emitted<br />

in the domain.<br />

The accuracy of the Gaussian models, as any other parametric model, depends strongly<br />

on the (semi-)empirical parameters involveld (sigma-functions). First gener<strong>at</strong>ion<br />

Gaussian models used parameteris<strong>at</strong>ions of σy, and σz as function of the downwind<br />

distance (x) and the Pasquill stability classes. The most used parameteris<strong>at</strong>ions of this<br />

type are: the Pasquill-Gifford (P-G) scheme (Pasquill, 1961; Gifford, 1961); the<br />

Brookhaven N<strong>at</strong>ional Labor<strong>at</strong>ory (BNL) scheme (Islitzer and Slade, 1968); the Briggs’<br />

interpol<strong>at</strong>ion formulas (Briggs, 1973), also accounting for the <strong>urban</strong> case. A description<br />

of these schemes can be found in Arya (1999).<br />

Experimental efforts directed towards estim<strong>at</strong>ion of puff-diffusion parameters from<br />

instantaneous or quasi-instantaneous releases have been far fewer than those for<br />

estim<strong>at</strong>ing plume-<strong>dispersion</strong> parameters. These have been reviewed by Islitzer and<br />

Slade (1968), Pasquill and Smith (1983), and Draxler (1984).<br />

More complex models are the so-called second gener<strong>at</strong>ion Gaussian models. They have<br />

been developed in the last two decades, and imply more complex parameteris<strong>at</strong>ions (and<br />

indeed rely on more complex meteorological preprocessors capable of calcul<strong>at</strong>ing the<br />

necessary variables). The new parameteris<strong>at</strong>ions are based on micrometeorological<br />

similarity variables such as the friction velocity and the Monin-Obukhov length, r<strong>at</strong>her<br />

than the Pasquill stability classes. The second gener<strong>at</strong>ion models often abandoned the<br />

Gaussian description of the <strong>dispersion</strong> in the vertical direction for more realistic<br />

schemes.<br />

2<br />

156<br />

z<br />

2<br />

⎞<br />

⎠<br />

4-9


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

The basic Gaussian formul<strong>at</strong>ions described above can be further enhanced to account<br />

for other phenomena, such as: plume rise (buoyant releases or jet releases), building<br />

downwash (entrainment in the wake of an obstacle), settling, dry and wet deposition,<br />

chemical transform<strong>at</strong>ions, and complex terrain.<br />

Detailed descriptions of the Gaussian models used during this thesis will be presented in<br />

the following paragraphs.<br />

SAFE AIR<br />

The SAFE AIR II model (Simul<strong>at</strong>ion of Air <strong>pollution</strong> From Emissions Above<br />

Inhomogeneous Regions, Version II) has been implemented <strong>at</strong> the Department of<br />

Physics of the University of Genova (Italy); it simul<strong>at</strong>es the transport and diffusion of<br />

<strong>air</strong>borne pollutants above complex terrain <strong>at</strong> local and regional scale (Canepa et al.,<br />

2003). SAFE AIR II is included in the Model D<strong>at</strong>abase of the European Topic Centre on<br />

Air Quality of the European Environment Agency (EEA, 2005) and a previous version<br />

of the model has been selected by the Italian Agency for Environmental Protection and<br />

Technical Services (APAT) to be inserted in their list of <strong>air</strong> <strong>pollution</strong> models to be used<br />

in <strong>air</strong> quality evalu<strong>at</strong>ion.<br />

SAFE AIR II consists mainly of three parts: two linked meteorological pre-processors -<br />

WINDS (Wind-field Interpol<strong>at</strong>ion by Non Divergent Schemes, Release 4.2) and ABLE<br />

(Acquisition of Boundary Layer parameters, Release 1.2) - and a model which simul<strong>at</strong>es<br />

the <strong>air</strong>borne pollutant transport and diffusion (P6, Program Plotting P<strong>at</strong>hs of Pollutant<br />

Puffs and Plumes, release 2.1).<br />

WINDS (Georgieva et al., 2003a) is a mass-consistent model developed <strong>at</strong> the<br />

Department of Physics of the University of Genova (Italy). WINDS builds a threedimensional<br />

wind field by the following two steps: first, an initial wind field is<br />

constructed, through an interpol<strong>at</strong>ion procedure, starting from available wind d<strong>at</strong>a <strong>at</strong><br />

given points; then, an adjustment step, based on the vari<strong>at</strong>ional approach (Sasaki, 1970).<br />

WINDS can use <strong>different</strong> initialis<strong>at</strong>ion schemes: ground st<strong>at</strong>ion d<strong>at</strong>a and/or geostrophic<br />

wind, observed vertical profiles (SODAR, etc), profiles coming from larger scale<br />

meteorological models, etc. WINDS is written in conformal coordin<strong>at</strong>es, which are<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

terrain-following just above the terrain and usually fl<strong>at</strong> <strong>at</strong> the top of the simul<strong>at</strong>ion<br />

domain. Conformal coordin<strong>at</strong>es have several advantages with respect to Cartesian<br />

coordin<strong>at</strong>es: the terrain surface is more accur<strong>at</strong>ely represented and, consequently,<br />

simpler boundary conditions can be used which allow a higher resolution near the<br />

terrain surface. WINDS considers the following phenomena: effects due to complex<br />

orography, roughness effect, roughness change, vari<strong>at</strong>ions of the wind direction due to<br />

the Coriolis force, effects due to the <strong>at</strong>mospheric stability, etc. In neutral and stable<br />

<strong>at</strong>mosphere, WINDS uses the formula of the wind profile proposed by Zilitinkevich<br />

(1989).<br />

The ABLE model (Georgieva et al., 2003b) calcul<strong>at</strong>es the horizontal distribution of<br />

relevant boundary layer parameters like mixing height, Monin-Obukhov length, friction<br />

velocity, convective velocity scale, starting from routinely measured meteorological<br />

variables. ABLE is based on the energy balance method to determine the sensible he<strong>at</strong><br />

flux. In diurnal conditions, the scheme by Holtslag and Van Ulden (1983) and Van<br />

Ulden and Holtslag (1985) is used. To take into account for the topographic effects on<br />

the amount of incoming solar radi<strong>at</strong>ion a slope correction factor is included in the<br />

algorithm. In nocturnal conditions, a semi-empirical approach is adopted as in the recent<br />

versions of the CALMET (Scire et al., 2000a) model. Using correction factors<br />

depending on the surface roughness the sensible he<strong>at</strong> flux reference value is extended to<br />

each grid point. The calcul<strong>at</strong>ion of the sensible he<strong>at</strong> flux is strictly connected with the<br />

calcul<strong>at</strong>ion of the friction velocity and the Monin-Obukhov length, which, in turn, are<br />

relevant as far as the mixing height determin<strong>at</strong>ion is concerned. After calcul<strong>at</strong>ing the<br />

cited parameters in the entire simul<strong>at</strong>ion domain, the mixing height can be computed as<br />

a 2D field using <strong>different</strong> formulae for stable (night-time) and convective (day-time)<br />

conditions over land, while a <strong>different</strong> procedure is adopted over sea. Day-time is<br />

defined by an upward (positive) sensible he<strong>at</strong> flux, night-time by a downward (neg<strong>at</strong>ive)<br />

one. The pre-processor uses a slab model for the growth of the mixing height during<br />

day-time conditions as proposed by B<strong>at</strong>chvarova and Gryning (1991). For the<br />

parameteriz<strong>at</strong>ion in night-time conditions the user can select between <strong>different</strong><br />

diagnostic formul<strong>at</strong>ions, among them the Nieuwstadt (1981) formula based on friction<br />

velocity and Monin-Obukhov stability parameter, and the Venk<strong>at</strong>ram (1980) expression<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

based only on the friction velocity. Having already estim<strong>at</strong>ed the sensible he<strong>at</strong> flux and<br />

the mixing height the convective velocity scale is calcul<strong>at</strong>ed following Stull (1988).<br />

P6 (Canepa and R<strong>at</strong>to, 2003a) is a multi-source model mainly designed to simul<strong>at</strong>e the<br />

<strong>air</strong> quality impact <strong>at</strong> local and regional <strong>scales</strong> from point sources; however this model<br />

can also be used for line, area, and volume sources. P6 is a Lagrangian model based on<br />

the basic Gaussian formula. The emitted pollutant is divided into a sequence of<br />

‘elements’, either plume segments or puffs, which are connected together, but whose<br />

dynamics is a function of local meteorological conditions (see figure 4-4). Therefore P6,<br />

while maintains the simplicity of the Gaussian formula, allows to perform numerical<br />

simul<strong>at</strong>ion of both non-st<strong>at</strong>ionary and inhomogeneous situ<strong>at</strong>ions (e.g. <strong>dispersion</strong> above<br />

complex terrain). Plume segments provide a numerically fast simul<strong>at</strong>ion of the<br />

<strong>dispersion</strong> of <strong>air</strong> pollutants near their source, during transport conditions. Puffs allow a<br />

proper simul<strong>at</strong>ion of diffusion, both far from the source and during calm or low-wind<br />

situ<strong>at</strong>ions. Note th<strong>at</strong> the type of element (plume segment or puff) does not affect its<br />

dynamics, but only the comput<strong>at</strong>ion of the concentr<strong>at</strong>ion field. Thus, the dynamics of<br />

elements can be described independently of the type and consists of: 1) Gener<strong>at</strong>ion <strong>at</strong><br />

the source; 2) Plume rise; 3) Advection, i.e. transport by the advective wind; 4)<br />

Diffusion by <strong>at</strong>mospheric turbulence; 5) Possible chemical transform<strong>at</strong>ion (cre<strong>at</strong>ing<br />

secondary pollutant from a fraction of the primary pollutant); 6) Possible ground<br />

deposition (dry and wet); 7) Possible gravit<strong>at</strong>ional settling of coarse particles.<br />

Figure 4-4 Segmented plume or puff represent<strong>at</strong>ion in SAFE AIR<br />

159


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

The Release 2.1 of P6, included in SAFE AIR II, incorpor<strong>at</strong>es advances concerning both<br />

diffusion (item 4) and ground deposition (item 6). Furthermore both dynamical<br />

alloc<strong>at</strong>ion of variables and additional st<strong>at</strong>istical output (calcul<strong>at</strong>ion of average<br />

concentr<strong>at</strong>ion every 15 and 30 minutes, beside every 60 minutes) have been included.<br />

CALPUFF<br />

The CALPUFF <strong>dispersion</strong> model (Scire et al., 2000b) and rel<strong>at</strong>ed models (included the<br />

meteorological pre-processor CALMET) were developed by Sigma Research<br />

Corpor<strong>at</strong>ion (now part of Earth Tech, Inc.); it is one of the recommended models by the<br />

U.S.EPA for regul<strong>at</strong>ory applic<strong>at</strong>ions (USEPA, 2005a). Originally, the development of<br />

the model was supported by the California Air Resources Board (CARB). The<br />

following specific<strong>at</strong>ions were taken into account for the development of the <strong>modelling</strong><br />

system:<br />

• Possibility of tre<strong>at</strong>ing area and point sources with time-varying emissions.<br />

• Applicability of the model within sp<strong>at</strong>ial domains ranging from tens of metres to<br />

hundreds of kilometres from the source.<br />

• Long term simul<strong>at</strong>ions (1 year averages).<br />

• Applicability to either inert or chemically active pollutants.<br />

• Applicability in either fl<strong>at</strong> or complex terrain.<br />

The <strong>modelling</strong> system includes three main components (CALMET, CALPUFF and<br />

CALPOST) and several utilities and pre-processors for the tre<strong>at</strong>ment of standard terrain<br />

and meteorological d<strong>at</strong>a. CALMET is a meteorological pre-processor capable of<br />

estim<strong>at</strong>ing three-dimensional fields of wind and temper<strong>at</strong>ure as well as two-dimensional<br />

parameters such as mixing height, Monin-Obukhov length, friction velocity and other<br />

surface micrometeorological variables. CALPUFF is a second gener<strong>at</strong>ion Gaussian puff<br />

<strong>dispersion</strong> model, parameterising the turbulence characteristics using the parameters<br />

estim<strong>at</strong>ed by CALMET as input. CALPOST is a postprocessing model for the<br />

elabor<strong>at</strong>ion of the CALPUFF output.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

The CALMET meteorological model consists of a diagnostic wind field module and<br />

micrometeorological modules for overw<strong>at</strong>er and overland boundary layers. When using<br />

large domains, the user has the option to adjust input winds to a Lambert Conformal<br />

Projection coordin<strong>at</strong>e system to account for Earth's curv<strong>at</strong>ure. The diagnostic wind field<br />

module uses a two step approach to the comput<strong>at</strong>ion of the wind fields. In the first step,<br />

an initial-guess wind field is adjusted for kinem<strong>at</strong>ic effects of terrain, slope flows, and<br />

terrain blocking effects to produce a Step 1 wind field. The second step consists of an<br />

objective analysis procedure to introduce observ<strong>at</strong>ional d<strong>at</strong>a into the Step 1 wind field to<br />

produce a final wind field. An option is provided to allow gridded prognostic wind<br />

fields to be used by CALMET, which may better represent regional flows and certain<br />

aspects of sea breeze circul<strong>at</strong>ions and slope/valley circul<strong>at</strong>ions.<br />

The <strong>dispersion</strong> model (CALPUFF) is a multi-layer, multi-pollutant non-steady-st<strong>at</strong>e<br />

puff <strong>dispersion</strong> model, capable of simul<strong>at</strong>ing time- and space-varying meteorological<br />

conditions and emissions and <strong>different</strong> type of emission source (point, line, area and<br />

volume source). CALPUFF contains algorithms for near-source effects such as<br />

transitional plume rise, stack-tip downwash, building downwash, partial plume<br />

penetr<strong>at</strong>ion in the inversion layer, subgrid scale terrain interactions as well as pollutant<br />

removal (dry deposition and wet scavenging), chemical transform<strong>at</strong>ions, vertical wind<br />

shear, overw<strong>at</strong>er transport and sea-shore interaction effects. The complex terrain module<br />

implemented in CALPUFF is based on the same approach as the Complex Terrain<br />

Dispersion Model, CTDMPLUS (Perry et al., 1989).<br />

CALINE 4<br />

CALINE4 is a model suitable for <strong>air</strong> <strong>pollution</strong> <strong>modelling</strong> of pollutant emissions from<br />

line sources (Benson, 1989). The CALINE model has been developed by the California<br />

Department of Transport (Caltrans) since the ’70s, and the l<strong>at</strong>est version is CALINE4. It<br />

is based on the first gener<strong>at</strong>ion Gaussian model, and uses the ‘mixing zone’ concept for<br />

the early stages of the diffusion process within streets. The purpose of the model is to<br />

assess <strong>air</strong> quality impacts near transport<strong>at</strong>ion facilities; it is the recommended models by<br />

the U.S.EPA for regul<strong>at</strong>ory applic<strong>at</strong>ions connected with line emission (USEPA, 2005a).<br />

Four types of pollutants can be simul<strong>at</strong>ed: CO, NO2, inert gases and particul<strong>at</strong>e m<strong>at</strong>ter.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

CALINE4 is capable of estim<strong>at</strong>ing concentr<strong>at</strong>ions <strong>at</strong> up to 20 receptors per run. The<br />

input parameters are very limited, and this keeps the model very simple and<br />

straightforward for any user. The model simul<strong>at</strong>es line sources by dividing them in<br />

smaller line sources with axis perpendicular to the wind direction. The length of these<br />

equivalent line sources is determined by the street orient<strong>at</strong>ion with respect to the wind<br />

direction and the receptor loc<strong>at</strong>ion (see figure 4-5).<br />

Concentr<strong>at</strong>ion <strong>at</strong> a given receptor is calcul<strong>at</strong>ed by superposition of all the contributions<br />

from the equivalent line sources, according to the Gaussian formula for finite line<br />

sources. The Gaussian parameter σz is calcul<strong>at</strong>ed accounting for thermal produced,<br />

traffic produced and wind produced turbulence. The first two factors are the most<br />

significant in the mixing zone (figure 4-5), while the l<strong>at</strong>ter prevails further away<br />

(Benson, 1982). The method developed by Draxler (1976) is used for the calcul<strong>at</strong>ion of<br />

σy based on the standard devi<strong>at</strong>ion of the wind direction, σθ.<br />

Figure 4-5 Element series represented by series of equivalent finite line sources<br />

(left) and mixing zone (right) of CALINE4<br />

Up to 20 line sources (links) can be tre<strong>at</strong>ed simultaneously. The input d<strong>at</strong>a to be<br />

provided to the model include: meteorological d<strong>at</strong>a, source d<strong>at</strong>a (streets geometry and<br />

emission factors), other parameters (terrain d<strong>at</strong>a, receptor loc<strong>at</strong>ion, pollutant, etc).<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

ADMS-URBAN<br />

ADMS-Urban <strong>pollution</strong> model is a comprehensive tool for tackling <strong>air</strong> <strong>pollution</strong><br />

problems in cities and towns; it is a model of <strong>dispersion</strong> in the <strong>at</strong>mosphere of pollutants<br />

released from industrial, domestic and road traffic in <strong>urban</strong> areas. ADMS-Urban models<br />

these using point, line, area, volume and grid source. It is designed to allow<br />

consider<strong>at</strong>ion of <strong>dispersion</strong> problems ranging from the simplest (e.g. a single isol<strong>at</strong>ed<br />

point source or a single road) to the most complex <strong>urban</strong> problems; it can be used to<br />

examine emissions from 6000 sources simultaneously, including: road traffic (over<br />

70000 roads links - 1500 road sources each with up to 50 vertices); industrial sources<br />

(up to 1500 point, line, area or volume sources); aggreg<strong>at</strong>ed sources (grid source - up to<br />

3000 grid cells can be used to model emissions from sources th<strong>at</strong> are too small to define<br />

explicitly, for example, emissions from domestic housing). ADMS is used by over 70<br />

UK local authorities for <strong>air</strong> quality review and assessment. The diagram in figure 4-6<br />

shows some of the possible inputs to and outputs from the model, and some of the<br />

<strong>modelling</strong> options available.<br />

Figure 4-6 Schem<strong>at</strong>ic of ADMS-Urban input and output<br />

ADMS-Urban is based on the <strong>dispersion</strong> model ADMS. Both models use a<br />

parameteris<strong>at</strong>ion of the boundary layer physics in terms of boundary layer depth and<br />

Monin-Obukhov length and use a skewed-Gaussian concentr<strong>at</strong>ion profile in convective<br />

meteorological conditions.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

A variety of meteorological d<strong>at</strong>a can be used for input and the form<strong>at</strong> required is very<br />

simple. Wind speed, wind direction and temper<strong>at</strong>ure are required along with cloud<br />

cover, he<strong>at</strong> flux or solar radi<strong>at</strong>ion. The meteorological pre-processor Flowstar calcul<strong>at</strong>es<br />

the necessary boundary layer parameters from the user’s input and allow to obtain<br />

realistic calcul<strong>at</strong>ion of flow and <strong>dispersion</strong> over complex terrain and around buildings.<br />

ADMS-Urban has the following additional fe<strong>at</strong>ures, which make it suitable for<br />

<strong>modelling</strong> an <strong>urban</strong> environment:<br />

• Traffic sources are entered in terms of number, type (cars or lorries), and speed<br />

of vehicles.<br />

• An integr<strong>at</strong>ed street canyon model based on the OSPM model (Berkowicz et al.,<br />

1997).<br />

• Chemical reactions involving NOx, ozone and VOCs based on the GRS (Generic<br />

Reaction Set) scheme.<br />

• Link to an emissions inventory d<strong>at</strong>abase.<br />

The model is most often used in conjunction with a GIS (Geographical Inform<strong>at</strong>ion<br />

System) which allows rapid entry of d<strong>at</strong>a and easy analysis of results.<br />

Source parameters used by the model include: source loc<strong>at</strong>ion d<strong>at</strong>a; road widths and<br />

canyon heights for road sources; stack heights, diameters, exit velocities etc for<br />

industrial sources; and, grid dimensions for aggreg<strong>at</strong>ed emissions d<strong>at</strong>a. Once source<br />

d<strong>at</strong>a have been loaded into the model users can use the GIS link to view the sources as<br />

the part of the input d<strong>at</strong>a valid<strong>at</strong>ion process. The point and road sources are being<br />

modelled explicitly with all other emissions aggreg<strong>at</strong>ed onto grid sources.<br />

Up to 20 diurnal profiles can be included in any <strong>modelling</strong> run to take into account the<br />

diurnal vari<strong>at</strong>ion in traffic flows. Seasonal vari<strong>at</strong>ions can also be included with up to 20<br />

monthly profiles. Vari<strong>at</strong>ion of sources with wind direction particularly useful for <strong>air</strong>port<br />

sources can also be modelled.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

For road sources, the user can enter hourly speed and traffic flow d<strong>at</strong>a into the model<br />

and use ADMS-Urban’s built-in emission factors or, altern<strong>at</strong>ively, the user can enter<br />

pre-calcul<strong>at</strong>ed emissions d<strong>at</strong>a. Both the effect of street canyons, and traffic-induced<br />

turbulence are included when roads are modeled in ADMS-Urban.<br />

In <strong>urban</strong> areas, it is also important to include the aggreg<strong>at</strong>ed emissions from sources th<strong>at</strong><br />

may be too small to define explicitly, but whose aggreg<strong>at</strong>e emissions contribute to<br />

overall <strong>pollution</strong> levels. For example, domestic emissions of NOx from an individual<br />

household may not be known, but the aggreg<strong>at</strong>ed emissions could be calcul<strong>at</strong>ed using<br />

area-wide figures for fuel consumption. In ADMS-Urban, a grid source with up to 3000<br />

grid cells can be included in any run to represent these aggreg<strong>at</strong>ed emissions.<br />

The chemistry scheme is a semi-empirical photochemical model th<strong>at</strong> takes NO, NO2,<br />

rural ozone and one ‘represent<strong>at</strong>ive’ species of hydrocarbon with one r<strong>at</strong>e constant as an<br />

input. In ADMS-Urban the scheme is used in two ways. Firstly, background ozone<br />

levels are calcul<strong>at</strong>ed from a box model and then th<strong>at</strong> background level is used to<br />

calcul<strong>at</strong>e receptor-specific concentr<strong>at</strong>ions using a back trajectory model based on the<br />

average age of pollutants <strong>at</strong> each receptor.<br />

4.2.3 Eulerian grid models<br />

Eulerian grid models are based on the Eulerian description of turbulent <strong>dispersion</strong>. In<br />

particular, the fundamental equ<strong>at</strong>ion of such models is eq. 4-2, usually replaced by eq.<br />

4-4 using the K-theory of turbulent diffusion. Concentr<strong>at</strong>ions are then calcul<strong>at</strong>ed by<br />

numerically solving the equ<strong>at</strong>ion set. Meteorological fields are usually provided by<br />

Eulerian meteorological preprocessors.<br />

The numerical calcul<strong>at</strong>ion is performed in a closed volume, or calcul<strong>at</strong>ion domain,<br />

giving appropri<strong>at</strong>e boundary conditions. Generally this calcul<strong>at</strong>ion is performed by<br />

dividing the domain in sub-domains (or cells) applying a 3-dimensional grid. Equ<strong>at</strong>ion<br />

4-4 is then applied to each cell, and the boundary conditions are given by the<br />

surrounding cells.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

The lower bound of the domain is the ground surface, and generally is not fl<strong>at</strong>. For this<br />

reason, the Cartesian coordin<strong>at</strong>e system is not the best in order to describe the sp<strong>at</strong>ial<br />

domain. More frequently, terrain-following coordin<strong>at</strong>es are used, and the threedimensional<br />

grid is consequently adapted.<br />

Integr<strong>at</strong>ion techniques used to solve the governing equ<strong>at</strong>ions include (Zannetti, 1990):<br />

finite difference methods, finite elements methods, spectral methods, boundary element<br />

methods, particle methods. Finite difference methods (Richtmyer and Morton, 1967) are<br />

the oldest technique. Although they possess several disadvantages, they still represent<br />

the major and most applied (and best understood) numerical tool for this type of<br />

applic<strong>at</strong>ions.<br />

Detailed descriptions of the Eulerian grid models used during this thesis will be<br />

presented here.<br />

CALGRID<br />

CALGRID (Scire et al., 1989) is an advanced Eulerian photochemical grid model<br />

developed and distributed by Earth Tech, Inc. th<strong>at</strong> includes modules for horizontal and<br />

vertical advection/diffusion, dry deposition and a detailed photochemical mechanism.<br />

This model can use the three dimensional meteorlogical fields developer by CALMET,<br />

previously presented in the CALPUFF description.<br />

CALGRID was designed to correct errors in and limit<strong>at</strong>ions of the UAM-IV (Urban<br />

Airshed Model-IV). Specifically, it contains st<strong>at</strong>e-of-the-science improvements<br />

including:<br />

• A horizontal advection scheme based on spectrally-constrained cubics<br />

(Yamartino, 1993) th<strong>at</strong> conserves mass exactly, prohibits neg<strong>at</strong>ive<br />

concentr<strong>at</strong>ions, and exhibits a level of numerical diffusion th<strong>at</strong> is intermedi<strong>at</strong>e<br />

between class E and F (PGT class) <strong>dispersion</strong>.<br />

• A vertical transport and diffusion scheme th<strong>at</strong> incorpor<strong>at</strong>es recent boundary<br />

layer formul<strong>at</strong>ions<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

• A choice of several vertical level spacing schemes including dynamic,<br />

semilogarithmic and arbitrary level spacing. These schemes account for all<br />

vertical flux components with moving or st<strong>at</strong>ionary levels without use of<br />

spurious uz components.<br />

• A full resistance based model for the comput<strong>at</strong>ion of dry deposition r<strong>at</strong>es as a<br />

function of geophysical parameters, meteorological conditions and pollutant<br />

characteristics.<br />

• A chemical integr<strong>at</strong>ion solver based on an adaptive time-step implement<strong>at</strong>ion of<br />

the quasi-steady-st<strong>at</strong>e method of Hesstvedt et al. (1978) and Lamb (1983). This<br />

solver can efficiently and accur<strong>at</strong>ely handle the stiffest of modern schemes.<br />

• Incorpor<strong>at</strong>ion of more modern photochemical reaction schemes, such as the<br />

SAPRC mechanisms, th<strong>at</strong> can more accur<strong>at</strong>ely address the roles of biogenic and<br />

intermedi<strong>at</strong>e chemical products formed over multiday episodes. In the current<br />

version of the model, the user can select between the SAPRC-90 and CB-IV<br />

chemical mechanisms.<br />

• New, structured ANSI 77 FORTRAN code th<strong>at</strong> is highly modular, machine<br />

independent and designed to facilit<strong>at</strong>e a high degree of vectoris<strong>at</strong>ion.<br />

CALGRID essentially utilises the same dynamical equ<strong>at</strong>ions as UAM-IV with the<br />

important exception th<strong>at</strong> density vari<strong>at</strong>ion with height is accounted for in order to ensure<br />

exact mass conserv<strong>at</strong>ion during all of the transport and diffusion oper<strong>at</strong>ions. Other<br />

improvements over UAM include use of oper<strong>at</strong>or reversal to ensure second-order<br />

temporal accuracy; use of three-dimensional space and time varying values of<br />

meteorological parameters such as photolysis coefficients, humidity, diffusivity,<br />

pressure, and temper<strong>at</strong>ure; and on-the-fly comput<strong>at</strong>ion of plume rise and entrainment for<br />

more precise vertical distribution of plume m<strong>at</strong>erial.<br />

CALGRID (Version 1.8) has also been upgraded for regional and multi-day applic<strong>at</strong>ions<br />

(Yamartino et al., 1996) through: estim<strong>at</strong>ion of photolysis r<strong>at</strong>es <strong>at</strong> each grid cell to<br />

correct for vari<strong>at</strong>ion in solar angle across the <strong>modelling</strong> domain; ability to include<br />

photolysis <strong>at</strong>tenu<strong>at</strong>ion due to clouds, columnar haze, and ozone via input of hourly 3D,<br />

UV extinction field; inclusion of map factors to account for wind rot<strong>at</strong>ions from true<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

north (e.g.,, Lambert conformal projections); 1-way nesting to smaller sub-domains;<br />

and, finer time resolution of meteorology.<br />

CAMx<br />

The Comprehensive Air quality Model with extensions (CAMx) is an Eulerian<br />

photochemical <strong>dispersion</strong> model th<strong>at</strong> allows for an integr<strong>at</strong>ed “one-<strong>at</strong>mosphere”<br />

assessment of gaseous and particul<strong>at</strong>e <strong>air</strong> <strong>pollution</strong> (ozone, PM2.5, PM10, <strong>air</strong> toxics,<br />

mercury) over many <strong>scales</strong> ranging from sub-<strong>urban</strong> to continental. It is designed to<br />

unify all of the technical fe<strong>at</strong>ures required of “st<strong>at</strong>e-of-the-science” <strong>air</strong> quality models<br />

into a single system th<strong>at</strong> is comput<strong>at</strong>ionally efficient and publicly available. The model<br />

code has a highly modular and well documented structure which eases the insertion of<br />

new or altern<strong>at</strong>e algorithms and fe<strong>at</strong>ures. The input/output file form<strong>at</strong>s are based on the<br />

Urban Airshed Model and are comp<strong>at</strong>ible with many existing pre- and post-processing<br />

tools.<br />

CAMx simul<strong>at</strong>es the emission, <strong>dispersion</strong>, chemical reaction, and removal of pollutants<br />

in the troposphere by solving the pollutant continuity equ<strong>at</strong>ion for each chemical species<br />

on a system of nested three-dimensional grids. The Eulerian continuity equ<strong>at</strong>ion<br />

describes the time dependency of the average species concentr<strong>at</strong>ion within each grid cell<br />

volume as a sum of all of the physical and chemical processes oper<strong>at</strong>ing on th<strong>at</strong> volume.<br />

Chemistry is tre<strong>at</strong>ed by simultaneously solving a set of reaction equ<strong>at</strong>ions defined from<br />

specific chemical mechanisms. Pollutant removal includes both dry surface uptake<br />

(deposition) and wet scavenging by precipit<strong>at</strong>ion.<br />

CAMx can perform simul<strong>at</strong>ions on three types of Cartesian map projections: Universal<br />

Transverse Merc<strong>at</strong>or, Rot<strong>at</strong>ed Polar Stereographic, and Lambert Conic Conformal.<br />

CAMx also offers the option of oper<strong>at</strong>ing on a curvi-linear geodetic l<strong>at</strong>itude/longitude<br />

grid system as well. Furthermore, the vertical grid structure is defined externally, so<br />

layer interface heights may be specified as any arbitrary function of space and/or time.<br />

This flexibility in defining the horizontal and vertical grid structures allows CAMx to be<br />

configured to m<strong>at</strong>ch the grid of any meteorological model th<strong>at</strong> is used to provide<br />

environmental input fields.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

In addition to the <strong>at</strong>tributes it shares with most photochemical grid models, some of the<br />

most notable fe<strong>at</strong>ures of CAMx are:<br />

• Two-Way Nested Grid Structure: This fe<strong>at</strong>ure allows CAMx to be run with<br />

coarse grid spacing over a wide regional domain in which high sp<strong>at</strong>ial resolution<br />

is not particularly needed, while within the same run, applying fine grid nests in<br />

specific areas where high resolution is needed.<br />

• Multiple Photochemical and Gas Phase Chemistry Mechanism Options: Users<br />

can select among three versions of Carbon Bond IV (CB4) chemistry, or the<br />

1999 version of SAPRC chemistry (CAMx Mechanism 5). SAPRC99 chemistry<br />

was added as an altern<strong>at</strong>e mechanism because it is chemically up-to-d<strong>at</strong>e, has<br />

been tested extensively against environmental chamber d<strong>at</strong>a, and uses a <strong>different</strong><br />

approach for VOC lumping than the CB4 mechanism.<br />

• Tre<strong>at</strong>ment of Particul<strong>at</strong>e M<strong>at</strong>ter: CAMx fe<strong>at</strong>ures a “one-<strong>at</strong>mosphere” tre<strong>at</strong>ment<br />

for ozone and particul<strong>at</strong>e m<strong>at</strong>ter (PM) with detailed algorithms for the relevant<br />

science processes, including aqueous chemistry (RADM-AQ), inorganic aerosol<br />

thermodynamics/partitioning (ISORROPIA), and secondary organic aerosol<br />

form<strong>at</strong>ion/partitioning (SOAP). The particul<strong>at</strong>e chemistry mechanism utilizes<br />

products from the gas-phase photochemistry for production of sulf<strong>at</strong>e, nitr<strong>at</strong>e,<br />

condensible organic gases, and chloride. Currently, the one-<strong>at</strong>mosphere<br />

ozone/PM tre<strong>at</strong>ment is linked to CB4 gas-phase chemistry via a mechanism,<br />

which incorpor<strong>at</strong>es seventeen extra inorganic gas-phase reactions th<strong>at</strong> are<br />

appropri<strong>at</strong>e for any condensed chemical mechanism being used for regional<br />

ozone and regional/annual PM, visibility, mercury, and toxics modeling. CAMx<br />

provides two options for the represent<strong>at</strong>ion of the particle size distribution: a<br />

st<strong>at</strong>ic two-mode coarse/fine (CF) scheme, and the multisectional CMU scheme,<br />

which models the size evolution of each aerosol constituent among a number of<br />

fixed size sections.<br />

• Plume-in-Grid (PiG) Module: CAMx fe<strong>at</strong>ures a PiG sub-model to tre<strong>at</strong> the<br />

chemistry and <strong>dispersion</strong> of point source emission plumes <strong>at</strong> sub-grid <strong>scales</strong>;<br />

individual plume segments are tracked by the Lagrangian module while<br />

undergoing <strong>dispersion</strong> and chemical evolution, until such time as their pollutant<br />

mass should be represented within the grid model framework.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

• Chemical Kinetics Solver Options: ENVIRON has developed a fast and highly<br />

efficient chemistry solver (referred to as the CMC solver) th<strong>at</strong> is based on an<br />

“adaptive-hybrid” approach; rel<strong>at</strong>ive to the standard chemistry solvers for the<br />

CB4 mechanism, this approach results in about a ten-fold speedup in the<br />

chemistry solution and an overall model speedup by a factor of 3 to 4.<br />

Altern<strong>at</strong>ively, users may select the Implicit-Explicit Hybrid (IEH) chemical<br />

solver of Sun, Chock and Winkler (1994).<br />

• Horizontal Advection Solver Options: The Area Preserving Flux-Form<br />

advection solver of Bott (1989) and the Piecewise Parabolic Method (PPM) of<br />

Colella and Woodward (1984) area available in CAMx. These schemes possess<br />

high-order accuracy, little numerical diffusion, and are sufficiently quick for<br />

applic<strong>at</strong>ions on very large grids. Either of these solvers may be selected via the<br />

CAMx run control file.<br />

• Advanced Photolysis Model: The TUV radi<strong>at</strong>ive transfer and photolysis model,<br />

developed <strong>at</strong> the N<strong>at</strong>ional Center of Atmospheric Research (NCAR), is used as a<br />

CAMx preprocessor to provide the <strong>air</strong> quality model with a multi-dimensional<br />

lookup table of photolytic r<strong>at</strong>es by surface albedo, total ozone column, haze<br />

turbidity, altitude, and zenith angle.<br />

• Ozone and Particul<strong>at</strong>e Source Apportionment Technology (OSAT and PSAT):<br />

The OSAT and PSAT allow CAMx to track source region and/or source<br />

c<strong>at</strong>egory contributions to predicted grid cell ozone and particul<strong>at</strong>e concentr<strong>at</strong>ion.<br />

The input d<strong>at</strong>a to be provided to the model include: meteorology d<strong>at</strong>a supplied by a<br />

meteorological model (3-Dimensional Gridded Fields of Horizontal Wind Components,<br />

Temper<strong>at</strong>ure, Pressure, W<strong>at</strong>er Vapor, Vertical Diffusivity, Clouds/Precipit<strong>at</strong>ion),<br />

emission obtained from an emission inventory (NOx, SOx, CO, speci<strong>at</strong>ed VOC and PM<br />

emissions of point Sources and Gridded Sources), geographic d<strong>at</strong>a developed from<br />

maps (land use and terrain elev<strong>at</strong>ion) and photolysis d<strong>at</strong>a derived from s<strong>at</strong>ellite or<br />

radi<strong>at</strong>ive transfer model (Gridded Haze Opacity Codes, Gridded Ozone Column Codes,<br />

Photolysis R<strong>at</strong>es Lookup Table).<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

4.3 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> str<strong>at</strong>egy<br />

M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> has been carried out within the MoDiVaSET-2 project<br />

(MOdellistica DIffusionale per la VAlutazione di Scenari Emissivi in Toscana 2). The<br />

project was funded by the Regional Administr<strong>at</strong>ion of Tuscany and involved the<br />

Dipartimento di Energetica, University of Florence, and the Institute of<br />

Biometeorology, N<strong>at</strong>ional Research Council (CNRIBIMET/ LaMMA). The final aim of<br />

the project was to evalu<strong>at</strong>e <strong>different</strong> emission scenarios of PM10 and NO2 in the<br />

metropolitan area of Florence, Pr<strong>at</strong>o and Pistoia in support of the Air Quality Action<br />

Plan of Tuscany. The project involved the simul<strong>at</strong>ion of complex scenarios <strong>at</strong> the<br />

city/regional scale, with an elev<strong>at</strong>ed number of sources of <strong>different</strong> types (road traffic,<br />

industrial site, domestic he<strong>at</strong>ing, etc.). The studied 49×40 km 2 area is shown in figure 4-<br />

7.<br />

Figure 4-7 Area studied in the MoDiVaSET-2 project<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

The work carried out in this thesis was composed of two phases:<br />

1. A first phase aimed <strong>at</strong> developing an integr<strong>at</strong>ed meteorological and <strong>dispersion</strong><br />

<strong>modelling</strong> system for reliably simul<strong>at</strong>ing <strong>at</strong>mospheric <strong>dispersion</strong> of PM10, NOx,<br />

NO2 and SO2 in the study area. With this purpose, this phase of the study<br />

included several long term (1-year long) <strong>dispersion</strong> <strong>modelling</strong> applic<strong>at</strong>ions and a<br />

detailed model evalu<strong>at</strong>ion study, consisting of model intercomparison,<br />

sensitivity, valid<strong>at</strong>ion and uncertainty analysis.<br />

2. A second phase aimed <strong>at</strong> evalu<strong>at</strong>ing <strong>different</strong> emission scenarios (2003-2012) in<br />

order to supply useful inform<strong>at</strong>ion which can be reliably used by administr<strong>at</strong>ors<br />

and policy makers in the implement<strong>at</strong>ion of the Air Quality Action Plan of the<br />

study area. With this objective, a scenario analysis of the <strong>different</strong> types of<br />

emission sources involved in <strong>urban</strong> area (road traffic, industrial sites and<br />

domestic he<strong>at</strong>ing) was carried out applying the <strong>modelling</strong> system developed in<br />

the first phase of the work.<br />

In the following sections, a description of the techniques used in the two phases of the<br />

projects are reported; firstly the <strong>modelling</strong> applic<strong>at</strong>ions are tre<strong>at</strong>ed (section 4.4), then the<br />

model evalu<strong>at</strong>ion procedure (section 4.5) and, <strong>at</strong> the end, the scenario analysis (section<br />

4.6)<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

4.4 M<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> applic<strong>at</strong>ions<br />

4.4.1 Introduction<br />

Several models have been applied in the framework of the MoDiVaSET-2 project. The<br />

project involved the simul<strong>at</strong>ions of a large number of sources of <strong>different</strong> type: point<br />

(main industries), line (motorways) and grid area sources (other sources). Basing on the<br />

capability of tre<strong>at</strong>ing all the types of source considered in the project and on good<br />

performances of the model in the simul<strong>at</strong>ion of <strong>urban</strong> <strong>air</strong> <strong>dispersion</strong> problem (see for<br />

example Colvile et al. 2002), the initial choice was ADMS-Urban and the simul<strong>at</strong>ions<br />

were mainly carried out using this model. For comparison purpose, simul<strong>at</strong>ions were<br />

also performed by means of CALGRID (simul<strong>at</strong>ion of grid area sources), CALPUFF<br />

(simul<strong>at</strong>ion of point sources), CALINE4 (simul<strong>at</strong>ion of line sources), and SAFE AIR<br />

(simul<strong>at</strong>ion of point and line sources). Combin<strong>at</strong>ions of these models permitted to<br />

obtain chains of models capable to simul<strong>at</strong>e the pollutant <strong>dispersion</strong> in <strong>urban</strong> area. In<br />

order to compare results from <strong>different</strong> models and approaches, the following <strong>modelling</strong><br />

system were carried out in this thesis:<br />

1. ADMS-Urban (‘ADMS’)<br />

2. CALGRID-CALPUFF-CALINE4 (‘CGPL’, superposition of the results deriving<br />

from CALGRID for the grid area sources, CALPUFF for the point sources and<br />

CALINE4 for the line sources)<br />

3. CALGRID-SAFE AIR (‘CGSA’, superposition of the results deriving from<br />

CALGRID for the grid area source and SAFE_AIR for the point and line<br />

sources)<br />

The full year 2002 time period was chosen, using a 1-hour time step, thereby all models<br />

were applied in a long-term mode.<br />

The regional background concentr<strong>at</strong>ions were included in the simul<strong>at</strong>ions using the<br />

monitored concentr<strong>at</strong>ions of the peripheral background site of Livorno-Maurogord<strong>at</strong>o; it<br />

is acknowledged by the regional administr<strong>at</strong>ion as the reference regional background<br />

site (see PATOS project, Particol<strong>at</strong>o Atmosferico in TOScana).<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

All the simul<strong>at</strong>ions were realized without considering chemistry mechanisms, except for<br />

NO2, where the NOx-NO2 empirical correl<strong>at</strong>ion of Derwent. and Middleton (1996) was<br />

applied; in this approach, derived from st<strong>at</strong>istical analysis of the correl<strong>at</strong>ion between<br />

NOx-NO2 in <strong>urban</strong> areas of the UK, the concentr<strong>at</strong>ion of NO2 is calcul<strong>at</strong>ed from NOx<br />

emissions using the following function where concentr<strong>at</strong>ions are hourly-averaged<br />

concentr<strong>at</strong>ions in ppb ([NO2] and [NOx]).<br />

2<br />

3<br />

[ NO ] = 2. 166 − ( 1.<br />

236 − 3.<br />

348A<br />

+ 1.<br />

933A<br />

− 0.<br />

326A<br />

)[ NO ]<br />

2<br />

Full chemistry option was investig<strong>at</strong>ed by another research group of the Dipartimento di<br />

Energetica, University of Florence, using CAMx. The result were used in this thesis in<br />

order to compare d<strong>at</strong>a from simul<strong>at</strong>ions with pollutants tre<strong>at</strong>ed as inert substances and<br />

models with complete chemical mechanisms; in the CAMx applic<strong>at</strong>ion the line sources<br />

were aggreg<strong>at</strong>ed with the grid area source.<br />

For all the model applic<strong>at</strong>ions the receptors were loc<strong>at</strong>ed on a 1×1 km 2 comput<strong>at</strong>ional<br />

grid <strong>at</strong> a height of 10 m (1960 points). For the Gaussian models (CALPUFF, SAFE AIR<br />

and ADMS-URBAN), concentr<strong>at</strong>ions were also evalu<strong>at</strong>ed <strong>at</strong> additional receptors<br />

loc<strong>at</strong>ed <strong>at</strong> 3 m from the ground in correspondence of the monitoring st<strong>at</strong>ions within the<br />

studied area, while for the Eulerian grid models (CALGRID, CAMx) the concentr<strong>at</strong>ion<br />

in a monitoring st<strong>at</strong>ion site was evalu<strong>at</strong>ed using the concentr<strong>at</strong>ion calcul<strong>at</strong>ed by the<br />

models in the corresponding grid cell.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

4.4.2 D<strong>at</strong>a pre- and post-processing<br />

Two fundamental phases in a model applic<strong>at</strong>ion procedure are:<br />

1. the collection and the pre-processing of the input d<strong>at</strong>a<br />

2. the post-processing of the model results.<br />

Referring to the collection of the model input, the c<strong>at</strong>egories of necessary d<strong>at</strong>a for the<br />

applic<strong>at</strong>ion of a m<strong>at</strong>hem<strong>at</strong>ical <strong>dispersion</strong> model are essentially three:<br />

a. geographic d<strong>at</strong>a (orography and roughness length),<br />

b. emission d<strong>at</strong>a (localis<strong>at</strong>ion and quantific<strong>at</strong>ion of specific sources, emission<br />

inventory),<br />

c. meteorology d<strong>at</strong>a (standard observ<strong>at</strong>ions, micrometeorological parameters,<br />

remote sensing d<strong>at</strong>a, meteorological variables derived from high resolution<br />

meteorological models).<br />

In these thesis, terrain elev<strong>at</strong>ion and roughness d<strong>at</strong>a were derived from terrain and land<br />

use/landcover maps of the Tuscan Region, according to the comput<strong>at</strong>ional grid used by<br />

the <strong>dispersion</strong> models (1×1 Km 2 spaced cell grid).<br />

Meteorological d<strong>at</strong>a were derived from measurements of six meteorological st<strong>at</strong>ions<br />

within the study domain (PO-Baciacavallo, FI-Monte Morello, Empoli, Montale, FI-<br />

Ximeniano and FI-Peretola Airport, see figure 4-8) and from vertical profiles of wind<br />

and temper<strong>at</strong>ure retrieved from the RAMS forecasting system archive of CNR-<br />

IBIMET/LaMMA (see also Corti, A. et al., 2006); this d<strong>at</strong>a are referred to the full year<br />

2002. A suitable scaling to the 1×1 km 2 final working resolution was performed by<br />

using the CALMET meteorological model. This model permitted to obtain all the<br />

meteorological variables necessary for the <strong>modelling</strong> system involved in this work: 3-<br />

Dimensional Gridded Fields of horizontal wind components, temper<strong>at</strong>ure and pressure,<br />

and 2-D fields of micrometeorological variables (Monin Obukhov length, He<strong>at</strong> sensible<br />

flux, PGT stability class and PBL height). The results were directly used as input for the<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

CALGRID and CALPUFF simul<strong>at</strong>ions, while a further elabor<strong>at</strong>ion proved to be<br />

necessary for the other models. As explained in the following subsections<br />

meteorological d<strong>at</strong>a were tre<strong>at</strong>ed in <strong>different</strong> ways, depending on the model to be used.<br />

Figure 4-8 Meteorological st<strong>at</strong>ions for the MoDiVaSET-2 project<br />

Emissions were retrieved from the Tuscan Regional Emission Source Inventory (IRSE-<br />

RT, 2001) according to an hour-by-hour time disaggreg<strong>at</strong>ion. PM10 (primary only), NOx<br />

and SOx were the chosen pollutant species. Three source c<strong>at</strong>egories have been<br />

considered: main point sources (stacks of the main industries), main line sources<br />

(motorways) and other sources tre<strong>at</strong>ed as grid area sources. Figure 4-9 reports a map of<br />

the 15 industrial plants included in the study; many of them have several stacks, thus the<br />

total number of point sources is increased to 87. The considered line sources are<br />

reported in figure 4-10. As reported earlier, they are the motorways of the study area<br />

(A1 and A11 motorways). Emissions were provided according to junction-to-junction<br />

sp<strong>at</strong>ial disaggreg<strong>at</strong>ion. Figures 4-11, 4-12 and 4-13 report the annual line source<br />

emission r<strong>at</strong>e for the three pollutants. The grid sources include all other emission<br />

sources not considered in the point and line sources groups. Area emissions were<br />

provided according to a 1×1 Km 2 spaced cell grid exactly m<strong>at</strong>ching the comput<strong>at</strong>ional<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

one used by the meteorological and <strong>dispersion</strong> models. A total number of 1960 grid<br />

cells were used. Figures 4-14, 4-15 and 4-16 report the annual emission r<strong>at</strong>e for the 3<br />

pollutants.<br />

Figure 4-9 Point sources included in the IRSE-RT, 2001<br />

Figure 4-10 Line sources included in the IRSE-RT, 2001<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Figure 4-11 Annual NOx emission of line sources (Mg/km year) included in the<br />

IRSE-RT 2001<br />

Figure 4-12 Annual PM10 emission of line sources (Mg/km year) included in the<br />

IRSE-RT 2001<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Figure 4-13 Annual SOx emission of line sources (Mg/km year) included in the<br />

IRSE-RT 2001<br />

Figure 4-14 Annual NOx emission of grid area sources (kg/km 2 year) included in<br />

the IRSE-RT 2001<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Figure 4-15 Annual PM10 emission of grid area sources (kg/km 2 year) included in<br />

the IRSE-RT 2001<br />

Figure 4-16 Annual SOx emission of grid area sources (kg/km 2 year) included in<br />

the IRSE-RT 2001<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Referring to the post-processing of the model outputs, two <strong>different</strong> types of results<br />

were usually carried out in a model applic<strong>at</strong>ion for each <strong>air</strong> quality indic<strong>at</strong>or and<br />

pollutant of interest:<br />

• contour maps<br />

• tables of results in significant receptor points within the study area (monitoring<br />

st<strong>at</strong>ion, highly popul<strong>at</strong>ed area, etc.)<br />

Considering the purpose of the first part of the project (development of a reliable<br />

<strong>modelling</strong> system to be used for scenario analysis) and according to the actual European<br />

Air Quality legisl<strong>at</strong>ion, the work concentr<strong>at</strong>ed on the annual concentr<strong>at</strong>ion values of<br />

NOx, NO2, SO2 and PM10. For these indic<strong>at</strong>ors, contour maps and table of concentr<strong>at</strong>ion<br />

values in correspondence of the monitoring st<strong>at</strong>ions were carried out; the contour maps<br />

were obtained using the Kriging interpol<strong>at</strong>ion algorithm of ArcGis.<br />

For CALPUFF, CALGRID and ADMS-Urban the extrapol<strong>at</strong>ion of the desired<br />

indic<strong>at</strong>ors was realized using the post-processors included in these <strong>modelling</strong> system,<br />

while for the other models post-processing algorithms where cre<strong>at</strong>ed ad hoc, as<br />

described in- depth in the following subsections.<br />

ADMS-Urban applic<strong>at</strong>ion<br />

ADMS-Urban has a meteorological pre-processor able to calcul<strong>at</strong>e wind fields and other<br />

variables over the considered domain. However, the CALMET output cannot be directly<br />

used as input to the model. The CALMET output consists of a series of meteorological<br />

variables calcul<strong>at</strong>ed on a regular grid of points. One of these points was chosen as a<br />

‘virtual’ meteorological st<strong>at</strong>ion. It is loc<strong>at</strong>ed approxim<strong>at</strong>ely <strong>at</strong> the intersection between<br />

the A1 and the A11 motorways (see, for example, figure 4-10). The following d<strong>at</strong>a have<br />

been used: wind speed, wind direction, temper<strong>at</strong>ure, Monin-Obukhov length and mixing<br />

height. For sensitivity purpose, during this work simul<strong>at</strong>ions were also carried out using<br />

standard observ<strong>at</strong>ions of one of the meteorological st<strong>at</strong>ions (PO-Baciacavallo) within<br />

the study area (wind velocity and direction, temper<strong>at</strong>ure, global and net radi<strong>at</strong>ion); in<br />

this case micrometeorological variables were evalu<strong>at</strong>ed directly from the meteorological<br />

pre-processor of ADMS-Urban using the global radi<strong>at</strong>ion and clouds coverage measured<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

<strong>at</strong> the meteorological st<strong>at</strong>ion. PO-Baciacavallo meteorological st<strong>at</strong>ions was selected<br />

between all the monitoring site within the study domain because it has the most<br />

complete hourly time series d<strong>at</strong>a and it is loc<strong>at</strong>ed in the central position of the study area<br />

(see figure 4-8).<br />

ADMS-Urban can tre<strong>at</strong> a variable-emission grid source, but the vari<strong>at</strong>ion must be the<br />

same for all the grid cells. Thus the hourly profiles were recalcul<strong>at</strong>ed using an ‘average’<br />

profile and then normalised in order to have the same overall emission for each<br />

pollutant. No adjustments were made for the point and line sources.<br />

CALINE4 applic<strong>at</strong>ion<br />

CALINE4 does not have a meteorological pre-processor. As in the case of ADMS-<br />

Urban, it was then decided to use 24 CALMET points chosen along the motorways.<br />

Since only one set of meteorological d<strong>at</strong>a can be fed to the model, the <strong>modelling</strong> domain<br />

was divided in 24 sub-domains, each with its own meteorological input. The 24 ‘virtual’<br />

meteorological st<strong>at</strong>ions are reported in figure 4-17.<br />

Figure 4-17 Virtual meteorological st<strong>at</strong>ions used for the CALINE4 simul<strong>at</strong>ions<br />

The meteorological input d<strong>at</strong>a set includes: wind speed, wind direction, temper<strong>at</strong>ure,<br />

rel<strong>at</strong>ive humidity, stability class, mixing height and standard devi<strong>at</strong>ion of the wind<br />

direction (σθ). All these parameters were calcul<strong>at</strong>ed by CALMET, except σθ, which was<br />

estim<strong>at</strong>ed using the following table.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

STABILITY CLASS σθ<br />

A<br />

B<br />

C<br />

D<br />

E<br />

F<br />

Table 4-1 Estim<strong>at</strong>ion of the standard devi<strong>at</strong>ion of the wind direction based on the<br />

stability class<br />

183<br />

25<br />

20<br />

15<br />

10<br />

5<br />

2.5<br />

Figure 4-18 Pre- and post-processing for the CALINE4 simul<strong>at</strong>ions in the<br />

MoDiVaSET project


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

CALINE4 is a simple Gaussian model and thus it is not applicable in case of wind calm<br />

(the reference manual sets a limit of 0.5 m/s). A maximum of 6% of the available d<strong>at</strong>a<br />

in the 24 CALMET point was wind calm. Wind calms were tre<strong>at</strong>ed as suggested in the<br />

reference manual, setting the wind speed to 0.5 m/s.<br />

Another difficulty in the applic<strong>at</strong>ion of CALINE4 comes from the fact th<strong>at</strong> 20 receptors<br />

is the maximum number allowed. For some of the sub-domains, thus, more than one<br />

simul<strong>at</strong>ion was necessary in order to have the same receptors described in the previous<br />

subsection.<br />

Given the large amount of d<strong>at</strong>a to be tre<strong>at</strong>ed, pre- and post- processing procedures<br />

became necessary. Figure 4-18 shows a schem<strong>at</strong>ic of the applied procedure (using MS-<br />

DOS b<strong>at</strong>ch files and MATLAB algorithms).<br />

SAFE AIR applic<strong>at</strong>ion<br />

As explained earlier, SAFE AIR has its own meteorological pre-processors. However,<br />

in order to have consistent results, it was decided to adopt the same methodology used<br />

in the ADMS-Urban and CALINE4 simul<strong>at</strong>ions. Thus, the WINDS meteorological preprocessor<br />

was fed by d<strong>at</strong>a from 8 of the 24 available CALMET points (see figure 4-19).<br />

The following d<strong>at</strong>a have been used: wind speed, wind direction, stability class, mixing<br />

height, temper<strong>at</strong>ure. Thus, simul<strong>at</strong>ions using ABLE were not necessary. Receptors were<br />

loc<strong>at</strong>ed as in the previous simul<strong>at</strong>ions.<br />

NOx and SOx were tre<strong>at</strong>ed as inert gases, while settling velocity (Vs) and deposition<br />

velocity (Vd) were set, respectively, to 0.01 cm/s and 0.2 cm/s (Maggi, 2002) for PM10.<br />

The PGT σ-functions were used for the simul<strong>at</strong>ions.<br />

Given the large amount of d<strong>at</strong>a to be tre<strong>at</strong>ed, also in this case pre- and postprocessing<br />

procedures became necessary. Figure 4-20 shows a schem<strong>at</strong>ic of the applied procedure<br />

(using MS-DOS b<strong>at</strong>ch files and MATLAB algorithms).<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Figure 4-19 Virtual meteorological st<strong>at</strong>ions used for the SAFE AIR simul<strong>at</strong>ions<br />

Figure 4-20 Pre- and post-processing of SAFE AIR in the MoDiVaSET project<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

4.5 Model evalu<strong>at</strong>ion<br />

4.5.1 Introduction<br />

Model evalu<strong>at</strong>ion was performed in order to evalu<strong>at</strong>e simul<strong>at</strong>ion results and compare the<br />

<strong>different</strong> approaches used within the project; the final purpose of this study was the<br />

determin<strong>at</strong>ion of the most suitable model for the scenario analysis. The results of the<br />

simul<strong>at</strong>ions were compared to measured d<strong>at</strong>a of the year 2002, provided by the<br />

monitoring networks of the three Provinces involved: Florence, Pr<strong>at</strong>o and Pistoia. 25<br />

monitoring st<strong>at</strong>ions are present in the study area (see figure 4-21): 17 background and 9<br />

roadside sites; 24 (15 background and 9 roadside) able to measure NO2 and NOx<br />

concentr<strong>at</strong>ions, 15 (9 background and 6 roadside) able to measure PM10 and only 9 (7<br />

background and 2 roadside) SO2 concentr<strong>at</strong>ions. Following the indic<strong>at</strong>ion of the<br />

scientist community described in the section 2.9, the evalu<strong>at</strong>ion work carried out in this<br />

thesis included: sensitivity study, valid<strong>at</strong>ion exercise and uncertainty analysis. Both<br />

explor<strong>at</strong>ory analysis of the d<strong>at</strong>a and advanced st<strong>at</strong>istical techniques were used in this<br />

work; st<strong>at</strong>istical analysis focus, in particular, on NO2, NOx and PM10, because only for<br />

these pollutant the reference d<strong>at</strong>a (monitoring d<strong>at</strong>a) were quantit<strong>at</strong>ively significant from<br />

a st<strong>at</strong>istical point of view.<br />

Figure 4-21 Monitoring st<strong>at</strong>ions in the MoDiVaSET domain<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

4.5.2 Valid<strong>at</strong>ion and sensitivity analysis<br />

As discussed in the section 2.9, valid<strong>at</strong>ion is the process of showing th<strong>at</strong> the<br />

m<strong>at</strong>hem<strong>at</strong>ical models provide an adequ<strong>at</strong>e represent<strong>at</strong>ion of the problem, while<br />

sensitivity analysis is the process of identifying the magnitude of an individual<br />

parameter effect on model results.<br />

In this thesis valid<strong>at</strong>ion procedure were applied with the purpose of evalu<strong>at</strong>e the<br />

performance of several <strong>modelling</strong> systems and between them determine the most<br />

suitable model to be adopted for the scenario analysis; while the sensitivity analysis was<br />

aimed <strong>at</strong> calibr<strong>at</strong>ing the models by means of the identific<strong>at</strong>ion of the most sensitive<br />

parameters and their effects on model results. This second analysis was carried out only<br />

for ADMS-Urban.<br />

Although the aim of these two processes is quite <strong>different</strong>, in this work they were<br />

carried out by means of the same procedure, th<strong>at</strong> is the comparison of model results<br />

with monitoring d<strong>at</strong>a. Both explor<strong>at</strong>ory analysis of the d<strong>at</strong>a and advanced st<strong>at</strong>istical<br />

techniques were used in this work.<br />

Traditionally, model predictions are directly compared to observ<strong>at</strong>ions. As described by<br />

ASTM (2000) model evalu<strong>at</strong>ion guidelines, this direct comparison method may cause<br />

misleading results, because (1) <strong>air</strong> quality models almost always predict ensemble<br />

means, but observ<strong>at</strong>ions represent single realiz<strong>at</strong>ions from an infinite ensemble of cases<br />

under the same conditions; and (2) the uncertainties in observ<strong>at</strong>ions and model<br />

predictions arise from <strong>different</strong> sources. For example, the uncertainty in observ<strong>at</strong>ions<br />

may be due to random turbulence in the <strong>at</strong>mosphere and measurement errors, whereas<br />

the uncertainty in model predictions may be due to input d<strong>at</strong>a errors and model physics<br />

errors. Therefore, an altern<strong>at</strong>ive approach has been proposed by the ASTM to compare<br />

observ<strong>at</strong>ions and model predictions for <strong>dispersion</strong> models (ASTM, 2000). The approach<br />

calls for properly averaging the observ<strong>at</strong>ions before comparison; the ASTM procedure,<br />

in particular, suggest calcul<strong>at</strong>ion of the performance measures based on regime averages<br />

(i.e., averaging over all experiments within a regime), r<strong>at</strong>her than the values for<br />

individual experiments.<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Having this framework in mind and considering the goals of the project, in this thesis,<br />

we decide to perform valid<strong>at</strong>ion and sensitivity analysis based only on annual mean<br />

concentr<strong>at</strong>ion than the hourly time series; in this way, we were able to apply a regime<br />

averages as suggested by the ASTM methodology.<br />

Before beginning the calcul<strong>at</strong>ion of various st<strong>at</strong>istical performance measures, it is<br />

extremely useful to perform explor<strong>at</strong>ory d<strong>at</strong>a analysis by simply plotting the d<strong>at</strong>a in<br />

<strong>different</strong> ways. The human eye can often glean more valuable insights from these plots<br />

than pure st<strong>at</strong>istics, especially since many of the st<strong>at</strong>istical measures depend on linear<br />

rel<strong>at</strong>ions; these plots can also provide clues as to why a model performs in a certain way<br />

(Chang and Hanna 2004). For these reason some of the most commonly-used plots were<br />

carried out in this thesis:<br />

1. Sc<strong>at</strong>ter plot: in a sc<strong>at</strong>ter plot, the p<strong>air</strong>ed observ<strong>at</strong>ions and predictions are plotted<br />

against each other. Visual inspection can reveal the magnitude of the model’s<br />

over or underpredictions. Also, as implied by its name, the sc<strong>at</strong>ter of the points<br />

can be quickly seen and estim<strong>at</strong>ed by eye. Because of the obvious impacts on the<br />

public health due to high pollutant concentr<strong>at</strong>ions or dosages, the high end of the<br />

plots can be studied. On the other hand, correct predictions of low<br />

concentr<strong>at</strong>ions may sometimes also be important for highly toxic chemicals.<br />

2. Quantile–quantile plot: The quantile–quantile plot begins with the same p<strong>air</strong>ed<br />

d<strong>at</strong>a as the sc<strong>at</strong>ter plots, but removes the p<strong>air</strong>ing and instead ranks each of the<br />

observed and predicted d<strong>at</strong>a separ<strong>at</strong>ely from lowest to highest. Thus the 3rd<br />

lowest predicted concentr<strong>at</strong>ion would be plotted versus the 3rd lowest observed<br />

concentr<strong>at</strong>ion. It is often of interest to find out whether a model can gener<strong>at</strong>e a<br />

concentr<strong>at</strong>ion distribution th<strong>at</strong> is similar to the observed distribution. Biases <strong>at</strong><br />

low or high concentr<strong>at</strong>ions are quickly revealed in this plot.<br />

The quantit<strong>at</strong>ive performance measure of the model was performed in this thesis by<br />

advanced st<strong>at</strong>istical methods. The st<strong>at</strong>istical indices applied in this thesis are mostly<br />

derived from the BOOT package (Hanna 1989) and the Model Valid<strong>at</strong>ion Kit (Olesen<br />

2005). Some standard st<strong>at</strong>istical measures were also used, along with two more<br />

advanced measures proposed by Poli and Cirillo (1993). The st<strong>at</strong>istical set is similar to<br />

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Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

th<strong>at</strong> applied by Canepa and Builtjes (2001) for the valid<strong>at</strong>ion of SAFE AIR in complex<br />

terrain. The following indices have been used:<br />

MEAN can be rel<strong>at</strong>ed to both observed and simul<strong>at</strong>ed concentr<strong>at</strong>ions, it is defined as:<br />

o<br />

i<br />

s<br />

MEAN observed = C = ∑ ; simul<strong>at</strong>ed = C = ∑<br />

i<br />

o<br />

C<br />

N<br />

s<br />

Ci<br />

MEAN ;<br />

i N<br />

where N is the total number of the receptors and o<br />

i<br />

189<br />

C ( C ) is the observed<br />

(simul<strong>at</strong>ed) concentr<strong>at</strong>ion <strong>at</strong> the i-th receptor; a perfect model would give<br />

MEAN = MEAN .<br />

observed<br />

BIAS is defined as:<br />

BIAS −<br />

o s<br />

= C C ;<br />

simul<strong>at</strong>ed<br />

a perfect model would give BIAS = 0, while if BIAS > 0 (< 0) the model on average<br />

underestim<strong>at</strong>es (overestim<strong>at</strong>es) the observed concentr<strong>at</strong>ions.<br />

FB (Fractional Bias) is defined as:<br />

o s<br />

C − C<br />

FB = ;<br />

o s<br />

( C + C ) 2<br />

it ranges between – 2 and + 2, a perfect model would give FB = 0, while if FB>0<br />

(< 0) the model on average underestim<strong>at</strong>es (overestim<strong>at</strong>es) the observed<br />

concentr<strong>at</strong>ions.<br />

SD (standard devi<strong>at</strong>ion), can be rel<strong>at</strong>ed to both observed and simul<strong>at</strong>ed concentr<strong>at</strong>ions,<br />

it is defined as:<br />

SD<br />

observed<br />

=<br />

2<br />

o o<br />

s s<br />

o ( Ci<br />

C )<br />

s ( Ci<br />

C )<br />

σ =<br />

; SD = =<br />

∑ −<br />

i N<br />

simul<strong>at</strong>ed<br />

a perfect model would give SD observed = SDsimul<strong>at</strong>ed<br />

.<br />

s<br />

i<br />

∑ −<br />

σ ;<br />

i N<br />

2


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

FS (Fractional Standard devi<strong>at</strong>ion) is defined as:<br />

o s<br />

σ −σ<br />

FS = ;<br />

o s<br />

( σ + σ ) 2<br />

it ranges between – 2 and + 2, a perfect model would give FS = 0, while if FS>0<br />

(< 0) the spreading of the simul<strong>at</strong>ed concentr<strong>at</strong>ion values is smaller (bigger) than<br />

the spreading of the measured ones.<br />

COR (linear CORrel<strong>at</strong>ion coefficient) is defined as:<br />

o o s s<br />

( C − C )( C − C )<br />

COR = ;<br />

o s<br />

σ σ<br />

a perfect model would give COR = + 1, it ranges between – 1 and + 1.<br />

FA2 (fraction within a FActor of 2) is defined as:<br />

s<br />

Ci<br />

fraction of d<strong>at</strong>a with 0. 5 ≤ ≤ 2 ; o<br />

C<br />

a perfect model would give FA2 = 1.<br />

NMSE (Normalised Mean Square Error) is defined as:<br />

o s ( C − C )<br />

i<br />

190<br />

∑<br />

( k )<br />

2<br />

NMSE = or, if C i<br />

o s<br />

C C<br />

o<br />

2<br />

∑ s −<br />

i i 1<br />

i ≠ 0 ∀ , NMSE =<br />

sik<br />

where<br />

k = C C and<br />

i<br />

s<br />

i<br />

o<br />

i<br />

value of this index is always positive.<br />

o o<br />

s i = Ci<br />

C ; a perfect model would give NMSE = 0, the<br />

WNNR(Weighted Normalized mean square error of the Normalized R<strong>at</strong>ios)is defined as<br />

∑<br />

( 1 kˆ<br />

)<br />

2<br />

∑ s −<br />

i i<br />

WNNR =<br />

s kˆ<br />

i<br />

i<br />

i<br />

i<br />

2<br />

;<br />

where kˆ i = 1 ki<br />

(if ki > 1) and k ˆ<br />

i = ki<br />

(if k i ≤1<br />

); a perfect model would give<br />

WNNR=0, the value of this index is always positive.<br />

i<br />

i<br />

i<br />

2<br />

;


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

NNR (Normalized mean square error of the distribution of Normalized R<strong>at</strong>ios) is<br />

defined as:<br />

( 1 kˆ<br />

)<br />

∑ −<br />

i NNR =<br />

kˆ<br />

∑<br />

i i<br />

i<br />

2<br />

;<br />

a perfect model would give NNR = 0, the value of this index is always positive.<br />

Note th<strong>at</strong> the word ‘perfect’ here is used just to indic<strong>at</strong>e th<strong>at</strong> all the modeled d<strong>at</strong>a m<strong>at</strong>ch<br />

the observed d<strong>at</strong>a; this does not necessarily mean th<strong>at</strong> a model is perfect (without<br />

errors); for example it is possible for a model to have predictions completely out of phase<br />

of observ<strong>at</strong>ions and still have FB = 0 because of canceling errors.<br />

One can directly judge the on average model performance just looking <strong>at</strong> the<br />

MEANobserved and MEANsimul<strong>at</strong>ed values simultaneously. Looking <strong>at</strong> the BIAS value one<br />

can immedi<strong>at</strong>ely have an idea about the on average model performance with respect to<br />

overestim<strong>at</strong>ion (BIAS0) of the measured values; but the<br />

BIAS value could vanish even in the case of evident disagreement between simul<strong>at</strong>ed<br />

and measured concentr<strong>at</strong>ions. Furthermore, looking <strong>at</strong> the BIAS value solely, all<br />

inform<strong>at</strong>ion about the r<strong>at</strong>io between MEANsimul<strong>at</strong>ed and MEANobserved is lost. To try to<br />

overcome the l<strong>at</strong>ter issue, the FB index can be helpful. As a m<strong>at</strong>ter of facts, the FB is<br />

the BIAS normalised to the average values of MEANsimul<strong>at</strong>ed and MEANobserved.<br />

The SD and FS indices give inform<strong>at</strong>ion about the spreading of the concentr<strong>at</strong>ions. One<br />

can directly judge the model performance looking <strong>at</strong> the SDobserved and SDsimul<strong>at</strong>ed values<br />

simultaneously. As far as the standard devi<strong>at</strong>ions are concerned, the FS index is<br />

analogous to the FB index.<br />

COR gives inform<strong>at</strong>ion about the linear correl<strong>at</strong>ion of the d<strong>at</strong>a. As already said, COR<br />

ranges between – 1 and + 1. A value of + 1, the so-called “complete positive<br />

o s<br />

correl<strong>at</strong>ion” corresponds to all p<strong>air</strong>s ( C , ) laying on a straight line with positive<br />

i Ci<br />

slope in the sc<strong>at</strong>ter diagram. The “complete neg<strong>at</strong>ive correl<strong>at</strong>ion” corresponds to all the<br />

p<strong>air</strong>s on a straight line with neg<strong>at</strong>ive slope, and it has COR = – 1. A value of COR near<br />

to zero indic<strong>at</strong>es the absence of linear correl<strong>at</strong>ion between the variables. A model will<br />

191


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

have COR = + 1 if<br />

C −<br />

o o s s<br />

i − C = Ci<br />

C for any (<br />

o s<br />

C ≠ C the previous equality does not mean<br />

192<br />

o<br />

i<br />

C , ). Because it is possible th<strong>at</strong><br />

o s<br />

i Ci<br />

o s<br />

C = C for any ( C , ) as we should<br />

s<br />

i<br />

i Ci<br />

expect for a perfect model. Furthermore, it should also be pointed out th<strong>at</strong> a high<br />

correl<strong>at</strong>ion coefficient does not necessarily indic<strong>at</strong>e a direct dependence of the variables<br />

(“spurious correl<strong>at</strong>ion”).<br />

The FA2, NMSE, WNNR and NNR indices give inform<strong>at</strong>ion about the r<strong>at</strong>ios between<br />

simul<strong>at</strong>ed and measured concentr<strong>at</strong>ions. Only the FA2 and NNR indices, out of all<br />

indices considered, depend solely on the r<strong>at</strong>ios between simul<strong>at</strong>ed and measured<br />

concentr<strong>at</strong>ions, and not on the d<strong>at</strong>a set itself, so they are the only indices strictly usable<br />

to compare simul<strong>at</strong>ions of <strong>different</strong> experiments. NMSE gives more relevance to errors<br />

rel<strong>at</strong>ive sometimes to the highest measured concentr<strong>at</strong>ions, sometimes to the lowest<br />

ones; WNNR gives more relevance to errors rel<strong>at</strong>ive to the highest measured<br />

concentr<strong>at</strong>ions; NNR gives the same relevance to errors independently of the position of<br />

the d<strong>at</strong>a within the concentr<strong>at</strong>ion range (Poli and Cirillo, 1993).<br />

Quality objectives and acceptance criteria are not easy to be defined. Generally, they<br />

will depend on the purpose and goal of the model evalu<strong>at</strong>ion procedure. For example,<br />

simple quality objectives are recommended by the European directives on <strong>air</strong> quality.<br />

They are listed in table 4-2 and are based on the accuracy of the model for a given<br />

pollutant concentr<strong>at</strong>ion measure over the period considered by the limit value.<br />

Pollutant Air Quality indic<strong>at</strong>or Air Quality objective EU Directive<br />

SO2, NO2, NOx<br />

PM10, Pb<br />

CO<br />

Benzene<br />

Ozone<br />

Hourly mean<br />

Daily mean<br />

Annual mean<br />

Annual mean<br />

8-h mean<br />

Annual mean<br />

8-h daily maximum<br />

Hourly mean<br />

50-60%<br />

50%<br />

30%<br />

50%<br />

50%<br />

50%<br />

50%<br />

50%<br />

1999/30/EC<br />

2000/69/EC<br />

2002/3/EC<br />

Table 4-2 Modelling quality objectives established by European Directives


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Acceptance criterion based on the BOOT st<strong>at</strong>istical indic<strong>at</strong>ors, is given by Chang and<br />

Hanna (2004). They are based on an extensive review of applic<strong>at</strong>ions of the BOOT<br />

package and they are adopted in the model evalu<strong>at</strong>ion protocol for <strong>urban</strong> scale flow and<br />

<strong>dispersion</strong> model developed in the framework of the COST 732 action (Di Sab<strong>at</strong>ino et<br />

al., 2008). According to the authors, ‘good’ performing models appear to have the<br />

following typical characteristics based on unp<strong>air</strong>ed in space comparisons:<br />

1. The fraction of predictions within a factor of two of observ<strong>at</strong>ion is about 50%<br />

(i.e., FA2>0.5).<br />

2. The mean bias is within ±30% of the mean (i.e., -0.3


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

calcul<strong>at</strong>ed concentr<strong>at</strong>ion levels, over the period for calcul<strong>at</strong>ing the appropri<strong>at</strong>e threshold,<br />

without taking into account the timing of the events. In Stern and Fleming (2007) and<br />

Borrego et al. (2008) EC directive rel<strong>at</strong>ed uncertainty assessment parameters such as the<br />

rel<strong>at</strong>ive maximum error (RME) and rel<strong>at</strong>ive percentile error (RPE) were explicitly<br />

formul<strong>at</strong>ed and widely tested.<br />

These l<strong>at</strong>ter top-down techniques were used in this work; in particular the uncertainties<br />

were quantified by means of the rel<strong>at</strong>ive maximum error (RME) and the Colvile et al.<br />

(2002) method.<br />

RME is the most relevant uncertainty parameter for annual mean concentr<strong>at</strong>ion when<br />

<strong>modelling</strong> uncertainty is required for directive purpose (AIR4EU, 2007). RME for the<br />

annual means is simply the rel<strong>at</strong>ive error of the annual average, because for this<br />

averaging period the question of timing is not relevant (Stern and Fleming 2007). So,<br />

for annual mean concentr<strong>at</strong>ion RME can be calcul<strong>at</strong>ed for every single monitoring<br />

st<strong>at</strong>ion as follows:<br />

RME =<br />

C<br />

o,<br />

i −<br />

C<br />

o,<br />

i<br />

C<br />

s,<br />

i<br />

where Co,i is the observed concentr<strong>at</strong>ion <strong>at</strong> the monitoring site i and Cs,i is the simul<strong>at</strong>ed<br />

concentr<strong>at</strong>ion <strong>at</strong> the site i.<br />

Colvile et al. (2002) method is a very interesting altern<strong>at</strong>ive method, th<strong>at</strong> allows to take<br />

into account system<strong>at</strong>ic underestim<strong>at</strong>ion or overestim<strong>at</strong>ion effects. In this case, to<br />

calcul<strong>at</strong>e uncertainty, modeled concentr<strong>at</strong>ion values with bias (mean difference between<br />

modeled and monitored concentr<strong>at</strong>ions <strong>at</strong> all available monitoring st<strong>at</strong>ions) removed<br />

were considered; in particular, these concentr<strong>at</strong>ions were normalized by the relevant <strong>air</strong><br />

quality standard and logarithms taken because the distribution of concentr<strong>at</strong>ions both<br />

across a map of model output was much closer to lognormal than normally distributed.<br />

Model precision was then estim<strong>at</strong>ed as the root mean square difference between<br />

modeled and measured log-concentr<strong>at</strong>ions. The use of log-concentr<strong>at</strong>ion leads to a<br />

precision value expressed as a fraction or percentage error.<br />

194


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

Since models are generally applied to produce sp<strong>at</strong>ially resolving maps, even <strong>at</strong> points<br />

without observ<strong>at</strong>ions, it is equally important to indic<strong>at</strong>e model uncertainty as a sp<strong>at</strong>ial<br />

map; uncertainty maps may be used to indic<strong>at</strong>e the quality of the model or as<br />

inform<strong>at</strong>ion for decision makers in <strong>air</strong> quality assessment (Denby et al., 2007). For these<br />

reasons, uncertainty in this work was also presented in the form of maps. Although its<br />

importance, uncertainty is rarely, if ever, presented in the form of maps, but some<br />

examples do exist (for example Van de Kassteele and Velders 2006, Fuentes and<br />

Raftery 2005, Horalek et al. 2007). The guidelines given by Denby et al. (2007), based<br />

on experience gained in the framework of the EU FP6 project Air4EU, were followed in<br />

this thesis; in particular the uncertainties were represented as points on the map because<br />

in the study area there isn’t a sufficient density of st<strong>at</strong>ions th<strong>at</strong> allow to interpol<strong>at</strong>e the<br />

uncertainty in a reliable way.<br />

4.6 Scenario analysis<br />

On the basis of the model evalu<strong>at</strong>ion, the most reliable modeling system, opportunely<br />

calibr<strong>at</strong>ed and valid<strong>at</strong>ed, was adopted for the scenarios analysis.<br />

Two scenarios were investig<strong>at</strong>ed in order to review of the actual <strong>air</strong> quality in the<br />

metropolitan area of Florence, Pr<strong>at</strong>o and Pistoia and to evalu<strong>at</strong>e future condition of the<br />

<strong>air</strong> quality in the study area:<br />

1. Base scenario or actual scenario: referred to the Tuscan Regional Emission<br />

Source Inventory 2003<br />

2. Future scenario or “business as usual” scenario: referred to 2012 year on the<br />

basis of the anticip<strong>at</strong>ory st<strong>at</strong>istical modific<strong>at</strong>ion of the Tuscan Regional<br />

Emission Source Inventory 2003.<br />

A newer emission source inventory was used in the scenarios analysis (IRSE-RT,<br />

2004); the main difference with the inventory used in the first phase of the project is th<strong>at</strong><br />

the grid area sources were further divided in four subc<strong>at</strong>egories: small industries, local<br />

road traffic, domestic he<strong>at</strong>ing and other sources. These subc<strong>at</strong>egories permitted to<br />

195


Chapter 4 City scale <strong>modelling</strong> by means of m<strong>at</strong>hem<strong>at</strong>ical methods<br />

evalu<strong>at</strong>e and compare the contribute of all the significant type of sources present in the<br />

<strong>urban</strong> area now and <strong>at</strong> a future time.<br />

NO2 and primary PM10 concentr<strong>at</strong>ions were analyzed, considering the necessity of the<br />

Air Quality Action Plan and the results of the model evalu<strong>at</strong>ion. According to the <strong>air</strong><br />

quality legisl<strong>at</strong>ion actually in force, annual (for NO2 and primary PM10), maximum<br />

hourly (for NO2) and maximum daily (for primary PM10) average concentr<strong>at</strong>ions maps<br />

of the two scenarios were calcul<strong>at</strong>ed considering all the source together; in order to<br />

evalu<strong>at</strong>e the contribute of every <strong>different</strong> type of emission source annual mean<br />

concentr<strong>at</strong>ion maps were also carried out, separ<strong>at</strong>ely, for: main point sources (POINT),<br />

main line sources (LINE), small industries (IND), local road traffic (ROAD), domestic<br />

he<strong>at</strong>ing (HEAT) and other sources (OTHER).<br />

In addition to the contour maps of the <strong>air</strong> quality indic<strong>at</strong>ors other two types of analysis<br />

were carried out:<br />

• Maps of the annual mean concentr<strong>at</strong>ion vari<strong>at</strong>ion (CF-A) between actual (CA) and<br />

future (CF) scenario normalized by the relevant <strong>air</strong> quality standard (AQS).<br />

CF − C A<br />

CF-A =<br />

AQS<br />

This investig<strong>at</strong>ion was aimed <strong>at</strong> evalu<strong>at</strong>ing the vari<strong>at</strong>ion of the concentr<strong>at</strong>ion<br />

levels between the two scenarios;<br />

• Evalu<strong>at</strong>ion of the r<strong>at</strong>ios (Ri-all) between the annual mean concentr<strong>at</strong>ions due to a<br />

specific type of source (Ci) and the annual concentr<strong>at</strong>ion levels deriving from all<br />

the sources (Call) for the actual and future scenarios:<br />

Ri-all =<br />

C<br />

C<br />

i<br />

ALL<br />

This investig<strong>at</strong>ion was carried out for each receptor of the comput<strong>at</strong>ional grid<br />

used and was aimed <strong>at</strong> defining the weights of the <strong>different</strong> type of sources<br />

involved in the study area and their changing <strong>at</strong> a future time.<br />

196


5.1 Introduction<br />

Chapter 5<br />

5.Neighbourood/Street scale results<br />

The following sections present results from the experiments performed on the DAPPLE<br />

site model <strong>at</strong> the EnFlo wind tunnel. Two main sets of experiments were carried out:<br />

moving source and correl<strong>at</strong>ion experiments.<br />

Both the series of experiments involved tracer concentr<strong>at</strong>ion measurements and focused<br />

on the characteriz<strong>at</strong>ion of <strong>dispersion</strong> phenomena connected with the pollutant emission<br />

of vehicles and, in particular, on the effect of a moving source on receptors loc<strong>at</strong>ed in<br />

the streets downwind of the emission sources.<br />

Moving source experiments were carried to investig<strong>at</strong>e the mean concentr<strong>at</strong>ions and<br />

rel<strong>at</strong>ed exposure dosages, while correl<strong>at</strong>ion experiments focused on concentr<strong>at</strong>ion<br />

fluctu<strong>at</strong>ions and, in particular, was aimed <strong>at</strong> investig<strong>at</strong>ing the correl<strong>at</strong>ion between two<br />

point sources belonging to a line emission.<br />

Details about the adopted experimental str<strong>at</strong>egy, technique and programme are<br />

described in the section 3.4 and 3.5.<br />

All tracer concentr<strong>at</strong>ion results are reported in non-dimensional form, as follows:<br />

CUH 2<br />

Q<br />

2<br />

c ( UH<br />

2<br />

Q<br />

2<br />

ClineUH q<br />

)<br />

2<br />

non-dimensional mean concentr<strong>at</strong>ion of a point source<br />

non-dimensional concentr<strong>at</strong>ion fluctu<strong>at</strong>ion of a point source<br />

non-dimensional mean concentr<strong>at</strong>ion of a line source<br />

where C is the measured mean volume concentr<strong>at</strong>ion from a point source, c 2 is the<br />

measured volume concentr<strong>at</strong>ion variance from a point source, Cline is the mean volume<br />

197


Chapter 5 Neighbourood/Street scale results<br />

concentr<strong>at</strong>ion from a line source derived from the integral calcul<strong>at</strong>ion of point source<br />

measurements, U is equal to wind speed <strong>at</strong> the boundary layer edge U(z=δ=1m), H is the<br />

average building height in the model (H=110mm), Q is the tracer volume emission r<strong>at</strong>e<br />

of a point source and q is the tracer volume emission per unit length of a line source.<br />

It recommended th<strong>at</strong> the map of the DAPPLE model (previously reported in the figure<br />

3-7) be used when reading these results.<br />

198


Chapter 5 Neighbourood/Street scale results<br />

5.2 Moving source experiments<br />

A wide range of source and receptor loc<strong>at</strong>ions were analyzed in the moving source<br />

experiments; the source loc<strong>at</strong>ions were loc<strong>at</strong>ed in Marylebone Road and the receptor<br />

loc<strong>at</strong>ions in various downwind streets, depending on the model rot<strong>at</strong>ion. Two model<br />

orient<strong>at</strong>ion (-90° and +90°) were considered in this series of experiments.<br />

The concentr<strong>at</strong>ion d<strong>at</strong>a obtained from these experiments were analysed by means of the<br />

following methods.<br />

1. Plots of the mean concentr<strong>at</strong>ion (or variance) against receptor loc<strong>at</strong>ion for a<br />

given source loc<strong>at</strong>ion (see section 5.2.1). This type of elabor<strong>at</strong>ion permitted to<br />

understand the behaviour of the pollutant <strong>dispersion</strong> phenomena changing the<br />

loc<strong>at</strong>ion of the mobile source along the Marylebone road.<br />

2. Plots of the mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion for a particular receptor<br />

loc<strong>at</strong>ions and rel<strong>at</strong>ed estim<strong>at</strong>ion of the mean concentr<strong>at</strong>ion from a uniform traffic<br />

line source (see section 5.2.2). This elabor<strong>at</strong>ion method allowed to identify in<br />

terms of mean concentr<strong>at</strong>ion the receptor more exposed to the pollutant emission<br />

of a line source; the integral calcul<strong>at</strong>ion (by numerical methods) of these mean<br />

concentr<strong>at</strong>ion profiles permits to quantify the non-dimensional mean<br />

concentr<strong>at</strong>ion due to a uniform line emission, Cline * , in a receptor loc<strong>at</strong>ion.<br />

C<br />

*<br />

line<br />

C<br />

=<br />

line<br />

UH<br />

q<br />

=<br />

∫<br />

0<br />

S<br />

CUH<br />

Q<br />

2<br />

ds<br />

H<br />

199<br />

where S is the length of the line source<br />

3. Estim<strong>at</strong>ion of mean exposure dosages from a car (see section 5.2.3). The second<br />

series of plots was also used to evalu<strong>at</strong>e the effect of non uniform emission line<br />

source. Integral of the concentr<strong>at</strong>ion of point source measurements with space<br />

(length of the line source, S) and time (driving time, T) permitted to evalu<strong>at</strong>e the<br />

effect of <strong>different</strong> traffic conditions (i.e. stop <strong>at</strong> the intersection, <strong>different</strong> speed).<br />

D*<br />

=<br />

DUH<br />

q<br />

∫∫ ⎟ S T 2 ⎛ CUH ds ⎞<br />

= ⎜<br />

dt<br />

⎝ Q H<br />

0 0 ⎠


Chapter 5 Neighbourood/Street scale results<br />

This integral represent the non dimensional form of the mean dose, D, to which<br />

someone might be exposed due to the passage of a mobile source and permit to<br />

predict the dosages from the emission of a single car. These estim<strong>at</strong>ions are<br />

represent<strong>at</strong>ive of a vehicle th<strong>at</strong> travels along a street many times in the same<br />

way.<br />

5.2.1 Concentr<strong>at</strong>ion vs. receptor loc<strong>at</strong>ion<br />

This d<strong>at</strong>a analysis was carried out only for ground level concentr<strong>at</strong>ion (Z=10mm). The<br />

results for the -90 degree model orient<strong>at</strong>ion will be presented first, then the +90° model<br />

orient<strong>at</strong>ion results will follow.<br />

-90° model orient<strong>at</strong>ion<br />

Plots of the (non-dimensional) mean concentr<strong>at</strong>ion against receptor loc<strong>at</strong>ion along<br />

Dorset square/Melcombe Street for every <strong>different</strong> source loc<strong>at</strong>ions considered along<br />

Marylebone road are reported in the figure 5-1; (non-dimensional) variances are shown<br />

in the figure 5-2.<br />

Starting with the analysis of the results in correspondence of the source loc<strong>at</strong>ions in the<br />

far neg<strong>at</strong>ive X model (west) region, figure 5-1 (top-left curves) shows th<strong>at</strong> for the<br />

source loc<strong>at</strong>ions <strong>at</strong> X=-531mm and X=-483mm, most of the pollutant is channelled<br />

down Balcombe street, as is to be expected for sources <strong>at</strong> or in proximity of the<br />

intersection of Balcombe St with Marylebone Road (X=-531). Having been channelled<br />

down Balcombe St, the plume disperses into side streets and is detected in Melcombe<br />

Street between X=-800mm and X=-200mm. The mean concentr<strong>at</strong>ions along Dorset<br />

square/Melcombe Street are almost equal for both the source loc<strong>at</strong>ions, while the<br />

variances from the source loc<strong>at</strong>ion <strong>at</strong> X=-531 (centre of the intersection between<br />

Marylebone road and Balcombe St.,) are higher <strong>at</strong> the receptor loc<strong>at</strong>ion directly<br />

downwind of the intersection (see top-right curves in figure 5-2).<br />

200


Chapter 5 Neighbourood/Street scale results<br />

Figure 5-1 Plots of the (non-dimensional) mean concentr<strong>at</strong>ion against receptor<br />

loc<strong>at</strong>ion along Dorset square/Melcombe Street for <strong>different</strong> source loc<strong>at</strong>ions along<br />

Marylebone road<br />

201


Chapter 5 Neighbourood/Street scale results<br />

Figure 5-2 Plots of the (non-dimensional) concentr<strong>at</strong>ion variances against<br />

receptor loc<strong>at</strong>ion along Dorset square/Melcombe Street for <strong>different</strong> source loc<strong>at</strong>ions<br />

along Marylebone road<br />

202


Chapter 5 Neighbourood/Street scale results<br />

Moving the source loc<strong>at</strong>ion in direction of the main intersection <strong>at</strong> X=-434mm (see<br />

Figure 5-1, top-right curves), the plume is effectively split with peaks occurring in<br />

Balcombe Street and Gloucester Place. Tracer gas is detected almost the entire length of<br />

Melcombe place, from the Balcombe Street intersection to the Gloucester Place<br />

intersection, due to the channelling of pollutant into side streets and possibly the<br />

increased mixing around the Mar<strong>at</strong>hon House tower (loc<strong>at</strong>ed between Marylebone road<br />

and Dorset Square about <strong>at</strong> X=-365) having some additional effect as highlighted in the<br />

study of Carpentieri (2005).<br />

For source loc<strong>at</strong>ions between X=-337mm and X=-56mm similar mean concentr<strong>at</strong>ion<br />

and variances profiles are seen. Peaks in mean concentr<strong>at</strong>ion and fluctu<strong>at</strong>ion are<br />

detected only <strong>at</strong> the intersection with Gloucester Place; this indic<strong>at</strong>es th<strong>at</strong> the pollutant<br />

is channelled along Marylebone Road towards the intersection with Gloucester Place,<br />

where the mean flow then carries pollutant along Gloucester place to the receptor<br />

loc<strong>at</strong>ions of Dorset Square\Melcombe Street situ<strong>at</strong>ed between X=0mm and X=-300mm.<br />

It is worth noting th<strong>at</strong> with this range of source loc<strong>at</strong>ions very low pollutant<br />

concentr<strong>at</strong>ion is seen in Balcombe Street even when the tracer release is actually closer<br />

to Balcombe Street than Gloucester Place. For example, results with a release <strong>at</strong> X=-<br />

337mm shows pollutant detected in Gloucester Place but not in Balcombe Street. This<br />

low concentr<strong>at</strong>ion levels observed when receptors are shielded by buildings suggests<br />

th<strong>at</strong> small quantity of pollutant is transported over roof tops and into Dorset Square, and<br />

the concentr<strong>at</strong>ions th<strong>at</strong> are seen between X=0mm and X=-300mm are more likely due to<br />

the horizontal spreading and channelling of the plume in the street network.<br />

With the source situ<strong>at</strong>ed <strong>at</strong> the main intersection (X=0mm) sharp peak in mean<br />

concentr<strong>at</strong>ion and variance is detected <strong>at</strong> the receptor in Dorset Square\Melcombe Place<br />

where pollutant is carried directly from the source to the receptor. Interestingly, the<br />

mean concentr<strong>at</strong>ion see by a receptor directly downwind is lower <strong>at</strong> the main<br />

intersection than for a source <strong>at</strong> X=-483mm source loc<strong>at</strong>ion, near but not directly<br />

upwind of the Balcombe Street intersection, C* = 1.5 and 1.7 respectively; opposite<br />

behaviour characterized the variances; as expected, the variances are higher in a<br />

receptor directly downwind the intersection (c 2 * = 0.85 respect to 0.45).<br />

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Chapter 5 Neighbourood/Street scale results<br />

As the source moves towards east side of the model (positive X) the plume grows in<br />

width with higher values of mean concentr<strong>at</strong>ion and variance than ones seen earlier with<br />

source loc<strong>at</strong>ed in the west side (neg<strong>at</strong>ive X). This increased spread of the plume may be<br />

due to the local geometry of the buildings. In the neg<strong>at</strong>ive X direction the buildings (1<br />

and 2) are low (respectively 55mm and 88mm high) and wide (respectively 452mm and<br />

442mm long in the X direction) with a tower on Mar<strong>at</strong>hon House and receptors loc<strong>at</strong>ed<br />

in a large square (Dorset Sq), while in the positive X direction the building (3) has a<br />

more uniform shape being 115 mm tall and 279 mm wide and receptor are inside a deep<br />

street canyon (Melcombe St, H/W=1.8). For example, we can see th<strong>at</strong> the plume from<br />

the X=44mm source loc<strong>at</strong>ion is detected in Melcombe Place <strong>at</strong> the Gloucester Place<br />

intersection (X=0mm), the Glentworth intersection (X=390mm) and everywhere in<br />

between inside the canyon. This would indic<strong>at</strong>e th<strong>at</strong> the plume is channelled along both<br />

Gloucester Place and Glentworth Street and then mixed inside the Melcombe street,<br />

instead in the case of neg<strong>at</strong>ive X source loc<strong>at</strong>ions (for example between X=-337 mm<br />

and X=-56 mm) the tracer gas was detected only <strong>at</strong> the Gloucester Place intersection but<br />

not <strong>at</strong> Balcombe Street intersection. From the source loc<strong>at</strong>ion X=88mm to X=260mm,<br />

channelling and mixing effects inside the canyon seen <strong>at</strong> the receptor X=44mm are also<br />

present in these cases; the channeling along Glentworth Street prevail over the<br />

channeling along Gloucester Place, even when the source is nearer to the Gloucester<br />

Place intersection.<br />

Moving the source in proximity of the Glentworth Street intersection and, in particular,<br />

between X=324 mm and X=514 mm, similar mean concentr<strong>at</strong>ion and variances profiles<br />

are identified; quite uniform values of mean concentr<strong>at</strong>ion are detected almost the entire<br />

length of Melcombe place, from X=50mm to the Baker street intersection (X=770mm).<br />

This indic<strong>at</strong>es th<strong>at</strong> the pollutant is channelled along Marylebone Road towards the<br />

intersection with Glentworth Street and Baker Street, here the mean flow carries<br />

pollutant along these streets to the receptor loc<strong>at</strong>ions of Melcombe Street, where the<br />

mixing effect of the canyon produces a uniform value of mean concentr<strong>at</strong>ion. For source<br />

loc<strong>at</strong>ion further away from the Glentworth Street intersection in the positive X direction<br />

(between X=632mm and X=770mm) peaks in mean concentr<strong>at</strong>ion and variances are<br />

detected only <strong>at</strong> the intersection with Baker street, demonstr<strong>at</strong>ing th<strong>at</strong> in these cases<br />

pollutant is channeled only along one street.<br />

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Chapter 5 Neighbourood/Street scale results<br />

In general, concentr<strong>at</strong>ion variance results (see figure 5-2) show almost the same p<strong>at</strong>tern<br />

as the mean concentr<strong>at</strong>ion, but sharper peaks can be detected <strong>at</strong> the intersections when<br />

the source is directly downwind of the receptor; in this case high variance values are<br />

due to the fact th<strong>at</strong> the plume is still narrow and not very well mixed and the complex<br />

flow situ<strong>at</strong>ions <strong>at</strong> the intersection cause high level of intermittency.<br />

+90° model orient<strong>at</strong>ion<br />

This model orient<strong>at</strong>ion allows to study the ground level concentr<strong>at</strong>ion of three <strong>different</strong><br />

parallel streets downwind of the source: Bickenhall Street (Y=-340mm), York Street<br />

(Y=-719mm) and Crawford Street (Y=-1060mm). Plots of the (non-dimensional) mean<br />

concentr<strong>at</strong>ions against receptor loc<strong>at</strong>ion along the three streets considered for every<br />

<strong>different</strong> source loc<strong>at</strong>ions considered along Marylebone road are reported in the figure<br />

5-3; (non-dimensional) variances are shown in the figures 5-4.<br />

The concentr<strong>at</strong>ion levels (mean and variances) and plume behaviour in York St will be<br />

discuss first, Crawford St and Bickenhall St results will then be compared to this street.<br />

In general mean concentr<strong>at</strong>ions and variances were highest in Bickenhall Street, closest<br />

street to the sources; concentr<strong>at</strong>ion levels reduced with downstream distance through<br />

York Street and Crawford Street.<br />

York Street d<strong>at</strong>a for source loc<strong>at</strong>ions <strong>at</strong> X=-531 mm, -337 mm and -224 mm show<br />

similar profiles with peaks of mean concentr<strong>at</strong>ion and variance in correspondence of the<br />

intersection with Upper Montagu St (X=-531 mm); this behaviour corresponds to the<br />

pollutant channelling down Balcombe St. As the source loc<strong>at</strong>ions move in a more<br />

positive direction towards X=-224 mm the plume widens with higher concentr<strong>at</strong>ion<br />

towards X=0mm. For a source <strong>at</strong> X= -112 mm the plume is effectively split with peaks<br />

in the two streets, Upper Montagu St and Gloucester Pl. Rel<strong>at</strong>ively high concentr<strong>at</strong>ions<br />

were detected in York Street between the two parallel streets mentioned above; this is to<br />

be expected as the pollutant appears to be channelled into the street from both<br />

intersections and then well mixed inside the street canyon. Interestingly there is no peak<br />

or increase in concentr<strong>at</strong>ion for receptors close to the mouth of the canyon between<br />

buildings 8-9. One might expect pollutant to be channelled along this road, however this<br />

is not the case and it may be due to the presence of a building offset of 60 mm in the<br />

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Chapter 5 Neighbourood/Street scale results<br />

upwind intersection; the effect of this particular geometry is widely described in<br />

Scaperdas (2000). Results for source loc<strong>at</strong>ion <strong>at</strong> X=-60 mm are similar, showing two<br />

peaks <strong>at</strong> the same parallel street intersection with a slightly higher value for the X=0<br />

mm receptor; this is expected as the source is now close to the main intersection.<br />

Receptors in Bickenhall St show th<strong>at</strong>, for source loc<strong>at</strong>ions with X more neg<strong>at</strong>ive than<br />

-112 mm, high peaks of mean concentr<strong>at</strong>ion and variances are seen <strong>at</strong> the Upper<br />

Montagu Street intersection, the loc<strong>at</strong>ion of the peaks is the same as in York St.; the<br />

mean concentr<strong>at</strong>ion and variance levels are higher in this case due to the proximity to<br />

the source. Results with a source loc<strong>at</strong>ion <strong>at</strong> X=-337mm, -224mm and -112mm show a<br />

region of high mean concentr<strong>at</strong>ion values from around X=-337 mm to -531 mm. This is<br />

due to the channelling of pollutant through the street canyon between buildings 5 and 6<br />

or along Upper Montagu Street and then into the Bickenhall St, and to the presence of<br />

an intersection with a building offset of 60 mm. Oddly for a source loc<strong>at</strong>ion directly<br />

upwind of the street canyon between the buildings 5 and 6 (X=- 337mm) there are no<br />

rel<strong>at</strong>ed peaks of concentr<strong>at</strong>ion for the receptor <strong>at</strong> X=-337mm; we might expect the<br />

receptor to see a high tracer level <strong>at</strong> this point but this is not the case: the highest mean<br />

concentr<strong>at</strong>ion level in this street is seen <strong>at</strong> X =-337mm for a source loc<strong>at</strong>ion <strong>at</strong> X= -<br />

112mm. For the source loc<strong>at</strong>ion <strong>at</strong> X= -60 mm, results in Bickenhall St show two<br />

distinct peaks in concentr<strong>at</strong>ion; one for the 5-6 street canyon intersection and another<br />

for the Gloucester place intersection. The York St d<strong>at</strong>a also shows this same ‘twin peak’<br />

trend, but one of the peak is loc<strong>at</strong>ed in correspondence of the Balcombe St intersection<br />

instead of the 8-9 street canyon intersection.<br />

The Crawford Street d<strong>at</strong>a shows <strong>different</strong> set of characteristics from Bickenhall Street,<br />

but analogous to York street for these neg<strong>at</strong>ive X source loc<strong>at</strong>ions; similar channelling<br />

effects of the streets coming into play once again also in this case. The levels of<br />

concentr<strong>at</strong>ion are lower than in York Street and Bickenhall street, reflecting the more<br />

diluted plume <strong>at</strong> Y=1070 mm downstream. At this distance downwind the plume does<br />

not appear to have significantly widened <strong>at</strong> all, this behaviour is the same mentioned by<br />

Hoydish and Dabbert (1994); this study highlighted th<strong>at</strong> for wind directions parallel to<br />

the direction of the streets within the array, a reduction in the l<strong>at</strong>eral spread of the plume<br />

can occur <strong>at</strong> large distances due to the channelling of the flow along the streets.<br />

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Chapter 5 Neighbourood/Street scale results<br />

Figure 5-3 Plots of the (non-dimensional) mean concentr<strong>at</strong>ions against receptor<br />

loc<strong>at</strong>ion along the three street considered (Bickenhall St, top graphs, York St, center<br />

graphs, and Crawford St, bottom graphs) for <strong>different</strong> source loc<strong>at</strong>ions along<br />

Marylebone road<br />

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Chapter 5 Neighbourood/Street scale results<br />

Figure 5-4 Plots of the (non-dimensional) concentr<strong>at</strong>ion variances against<br />

receptor loc<strong>at</strong>ion along the three street considered (Bickenhall St, top graphs, York<br />

St, center graphs, and Crawford St, bottom graphs) for <strong>different</strong> source loc<strong>at</strong>ions<br />

along Marylebone road<br />

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Chapter 5 Neighbourood/Street scale results<br />

With the source <strong>at</strong> the main intersection (X=0mm) the results of the three <strong>different</strong><br />

streets show a similar behaviour: a sharp peak of mean concentr<strong>at</strong>ion and variance is<br />

detected <strong>at</strong> the receptor directly downwind; the pollutant seems to reach the receptor<br />

with rel<strong>at</strong>ively small dilution. An important point to note is th<strong>at</strong> the maximum mean<br />

concentr<strong>at</strong>ion value for Bickenhall Street (closest street to the source) is lower than th<strong>at</strong><br />

seen in York street, however the variances are considerably higher in Bickenhall Street<br />

(see figure 5-5). For example, this means th<strong>at</strong> a receptor <strong>at</strong> the intersection in Bickenhall<br />

Street could be potentially exposed to a dosage th<strong>at</strong> is 4.25 times the mean (C*=0.8,<br />

c*=1.3 and consequently C*+2c*=3.4), whereas the most likely to be seen in York<br />

Street is 2 times the mean (C*=1.2, c*=0.6 and consequently C*+2c*=2.4).<br />

The consequence is th<strong>at</strong> a person could be exposed to a much higher instantaneous<br />

concentr<strong>at</strong>ion in Bickenhall street even though the mean value is lower.<br />

Figure 5-5 Comparison of the (non-dimensional) mean concentr<strong>at</strong>ions (left) and<br />

variances (right) against receptor loc<strong>at</strong>ion along Bickenhall St, York St and Crawford<br />

St with source loc<strong>at</strong>ed <strong>at</strong> the Marylebone road-Gloucester Place intersection<br />

For source loc<strong>at</strong>ions in the east side of the model (X= 66mm, 132mm, 260mm and<br />

388mm), the mean concentr<strong>at</strong>ion profiles in Bickenhall Street, York Street and<br />

Crawford Street have f<strong>air</strong>ly similar behaviour, with mean concentr<strong>at</strong>ion and variance<br />

levels reduced with downstream distance. All sets of profiles are domin<strong>at</strong>ed by<br />

channelling of pollutant down Gloucester Place and into each side street respectively.<br />

The pollutant is channelled into Bickenhall Street, York Street and Crawford Street and<br />

is detected <strong>at</strong> up to around X= 400mm; ground level concentr<strong>at</strong>ions are not seen after<br />

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Chapter 5 Neighbourood/Street scale results<br />

this point due to the presence of high and wide buildings (7, 10 and 10a). In Bickenhall<br />

Street the peaks of the profile’s back is broader compared to the other profiles. This is<br />

another example of the variability of the results due to the building geometry.<br />

Moving the source further away from the intersection (X=514mm) peaks of mean<br />

concentr<strong>at</strong>ion and variance appear on all the profiles <strong>at</strong> x = 400 mm; it is unclear why<br />

this peak occurs as it is far from an intersection or parallel street. Probably there is a<br />

contribution to the pollutant levels coming from tracer carried over roof tops and<br />

exchanged into the street; the lack of concentr<strong>at</strong>ion measurements <strong>at</strong> roof height doesn’t<br />

allow to verify this affirm<strong>at</strong>ion.<br />

As previously observed for the -90° model orient<strong>at</strong>ion, concentr<strong>at</strong>ion variance results,<br />

(see figure 5-4) show almost the same p<strong>at</strong>tern as the mean concentr<strong>at</strong>ion, but with<br />

sharper peaks <strong>at</strong> the intersections.<br />

5.2.2 Concentr<strong>at</strong>ion vs. source loc<strong>at</strong>ion<br />

This type of analysis of the experimental measures was carried out for several receptor<br />

loc<strong>at</strong>ions in order to evalu<strong>at</strong>e the mean concentr<strong>at</strong>ions due to the emission of a uniform<br />

line source loc<strong>at</strong>ed in Marylebone road between Balcombe St and Baker St and<br />

determine the contribution of the <strong>different</strong> source loc<strong>at</strong>ions belonging to the line<br />

emission. Only receptor loc<strong>at</strong>ions where meaningful amounts of tracer concentr<strong>at</strong>ion<br />

have been detected (complete profiles between Balcombe St and Baker St, see for<br />

example figure 5-6) were examin<strong>at</strong>ed. Receptor <strong>at</strong> <strong>different</strong> heights (experiments with -<br />

90° model orient<strong>at</strong>ion) and <strong>at</strong> <strong>different</strong> distance downwind the line source (experiments<br />

with +90° model orient<strong>at</strong>ion) were investig<strong>at</strong>ed to study how the mean concentr<strong>at</strong>ion<br />

from a line source can change for vari<strong>at</strong>ion of this two parameters (height and distance).<br />

Firstly, the results for the -90 degree model orient<strong>at</strong>ion will be shown, and then the +90°<br />

model orient<strong>at</strong>ion result will be presented.<br />

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Chapter 5 Neighbourood/Street scale results<br />

-90° model orient<strong>at</strong>ion<br />

Plots of the (non-dimensional) mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone road for <strong>different</strong> receptor loc<strong>at</strong>ions (X=-150mm, -75mm, 0mm, 75mm,<br />

150mm, 240mm, 300mm and 390mm, see figure 3-13) and heights (ground level,<br />

Z=10mm, mid canyon, Z=50mm, roof of building 1 loc<strong>at</strong>ed in Dorset Sq, Z=90mm, and<br />

roof of building 3 loc<strong>at</strong>ed in Melcombe St, Z=160mm) along Dorset square/Melcombe<br />

Street (Y=540mm) are reported in the figure 5-6. Rel<strong>at</strong>ed mean concentr<strong>at</strong>ion obtained<br />

from integral calcul<strong>at</strong>ion and <strong>at</strong>tributable to a uniform and steady line source emission<br />

in Marylebone road are presented in the figure 5-7.<br />

As highlighted in figures 5-6, three groups of receptors can be identified on the base of<br />

the extension of the line source th<strong>at</strong> can influence exposure levels <strong>at</strong> a specific receptor<br />

loc<strong>at</strong>ion:<br />

1. Receptors <strong>at</strong> X=0mm (intersection between Gloucester Place and Dorset<br />

square/Melcombe Street), X=-75 and -150 mm (loc<strong>at</strong>ed <strong>at</strong> Dorset Square, west<br />

side of the model) are under the influence of the source loc<strong>at</strong>ions between X=<br />

-500mm and 150 mm.<br />

2. Receptors <strong>at</strong> X=150, 240, 300 (loc<strong>at</strong>ed <strong>at</strong> Melcombe St, east side of the model)<br />

and 390 mm (intersection between Glentworth Street and Melcombe Street) are<br />

influenced by source loc<strong>at</strong>ions between -100 and 600 mm.<br />

3. Receptor <strong>at</strong> X=75 mm (sp<strong>at</strong>ially between the two groups listed before) is under<br />

the influence of all sources th<strong>at</strong> are a contributing factor for the previous groups<br />

of receptors (loc<strong>at</strong>ions between -500 and 600 mm).<br />

Similar trends of the mean concentr<strong>at</strong>ion profiles can be identified for each of the<br />

groups of receptors cited above <strong>at</strong> all the <strong>different</strong> heights analyzed; receptors loc<strong>at</strong>ed <strong>at</strong><br />

the intersections show higher values than the other receptors of a single group, as it is to<br />

be expected for a receptors directly downwind the line source. In general, intersections<br />

are the most exposed loc<strong>at</strong>ions to a uniform line emission (see figure 5-7).<br />

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Chapter 5 Neighbourood/Street scale results<br />

Figure 5-6 Non-dimensional mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone road for <strong>different</strong> receptor loc<strong>at</strong>ions and heights along Dorset<br />

square/Melcombe Street<br />

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Chapter 5 Neighbourood/Street scale results<br />

ClineUH/q<br />

4.5<br />

4.0<br />

3.5<br />

3.0<br />

2.5<br />

2.0<br />

1.5<br />

1.0<br />

0.5<br />

0.0<br />

-200 -100 0 100 200 300 400<br />

X receptor loc<strong>at</strong>ion (mm)<br />

Z=10 mm Z=50mm Z=90 mm Z=160 mm<br />

Figure 5-7 Non-dimensional mean concentr<strong>at</strong>ion due to a steady line source in<br />

Marylebone Road for <strong>different</strong> receptor loc<strong>at</strong>ions and heights along Dorset<br />

square/Melcombe Street<br />

Under the roof height (Z=90mm for receptor in Dorset Sq and Z=160mm for receptors<br />

in Melcombe St), the mean concentr<strong>at</strong>ions from every source loc<strong>at</strong>ion <strong>at</strong> a specific<br />

receptor remains approxim<strong>at</strong>ely the same for every <strong>different</strong> heights considered; this<br />

evidence demonstr<strong>at</strong>e th<strong>at</strong> inside the canopy (both in correspondence of intersections,<br />

squares and street canyons) the mixing of the pollutant and his recircul<strong>at</strong>ion behind the<br />

building due to the local flow has the effect of spreading more or less uniformly the<br />

pollutant over the entire height of the local geometry of the canopy. This behaviour is<br />

particularly evident in the street canyon of Melcombe St, where the mean<br />

concentr<strong>at</strong>ions appear to be almost the same not only for <strong>different</strong> heights, but also for<br />

the entire length (see receptors <strong>at</strong> X=150, 240 and 300mm in the figures 5-6 and 5-7)<br />

and width (same concentr<strong>at</strong>ions in the leeward side, X=515mm, windward side,<br />

X=580mm and <strong>at</strong> the center of the street canyon, X=540mm, see figure 5-8) of the<br />

canyon. Below the roof level all the receptor loc<strong>at</strong>ions appear to be exposed to high<br />

values of mean concentr<strong>at</strong>ions due to a uniform line source (see figure 5-7); difference<br />

between concentr<strong>at</strong>ions from a line source detected <strong>at</strong> the intersections and elsewhere<br />

are not so significant.<br />

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Chapter 5 Neighbourood/Street scale results<br />

Figure 5-8 Non-dimensional mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone Rd for ground level receptor loc<strong>at</strong>ions inside the street canyon of<br />

Melcombe St: leeward side, X=515mm, windward side, X=580mm and center of the<br />

street canyon, X=580mm<br />

For all the receptor loc<strong>at</strong>ions, decreases on mean concentr<strong>at</strong>ions are detected <strong>at</strong> roof<br />

level and outside the canopy. These reduces are very significant in correspondence of a<br />

street canyon (see for example receptor <strong>at</strong> X=150, 240 and 300mm), where the<br />

concentr<strong>at</strong>ions fall rapidly to very low values (till an order of 10 lower than<br />

concentr<strong>at</strong>ion inside the canyon), while smoother decreases are seen in proximity of<br />

(X=75 and -75mm) and, especially, <strong>at</strong> the intersections (see X=0mm and X=390mm).<br />

The concentr<strong>at</strong>ion reduction <strong>at</strong> the roof height is quite uniform for every source loc<strong>at</strong>ion<br />

considered, with the exclusion of the source loc<strong>at</strong>ions between X=-400mm and X=-<br />

200mm, for which the decrease is less evident. These sources are loc<strong>at</strong>ed in proximity<br />

of the Mar<strong>at</strong>hon House tower (loc<strong>at</strong>ed in building 2 between X=-404 and X=-327); the<br />

presence of a tall buildings (Z=265mm) cre<strong>at</strong>es additional mixing effects th<strong>at</strong> permits to<br />

lift and transport the pollutant over the roof. Pollutant exchange with the mean flow <strong>at</strong><br />

roof level is confirmed by the fact th<strong>at</strong>, for the receptor loc<strong>at</strong>ion nearest to the Mar<strong>at</strong>hon<br />

House tower (X=-150mm), source position between X=-400 and -300mm produce the<br />

same mean concentr<strong>at</strong>ion <strong>at</strong> ground level as the ones due to a source loc<strong>at</strong>ed <strong>at</strong> the main<br />

intersection (X=0mm); in this case pollutant levels are defined not only by channeling<br />

effects inside the canopy but also by exchange mechanisms <strong>at</strong> roof levels.<br />

The effect of Mar<strong>at</strong>hon House tower is visible also in the north side of Dorset Square<br />

(Y=-845), where mean concentr<strong>at</strong>ion values <strong>at</strong> roof height are equal or higher than ones<br />

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Chapter 5 Neighbourood/Street scale results<br />

inside the canopy (see figure 5-9). This behaviour shows th<strong>at</strong> the re-circul<strong>at</strong>ion present<br />

in a street canyon does not occur to the same degree as in an open space with a large<br />

garden as Dorset Square, where much of the pollutant is simply carried over the roof<br />

height and not caught in a re-circul<strong>at</strong>ion, giving lower dosage levels <strong>at</strong> ground levels.<br />

Figure 5-9 Non-dimensional mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone Rd for <strong>different</strong> receptor loc<strong>at</strong>ions and height in the north side of Dorset<br />

Square (Y=-845)<br />

+90° model orient<strong>at</strong>ion<br />

Plots of the (non-dimensional) mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone road for <strong>different</strong> ground level (Z=10mm) receptor loc<strong>at</strong>ions along the<br />

three parallel streets downwind of the source (Bickenhall Street, Y=-340mm, York<br />

Street, Y=-719mm, and Crawford Street, Y=-1060mm) are reported in the figure 5-10.<br />

Rel<strong>at</strong>ed mean concentr<strong>at</strong>ion due to a uniform and continuous line source derived from<br />

integral calcul<strong>at</strong>ion are shown in the figure 5-11.<br />

Similar trends of the mean concentr<strong>at</strong>ion profiles for every receptors considered can be<br />

seen in York Street and Crawford Street (see figure 5-11); Bickenhall Street, on the<br />

contrary, show a <strong>different</strong> behaviour of the mean concentr<strong>at</strong>ions profiles, especially, for<br />

receptors west of the Gloucester Place intersection (X=-277mm, X=-337mm and X=-<br />

431mm). This most probably arises because of the similar street geometry of the first<br />

two streets, th<strong>at</strong> it is quite <strong>different</strong> from Bickenhall Street one (geometry characterized<br />

by the presence of an intersection with a building offset in the west side of the model).<br />

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Chapter 5 Neighbourood/Street scale results<br />

Figure 5-10 Non-dimensional mean concentr<strong>at</strong>ion against source loc<strong>at</strong>ion along<br />

Marylebone road for ground level (Z=10mm) receptor loc<strong>at</strong>ions along Bickenhall<br />

Street (top-left), York Street (bottom) and Crawford Street (top-right)<br />

ClineUH/q<br />

-450 -350 -250 -150<br />

0.0<br />

-50 50 150 250<br />

X receptor loc<strong>at</strong>ion (mm)<br />

Bickenhall St York St Crawford St<br />

Figure 5-11 Non-dimensional mean concentr<strong>at</strong>ion due to a steady line source in<br />

Marylebone Road for receptor loc<strong>at</strong>ions in Bickenhall St, York St and Crawford St<br />

216<br />

4.5<br />

4.0<br />

3.5<br />

3.0<br />

2.5<br />

2.0<br />

1.5<br />

1.0<br />

0.5


Chapter 5 Neighbourood/Street scale results<br />

In general, mean concentr<strong>at</strong>ions from a uniform line source in Marylebone road (see<br />

figure 5-11) are highest in Bickenhall Street, closest street to the line source.<br />

Concentr<strong>at</strong>ion levels reduce with downstream distance through York Street and<br />

Crawford Street; the lower concentr<strong>at</strong>ions are due to the dilution of the plume over the<br />

increased distance it has to travel. There is an important exception to this behaviour, th<strong>at</strong><br />

is the mean concentr<strong>at</strong>ion value <strong>at</strong> the receptor site loc<strong>at</strong>ed in correspondence of the<br />

main intersection between Gloucester Place and Bickenhall Street; in this case the mean<br />

concentr<strong>at</strong>ion is lower than <strong>at</strong> York Street and Crawford street intersections. This is<br />

probably due to the fact th<strong>at</strong> the plume <strong>at</strong> Bickenhall intersection is still narrow, not well<br />

mixed and consequently characterized by high concentr<strong>at</strong>ion variances (see for example<br />

figure 5-12) and contemporary further downstream concentr<strong>at</strong>ions may remain<br />

rel<strong>at</strong>ively high <strong>at</strong> street level due to the limited vertical lofting of the channelized plume.<br />

Figure 5-12 Comparison of the (non-dimensional) mean concentr<strong>at</strong>ions (left) and<br />

variances (right) against source loc<strong>at</strong>ion <strong>at</strong> Marylebone Rd for receptor loc<strong>at</strong>ions in<br />

Bickenhall St (Y=-340mm), York St (Y=-719mm) and Crawford St (Y=-1080mm)<br />

Mean concentr<strong>at</strong>ions from a line source appear to be significantly lower far away from<br />

receptors loc<strong>at</strong>ed <strong>at</strong> the intersections directly exposed to the line source (Gloucester Pl-<br />

Bickenhall St, Gloucester Pl-York St, Gloucester Pl-Crawford St and canyon 5/6-<br />

Bickenhall street intersections). This behaviour is substantially <strong>different</strong> from the case<br />

with a -90° model orient<strong>at</strong>ion (see figure 5-7), where the concentr<strong>at</strong>ion due to the<br />

uniform line emission are quite similar everywhere along Dorset Square/Melcombe<br />

Street (both <strong>at</strong> the intersection and inside the canyon). The concentr<strong>at</strong>ion levels seen in<br />

Dorset Square\Melcombe Place are higher than concentr<strong>at</strong>ions detected with +90°<br />

model orient<strong>at</strong>ion; the street geometry is more open in this case allowing for easier<br />

exchange and transport of pollutant.<br />

217


Chapter 5 Neighbourood/Street scale results<br />

5.2.3 Dose estim<strong>at</strong>ion<br />

The mean concentr<strong>at</strong>ion profiles presented in the previous section 5.2.2 (concentr<strong>at</strong>ion<br />

against source loc<strong>at</strong>ion) were used to calcul<strong>at</strong>e the dosage levels seen <strong>at</strong> various receptor<br />

loc<strong>at</strong>ions along downwind streets for a source moving along Marylebone Road. In<br />

particular, this d<strong>at</strong>a were used to simul<strong>at</strong>e <strong>air</strong> <strong>pollution</strong> levels due to emissions from a<br />

single car driving along Marylebone Road. Several driving scenarios were devised to<br />

give some insight into various dosage levels th<strong>at</strong> might be experienced from a car<br />

travelling along Marylebone Road in <strong>different</strong> manners (e.g. free traffic flow with<br />

constant speed or waiting <strong>at</strong> the sets of traffic lights). The dosage values carried out are<br />

ensemble averages of a car driving down the street many times in an identical manner.<br />

These estim<strong>at</strong>ions were carried out only for ground level concentr<strong>at</strong>ion (Z=10mm), the<br />

most significant height for estim<strong>at</strong>ion of traffic exposure levels of the popul<strong>at</strong>ion.<br />

The following driving scenarios were analyzed for the -90° model orient<strong>at</strong>ion; for better<br />

understanding, the scenarios were described in full scale terms.<br />

• Case 1: constant speed of 15 km/h along the entire route in Marylebone<br />

Road<br />

• Case 2: constant speed (15 km/h) with a stop of one minute (0.3 s in model<br />

scale) <strong>at</strong> the traffic light loc<strong>at</strong>ion in the west side of the intersection between<br />

Marylebone Road and Gloucester Place (X=-50mm in model coordin<strong>at</strong>es).<br />

• Case 3: constant speed (15 km/h) with a stop of one minute <strong>at</strong> the traffic<br />

light loc<strong>at</strong>ion in the east side of the intersection between Marylebone Road<br />

and Gloucester Place (X=50mm in the model),<br />

• Case 4: constant speed (15 km/h) with a stop of one minute <strong>at</strong> the<br />

intersection between Marylebone Road and Glenworth Street (X = 400mm in<br />

model coordin<strong>at</strong>es)<br />

• Case 5: Constant speed (15 km/h) with a stop of one minute <strong>at</strong> the centre of<br />

the intersection between Marylebone Road and Gloucester Place (X=0 mm<br />

in model coordin<strong>at</strong>es).<br />

218


Chapter 5 Neighbourood/Street scale results<br />

For +90° model orient<strong>at</strong>ion the scenarios have been changed to reflect the differing<br />

street geometry downwind of Marylebone Road; the following driving p<strong>at</strong>terns were<br />

examin<strong>at</strong>ed:<br />

• Case 1: constant speed of 15 km/h along the entire route in Marylebone<br />

Road<br />

• Case 2: constant speed (15 km/h) with a stop of one minute <strong>at</strong> the traffic<br />

light loc<strong>at</strong>ion in the west side of the intersection between Marylebone Road<br />

and Gloucester Place<br />

• Case 3: constant speed (15 km/h) with a stop of one minute <strong>at</strong> the traffic<br />

light loc<strong>at</strong>ion in the east side of the intersection between Marylebone Road<br />

and Gloucester Place (X=66mm in model coordin<strong>at</strong>es)<br />

• Case 4: constant speed (15 km/h) with a stop of one minute <strong>at</strong> the Tintersection<br />

between Marylebone Road and street canyon 5-6 (X =-337mm<br />

in model coordin<strong>at</strong>es).<br />

• Case 5: Constant speed (15 km/h) with a stop of one minute <strong>at</strong> the centre of<br />

the intersection between Marylebone Road and Gloucester Place (X=0 mm<br />

in model coordin<strong>at</strong>es).<br />

Waits of one minute <strong>at</strong> each chosen loc<strong>at</strong>ion are f<strong>air</strong>ly realistic; traffic light timings<br />

measured in the field during the DAPPLE campaign (Arnold et al., 2004) show th<strong>at</strong><br />

usually traffic light stays red for around 50 seconds. A speed of 15 km/h was chosen on<br />

the base of the mean speed recorded in the field experiments (releases from a car)<br />

carried out on the 11 th November 2004 in the framework of the DAPPLE-HO project<br />

(Shallcross et al., 2005). However, higher or lower constant speeds of the car can be<br />

evalu<strong>at</strong>ed considering th<strong>at</strong> increase of the dose are proportionally linear to decrease of<br />

the car speed. As m<strong>at</strong>ter of facts, in the integr<strong>at</strong>ion method used in this work, the travel<br />

time between two source loc<strong>at</strong>ion was calcul<strong>at</strong>ed by dividing the distance between the<br />

sources by the car speed plus; additional waiting time were considered in th<strong>at</strong> cases<br />

where a stop of the car in a particular loc<strong>at</strong>ion was analyzed.<br />

Non-dimensional mean dose of the 5 driving scenarios for ground level (Z=10mm)<br />

receptor loc<strong>at</strong>ions along Melcombe Street/Dorset Square obtained with the -90° model<br />

219


Chapter 5 Neighbourood/Street scale results<br />

orient<strong>at</strong>ion are reported in the figure 5-13; while non-dimensional mean dose carried out<br />

with the +90° model orient<strong>at</strong>ion for ground level (Z=10mm) receptor loc<strong>at</strong>ions along<br />

the three parallel streets downwind of the source (Bickenhall Street, Y=-340mm, York<br />

Street, Y=-719mm, and Crawford Street, Y=-1060mm) are reported respectively in the<br />

figure 5-14 , 5-15 and 5-16.<br />

Figure 5-13 Non-dimensional mean dose <strong>at</strong> ground level receptors along Melcombe<br />

St/Dorset Sq for <strong>different</strong> driving scenarios<br />

Figure 5-14 Non-dimensional mean dose <strong>at</strong> ground level receptors along<br />

Bickenhall St for <strong>different</strong> driving scenarios<br />

220


Chapter 5 Neighbourood/Street scale results<br />

Figure 5-15 Non-dimensional mean dose <strong>at</strong> ground level receptors along York St<br />

for <strong>different</strong> driving scenarios<br />

Figure 5-16 Non-dimensional mean dose <strong>at</strong> ground level receptors along Crawford<br />

St for <strong>different</strong> driving scenarios<br />

The case where the car moved <strong>at</strong> constant speed through the model (Case 1) consistently<br />

has the lowest associ<strong>at</strong>ed dosage for all receptors downwind of the source; this is<br />

evident for all orient<strong>at</strong>ions and downwind streets considered. Cars not stopping clearly<br />

don’t leave any time for <strong>pollution</strong> to accumul<strong>at</strong>e. This case evidently shows how<br />

221


Chapter 5 Neighbourood/Street scale results<br />

keeping traffic moving free through city streets can reduce overall dosage levels. The<br />

highest dosages were always seen <strong>at</strong> the main intersection.<br />

For all the scenarios where the simul<strong>at</strong>ed car stops <strong>at</strong> or near the main intersection<br />

(Cases 2, 3, and 5), impressive increases on dosage levels were seen; in all cases (both -<br />

90° and +90° model orient<strong>at</strong>ions) high dosage levels are seen in the downwind streets,<br />

even for the streets more distant from the source (i.e. Crawford street with +90°model<br />

orient<strong>at</strong>ion). In the cases 2 and 3, where the waiting loc<strong>at</strong>ion is <strong>at</strong> the traffic light<br />

(loc<strong>at</strong>ion just off centre of the intersection), <strong>different</strong> behaviour can be identified for: 1)<br />

receptor loc<strong>at</strong>ions <strong>at</strong> the intersection or in the opposite side of the waiting loc<strong>at</strong>ion and<br />

2) receptor loc<strong>at</strong>ions in the same side of the waiting loc<strong>at</strong>ion. For the first group of<br />

receptors slightly lower dosages are seen than in case 5 (stops <strong>at</strong> the centre of the<br />

intersection), while for the second ones higher value can be detected. These results<br />

show the effect of cars waiting <strong>at</strong> traffic lights: in all cases, with only one exception<br />

(case 3 for the -90° orient<strong>at</strong>ion), the highest dosages are seen by people in the<br />

downwind street in correspondence of the main intersection. In most of the cases the<br />

dosage levels can be 3-4 times higher than a car moving through <strong>at</strong> constant speed. In<br />

addition to this, considering street <strong>at</strong> <strong>different</strong> distance downwind the source (+90°<br />

model orient<strong>at</strong>ion) the overall dosage levels remain high for the receptors in the centre<br />

of all the downwind streets and not falling significantly over the entire length of the<br />

street.<br />

The exception previously mentioned was case 3 for the -90° model orient<strong>at</strong>ion, with<br />

receptors in Dorset Square/Melcombe Street; although in this case the car stops near to<br />

the intersection, higher dosage levels was seen elsewhere along the street canyon of<br />

Melcombe Place and in particular <strong>at</strong> the intersection with Glentworth Street. This is a<br />

good example of how predicting the <strong>dispersion</strong> and hence loc<strong>at</strong>ion of the highest<br />

dosages is not always an easy task.<br />

For cases with offset waits from the main intersection (case 4), generally lower dosage<br />

levels were seen. However where street geometry dict<strong>at</strong>es (i.e. in small canyons parallel<br />

to oncoming flow, such as the 5-6 canyon or Glentworth St) dosage levels can be high.<br />

Once, however, a receptor is far enough away from the ‘waiting loc<strong>at</strong>ion’ the dosages<br />

levels fall to being similar to the constant speed case.<br />

222


Chapter 5 Neighbourood/Street scale results<br />

The results for all cases show th<strong>at</strong> waiting <strong>at</strong> or near intersections gre<strong>at</strong>ly increases the<br />

downwind dosage for a person immedi<strong>at</strong>ely downwind, i.e. X=0mm. Often high dosage<br />

remain in adjacent side streets and further street downwind. This shows how pollutant<br />

from a main street can affect several streets downwind.<br />

Vari<strong>at</strong>ions in local street geometry can cause large vari<strong>at</strong>ions in the dosages seen by<br />

people nearby, such as those seen in Bickenhall Street <strong>at</strong> X=-139, just behind the<br />

building 6 (+90° model orient<strong>at</strong>ion) or in Melcombe Street <strong>at</strong> X=75, just behind the<br />

corner of building 3 (-90° model orient<strong>at</strong>ion), where dosages were seen to be gre<strong>at</strong>ly<br />

reduced.<br />

The estim<strong>at</strong>ion of the dose carried out in this work has given insight into the effect of<br />

<strong>different</strong> car movements and their impact on receptors or people downwind.<br />

Figure 5-17 Schem<strong>at</strong>ic of the experimental field campaign carried out on<br />

November ‘04 in the framework of the DAPPLE-HO project (Shallcross et al., 2005)<br />

223


Chapter 5 Neighbourood/Street scale results<br />

In order to evalu<strong>at</strong>e the reliability of these results, a comparison with the d<strong>at</strong>a of the<br />

field campaign carried out on the 11 th November 2004 in the framework of the<br />

DAPPLE-HO project (Shallcross et al., 2005) was done. In this campaign two<br />

experiments involving tracer releases from a car moving along Marylebone Road were<br />

executed; the wind direction was the same used in the experiments with model<br />

orient<strong>at</strong>ion equal to +90° and receptors in York Street were investig<strong>at</strong>ed in analogy with<br />

the wind tunnel experiments (see schem<strong>at</strong>ic diagram of the experimental arrangement in<br />

figure 5-17).<br />

For comparison purpose, two further cases were analyzed considering a +90° model<br />

orient<strong>at</strong>ion, receptors 9, 10, 11, 12 and 13 in York Street and the car speed recorded<br />

during the two field experiments (see figure 5-18); the car speeds between Baker Street<br />

and Upper Montagu/ Balcombe Street were used to estim<strong>at</strong>e the travel time between the<br />

source loc<strong>at</strong>ions analyzed in the wind tunnel experiments, necessary to carry out the<br />

integral calcul<strong>at</strong>ion of the dose.<br />

Figure 5-18 Car speed and position during experiment 1 (top) and 2 (bottom)<br />

carried out on November ‘04 in the framework of the DAPPLE-HO project<br />

(Shallcross et al., 2005)<br />

224


Chapter 5 Neighbourood/Street scale results<br />

Results obtained are reported and compared with d<strong>at</strong>a from the field campaign in table<br />

5-1.<br />

Receptor<br />

Experiment 1 Experiment 2<br />

Field Wind tunnel Field Wind tunnel<br />

9 0.227 0.231 --- 0.346<br />

10 0.237 0.169 0.256 0.254<br />

11 0.171 0.155 0.318 0.232<br />

12 0.138 0.221 0.395 0.331<br />

Table 5-1 Comparison of doses (in non-dimensional form) measured in the field<br />

campaign and estim<strong>at</strong>ed from wind tunnel experiment<strong>at</strong>ion<br />

Considering the unsteadiness characteristic of the field experiments, very encouraging<br />

agreement between labor<strong>at</strong>ory and field results were found; this demonstr<strong>at</strong>e the<br />

capability of the method used in wind tunnel to estim<strong>at</strong>e reliably the exposure dosages<br />

due to traffic emission.<br />

225


Chapter 5 Neighbourood/Street scale results<br />

5.3 Correl<strong>at</strong>ion experiment results<br />

This experiment<strong>at</strong>ion was aimed <strong>at</strong> giving detailed inform<strong>at</strong>ion on how two point<br />

sources interact to give increased or diminished total concentr<strong>at</strong>ion fluctu<strong>at</strong>ions and the<br />

associ<strong>at</strong>ed correl<strong>at</strong>ion; the correl<strong>at</strong>ion of two sources can be vitally important in<br />

measuring instantaneous concentr<strong>at</strong>ion levels as a result of emissions from traffic<br />

source. Two <strong>different</strong> investig<strong>at</strong>ions were carried out during this set of experiments;<br />

firstly a preliminary work with the undisturbed boundary layer (UBL, see section 5.3.1),<br />

aimed <strong>at</strong> testing the method of measure and, then, an extensive study with the Dapple<br />

model (see section 5.3.2). Only ground level receptor loc<strong>at</strong>ions were analyzed in both<br />

investig<strong>at</strong>ions.<br />

5.3.1 Undisturbed boundary layer<br />

Several measurements of the correl<strong>at</strong>ion between concentr<strong>at</strong>ion fluctu<strong>at</strong>ions of two<br />

point sources were carried out for a wide range of separ<strong>at</strong>ions of the sources, various<br />

downstream distance of the receptor from the sources (Y=270mm, 540mm and<br />

1080mm) and receptor loc<strong>at</strong>ions (inline with the reference source, X=0mm, or offset,<br />

X=100mm). Only one reference source loc<strong>at</strong>ion (X=0mm, Y=0mm) was used in this<br />

preliminary experiment. The d<strong>at</strong>a obtained with receptor loc<strong>at</strong>ion <strong>at</strong> (X=100mm,<br />

Y=270) were discarded because the reference source signal on this receptor was too<br />

weak (<strong>at</strong> least an order of 10 smaller than the other source loc<strong>at</strong>ion), causing percentage<br />

error in the calcul<strong>at</strong>ion of the correl<strong>at</strong>ion coefficient unacceptable (larger than 50%, see<br />

section 3.5.4). Results are shown in figures 5-19 and 5-20.<br />

Figures 5-19 and 5-20 (left curves) show profiles of the concentr<strong>at</strong>ion variances c 2<br />

against source separ<strong>at</strong>ion. 2<br />

c 1 and 2<br />

c 2 are variances measurements for each source<br />

oper<strong>at</strong>ing separ<strong>at</strong>ely and ( ) 2<br />

c + c for both source oper<strong>at</strong>ing together;<br />

1<br />

2<br />

226<br />

2<br />

c 1 referred to the<br />

source th<strong>at</strong> remain fixed in the reference position, while 2<br />

c 2 comes from the source<br />

which moves <strong>at</strong> <strong>different</strong> separ<strong>at</strong>ion along the perpendicular direction to the wind.<br />

The c1 variance measurements (fixed source) were generally constant throughout each<br />

of the <strong>different</strong> case studied, as required for the correl<strong>at</strong>ion estim<strong>at</strong>ion. The variability of


Chapter 5 Neighbourood/Street scale results<br />

the measurements appeared to depend on the receptor loc<strong>at</strong>ions. Receptors closer to the<br />

source showed sc<strong>at</strong>ter over a larger range in values; this may have had the effect of<br />

slightly increasing the error of the correl<strong>at</strong>ion factor. The only factor th<strong>at</strong> affected the c1<br />

measurements was the interference seen between the two stacks <strong>at</strong> close separ<strong>at</strong>ion.<br />

This generally occurred in all the measurements, but can be seen only <strong>at</strong> extremely close<br />

separ<strong>at</strong>ion (about 20 mm), where it is known th<strong>at</strong> the correl<strong>at</strong>ion coefficient is<br />

approxim<strong>at</strong>ely one; so the correl<strong>at</strong>ion estim<strong>at</strong>ion was not seriously affected. This same<br />

interference was seen in Warhaft (1984) and appears to be unavoidable in this type of<br />

experiment.<br />

The c2 variance measurements all followed similar profile shapes; the concentr<strong>at</strong>ions<br />

seen <strong>at</strong> the receptor showed a Gaussian behaviour with the maximum loc<strong>at</strong>ed <strong>at</strong> the<br />

point directly upwind of the receptor. The c1+c2 variance measurements curves showed<br />

th<strong>at</strong> the total variance was increased when the sources were close together. In both<br />

measurements the plume appeared to grow in width with the downstream distance.<br />

The overall levels of fluctu<strong>at</strong>ions fell off rapidly with downstream distance (for example<br />

with an inline receptor non-dimensional c1 variance decreased from about 37, <strong>at</strong><br />

Y=270mm, to 2.9, <strong>at</strong> Y=540mm, and 0.11, <strong>at</strong> Y=1080, see figure 5-19); this decay in<br />

variance was also seen in other <strong>dispersion</strong> experiments, such as Fackrell & Robins<br />

(1982).<br />

Variance measurements with an offset receptor show similar behaviour to the case of an<br />

inline receptor. The variance levels dropped with downstream distance and the plumes<br />

appeared to grow in width. The total variance is reduced in comparison to inline<br />

receptor (for example <strong>at</strong> Y=540mm the maximum value of the non-dimensional c1+c2<br />

variance decreased from 9.0 <strong>at</strong> Y=270mm to 2.0 <strong>at</strong> Y=540mm) caused by the fact th<strong>at</strong><br />

receptor was not loc<strong>at</strong>ed in the centre of the reference source plume. For an offset<br />

receptor loc<strong>at</strong>ion the c2 variance measurements can be higher than the c1 values; this did<br />

not occur for the receptor inline with the source as the reference source was always in a<br />

loc<strong>at</strong>ion directly downwind and closest to the receptor. Despite the offset receptor<br />

seeing these higher values of c2 when the mobile source was inline with receptor, the<br />

highest total variance was still seen when the sources were closest together.<br />

227


Chapter 5 Neighbourood/Street scale results<br />

From 2<br />

c 1 ,<br />

c and ( ) 2<br />

c<br />

2<br />

2<br />

c + measurements (left curves of figures 5-19 and 5-20), the<br />

1<br />

2<br />

profiles of the correl<strong>at</strong>ion against source separ<strong>at</strong>ion (right curves of figures 5-19 and 5-<br />

20) were obtained by means of the following formula:<br />

COR =<br />

( + c )<br />

1<br />

2<br />

2<br />

c − c − c<br />

2c<br />

2<br />

1<br />

2<br />

1<br />

2<br />

2<br />

Figure 5-19 Non dimensional<br />

c ,<br />

2<br />

1<br />

2<br />

c 2 and ( ) 2<br />

1 c2<br />

228<br />

c + against source separ<strong>at</strong>ion (left<br />

graphs) and inferred correl<strong>at</strong>ion (right) for receptor loc<strong>at</strong>ions inline with the<br />

reference source (X=0mm) <strong>at</strong> <strong>different</strong> distances (Y=270, 540 and 1080 mm)


Chapter 5 Neighbourood/Street scale results<br />

Figure 5-20 Non dimensional<br />

c ,<br />

2<br />

1<br />

2<br />

c 2 and ( ) 2<br />

1 c2<br />

229<br />

c + against source separ<strong>at</strong>ion (left<br />

graphs) and inferred correl<strong>at</strong>ion (right) for receptor loc<strong>at</strong>ions inline with the<br />

reference source (X=0mm) <strong>at</strong> <strong>different</strong> downstream distances (Y= 540 and 1080 mm)<br />

Correl<strong>at</strong>ion results for receptor loc<strong>at</strong>ions inline with the reference source will be<br />

analyzed first.<br />

The correl<strong>at</strong>ion coefficient was consistently shown to be a function of the source<br />

separ<strong>at</strong>ion. At large spacing the results tended to show correl<strong>at</strong>ions of zero; as the<br />

sources moved closer together the correl<strong>at</strong>ion increased to a maximum value of one,<br />

when the separ<strong>at</strong>ion tended to be zero. Where the increase occurs depends on the<br />

downstream distance of the receptor. The maximum correl<strong>at</strong>ion of one (receptor sees<br />

perfectly correl<strong>at</strong>ed plumes from both sources leading to an increase in the total<br />

variance) was seen for all receptors, regardless of loc<strong>at</strong>ion (inline or offset).<br />

The correl<strong>at</strong>ion coefficient turns out to be also a function of the downstream distance of<br />

the receptor. Looking <strong>at</strong> the results with a receptor loc<strong>at</strong>ion inline with the reference


Chapter 5 Neighbourood/Street scale results<br />

source (see right curves of figure 5-19), <strong>at</strong> short distances from the source (Y=270mm),<br />

the receptor sees positively correl<strong>at</strong>ed results only for very small separ<strong>at</strong>ion (±<br />

37.5mm); the plumes from each source have not had enough time to grow sufficiently<br />

wide, <strong>at</strong> these short distances, and do not overlap <strong>at</strong> anything other than small<br />

separ<strong>at</strong>ions. For increasing distances the correl<strong>at</strong>ion profiles widen; <strong>at</strong> Y=540mm and<br />

1080mm correl<strong>at</strong>ion <strong>different</strong> from zero are seen respectively for separ<strong>at</strong>ion between<br />

about ± 75mm and ± 150mm. This means th<strong>at</strong> the receptors further downwind sees<br />

positively correl<strong>at</strong>ed concentr<strong>at</strong>ions for a larger range of source separ<strong>at</strong>ions; this<br />

behaviour is caused by the plumes mixing as they grow l<strong>at</strong>erally over the downstream<br />

distance, and hence the increased chance of seeing pollutant from both sources <strong>at</strong> the<br />

same time increasing the total variance. A more clear demonstr<strong>at</strong>ion of the influence of<br />

the downstream distance on correl<strong>at</strong>ion results can be obtained plotting the correl<strong>at</strong>ion<br />

coefficient against downstream distance of the receptors for fixed source separ<strong>at</strong>ion (see<br />

figure 5-21).<br />

Correl<strong>at</strong>ion<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

separ<strong>at</strong>ion=+50<br />

separ<strong>at</strong>ion=-50<br />

separ<strong>at</strong>ion=+100<br />

separ<strong>at</strong>ion=-100<br />

0<br />

200<br />

-0.1<br />

400 600 800 1000<br />

Downstream distance (mm)<br />

Figure 5-21 Correl<strong>at</strong>ion coefficient - Downstream distances of receptors inline with<br />

the ref. source (X=0 mm) profiles for fixed source separ<strong>at</strong>ion (± 50 and ± 100 mm)<br />

The results obtained with an offset receptor loc<strong>at</strong>ion (X=100mm, see figure 5-20)<br />

confirmed th<strong>at</strong> correl<strong>at</strong>ion is a function of the source separ<strong>at</strong>ion and of the downstream<br />

distance of the receptor from the sources. Correl<strong>at</strong>ion coefficient obtained with this<br />

configur<strong>at</strong>ion shows a dependence on these two factors similar to wh<strong>at</strong> we see with an<br />

inline receptor loc<strong>at</strong>ion. For all receptor loc<strong>at</strong>ions considered, correl<strong>at</strong>ion profiles widen<br />

when the downstream distance increases, correl<strong>at</strong>ion values tends to be zero for large<br />

source separ<strong>at</strong>ion and the highest positive correl<strong>at</strong>ions are still present for close source<br />

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Chapter 5 Neighbourood/Street scale results<br />

separ<strong>at</strong>ions. In comparison to the inline receptor case, correl<strong>at</strong>ion results with an offset<br />

receptor showed a <strong>different</strong> behaviour when the mobile source (source 2) moves from<br />

reference source loc<strong>at</strong>ion towards a position inline with the receptor and further (for<br />

example source separ<strong>at</strong>ion between +75 and +250 mm with a downstream distance<br />

X=540mm). In this region the correl<strong>at</strong>ion coefficient becomes neg<strong>at</strong>ive indic<strong>at</strong>ing th<strong>at</strong><br />

the interaction between the plumes gener<strong>at</strong>es a destructive interference th<strong>at</strong> has the<br />

effect of diminishing the total concentr<strong>at</strong>ion variance. The neg<strong>at</strong>ive correl<strong>at</strong>ions region<br />

for increasing downstream distance of the receptor occur <strong>at</strong> a slightly larger source<br />

separ<strong>at</strong>ions (see figure 5-20).<br />

The results obtained here agree with Warhaft (1984); both study showed th<strong>at</strong> correl<strong>at</strong>ion<br />

between two sources are dependent on the separ<strong>at</strong>ion of the sources, the downstream<br />

distance of the receptor from the sources and the receptor loc<strong>at</strong>ion (inline or offset).<br />

This agreement permitted to demonstr<strong>at</strong>e the reliability of the method of measure<br />

implemented also for pollutant <strong>dispersion</strong> studies.<br />

5.3.2 Dapple model<br />

The correl<strong>at</strong>ion experiments with the Dapple model were carried out moving the sources<br />

along Marylebone road; only -90° model orient<strong>at</strong>ion and receptor loc<strong>at</strong>ions along Dorset<br />

Square/Melcombe Street were considered. Several combin<strong>at</strong>ions of receptor and<br />

reference source loc<strong>at</strong>ions were examined in order to evalu<strong>at</strong>e the full range of effects of<br />

the geometry of the local environment in the determin<strong>at</strong>ion of the fluctu<strong>at</strong>ions levels<br />

deriving from two point sources; in particular, we studied the two combin<strong>at</strong>ions<br />

previously analyzed with UBL <strong>at</strong> the downstream distance Y=540mm, plus the most<br />

relevant combin<strong>at</strong>ions (receptors shielded and/or reference sources shielded or not by<br />

buildings) in correspondence or in proximity of the main and secondary intersections<br />

along Dorset Square/Melcombe Street, loc<strong>at</strong>ions, where, during the moving source<br />

experiments, we identified the maximum fluctu<strong>at</strong>ion levels due to a single point source<br />

(for detail see section 3.5.3). The first two combin<strong>at</strong>ions were analyzed for comparison<br />

purpose, while the other permitted to evalu<strong>at</strong>e the most critical loc<strong>at</strong>ion in the model.<br />

Results rel<strong>at</strong>ive to the comparison between undisturbed boundary layer and Dapple<br />

model correl<strong>at</strong>ion are shown in figures 5-22 and 5-23; both correl<strong>at</strong>ion against source<br />

231


Chapter 5 Neighbourood/Street scale results<br />

separ<strong>at</strong>ion (bottom graph) and individual measures of the variances 2<br />

c 1 ,<br />

( ) 2<br />

c<br />

1<br />

2<br />

232<br />

2<br />

c 2 and<br />

c + (top graphs) th<strong>at</strong> had to be made in order to estim<strong>at</strong>e the value of the<br />

correl<strong>at</strong>ion coefficient are reported. All the other cases analyzed with the Dapple model<br />

are presented in figures 5-24/5-29; for brevity measures of the variances 2<br />

c 1 ,<br />

( ) 2<br />

c<br />

c + are not reported here.<br />

1<br />

2<br />

2<br />

c 2 and<br />

First, the comparison between undisturbed boundary layer and Dapple Model results<br />

will be discussed. Figures 5-22 and 5-23 shows th<strong>at</strong> the overall levels of concentr<strong>at</strong>ion<br />

variances ( c ,<br />

2<br />

1<br />

c and ( ) 2<br />

c<br />

2<br />

2<br />

c + ) are much lower in presence of the <strong>urban</strong> model than<br />

1<br />

2<br />

for the UBL case and th<strong>at</strong> pollutant can be seen inside the Dapple model for larger<br />

separ<strong>at</strong>ion than in open terrain; these behaviours are due to the increased mixing and<br />

dilution of the pollutant inside the <strong>urban</strong> canopy <strong>at</strong> short distances. As highlighted in the<br />

moving source experiments (see section 5.2.1 and 5.2.2), the variances obtained with<br />

the <strong>urban</strong> model appear to be significantly influenced by the local geometry of the<br />

canopy.<br />

2<br />

c 2 measurements, in particular, show profiles considerably <strong>different</strong> from the<br />

Gaussian profiles obtained for the UBL; also the total variances ( ) 2<br />

<strong>different</strong> characteristics in the two cases.<br />

c + c have<br />

As a consequence, correl<strong>at</strong>ion profiles with Dapple model show behaviours directly<br />

connected to the geometry of the local environment; this factor can gener<strong>at</strong>e important<br />

differences with the UBL cases. For example, the results obtained with receptor loc<strong>at</strong>ion<br />

and reference source <strong>at</strong> X=0mm and Dapple Model (figure 5-22) show a gre<strong>at</strong>ly larger<br />

region characterized by positive correl<strong>at</strong>ion for neg<strong>at</strong>ive separ<strong>at</strong>ions than the UBL case.<br />

This is due to strong circul<strong>at</strong>ing vortices developed for the presence of the Mar<strong>at</strong>hon<br />

House tower in the west side of Marylebone road, th<strong>at</strong> permits the plume to travel<br />

perpendicularly to the prevailing wind direction for large distance (400mm) from the<br />

intersection and so increase the fluctu<strong>at</strong>ion level <strong>at</strong> the receptor loc<strong>at</strong>ion. This same<br />

behaviour even more evident is present also for the case with receptor loc<strong>at</strong>ion offset (<strong>at</strong><br />

X=100mm, see figure 5-22); in this case the receptor is not directly downwind the<br />

reference source and for neg<strong>at</strong>ive separ<strong>at</strong>ion the mobile source contribution to the total<br />

variances is more similar to the one of the reference source, giving higher correl<strong>at</strong>ion<br />

values. Looking <strong>at</strong> positive separ<strong>at</strong>ion, recircul<strong>at</strong>ion vortices th<strong>at</strong> carry the plume<br />

1<br />

2


Chapter 5 Neighbourood/Street scale results<br />

towards the intersection are not present and the correl<strong>at</strong>ions obtained with Dapple model<br />

appear to be similar to the UBL case; only a slightly larger separ<strong>at</strong>ion area with positive<br />

correl<strong>at</strong>ion due to increased channelling and mixing of the plumes along Gloucester<br />

Place can be seen (0/+100mm with model instead of 0/+75mm with UBL).<br />

Although these significant differences, correl<strong>at</strong>ion profiles with Dapple model keep<br />

some common characteristics with the open terrain case. In both cases the correl<strong>at</strong>ion is<br />

a function of the source separ<strong>at</strong>ion and, in particular, tends to be zero and one<br />

respectively for large separ<strong>at</strong>ion and very small separ<strong>at</strong>ion; beyond, in both<br />

configur<strong>at</strong>ions, the correl<strong>at</strong>ion depends on the receptor loc<strong>at</strong>ion (inline with the source<br />

or offset) and region characterized by neg<strong>at</strong>ive correl<strong>at</strong>ion (destructive interference) can<br />

be appear. However, the building geometry is probably the factor th<strong>at</strong> strongly<br />

influences the correl<strong>at</strong>ion in <strong>urban</strong> areas; dependence on local geometry is widely<br />

confirmed by the correl<strong>at</strong>ion results obtained using Dapple model and analyzing several<br />

receptor and source shielded by buildings (see figure 5-24/5-29).<br />

c 2<br />

*<br />

DAPPLE Model<br />

0<br />

-450 -350 -250 -150 -50<br />

-0.5<br />

50 150<br />

Separ<strong>at</strong>ion (mm)<br />

c1+c2^2 non-d c2^2 non-d c1^2 non-d<br />

Correl<strong>at</strong>ion<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

-450 -350 -250 -150<br />

0.0<br />

-50<br />

-0.2<br />

50 150<br />

Separ<strong>at</strong>ion (mm)<br />

DAPPLE UBL<br />

Figure 5-22 Comparison of non-dimensional<br />

233<br />

c ,<br />

2<br />

1<br />

1.2<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

2<br />

c 2 and ( ) 2<br />

1 c2<br />

c + against source<br />

separ<strong>at</strong>ion (top) and correl<strong>at</strong>ion (bottom) obtained with Dapple Model and UBL for<br />

receptor <strong>at</strong> (X=0 mm, Y=540 mm) and reference source <strong>at</strong> (X=0mm, Y=0mm)


Chapter 5 Neighbourood/Street scale results<br />

c 2<br />

*<br />

DAPPLE Model<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

-500 -300 -100 100 300 500<br />

Separ<strong>at</strong>ion(mm)<br />

c1+c2^2 non-d c2^2 non-d c1^2 non-d<br />

Correl<strong>at</strong>ion<br />

1.4<br />

1.2<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0.0<br />

-500 -300 -100-0.2 100 300 500<br />

-0.4<br />

-0.6<br />

Separ<strong>at</strong>ion (mm)<br />

DAPPLE UBL<br />

Figure 5-23 Comparison of non-dimensional<br />

234<br />

c ,<br />

2<br />

1<br />

2<br />

c 2 and ( ) 2<br />

1 c2<br />

c + against source<br />

separ<strong>at</strong>ion (top) and correl<strong>at</strong>ion (bottom) obtained with Dapple Model and UBL for<br />

receptor <strong>at</strong> (X=100 mm, Y=540 mm) and reference source <strong>at</strong> (X=0mm, Y=0mm)<br />

Figure 5-24 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources<br />

(X=-100, -50, 0 and 50 mm, Y=0 mm) <strong>at</strong> receptor (X=0 mm, Y=540mm)


Chapter 5 Neighbourood/Street scale results<br />

Figure 5-25 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources<br />

(X=-100, -50, 0 and 50 mm, Y=0 mm) <strong>at</strong> receptor (X=-150 mm, Y=540 mm)<br />

Figure 5-26 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources<br />

(X=-100, and 0 mm, Y=0 mm) <strong>at</strong> receptor (X=-75 mm, Y=540 mm)<br />

Figure 5-27 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources<br />

(X=300, and 400 mm, Y=0 mm) <strong>at</strong> receptor (X=390 mm, Y=540 mm)<br />

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Chapter 5 Neighbourood/Street scale results<br />

Figure 5-28 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources<br />

(X=300, and 400 mm, Y=0 mm) <strong>at</strong> receptor (X=240 mm, Y=540 mm)<br />

Figure 5-29 Correl<strong>at</strong>ion against source separ<strong>at</strong>ion for <strong>different</strong> reference sources<br />

(X=300, and 400 mm, Y=0 mm) <strong>at</strong> receptor (X=75 mm, Y=540 mm)<br />

The correl<strong>at</strong>ion between fluctu<strong>at</strong>ing concentr<strong>at</strong>ions appears to be influenced by local<br />

geometry of the buildings in a similar way to the mean concentr<strong>at</strong>ion. Similar trends of<br />

the correl<strong>at</strong>ion profiles can be recognized for the following three groups of receptors:<br />

1. Receptors <strong>at</strong> X=0 mm (intersection between Gloucester Place and Dorset<br />

square/Melcombe Street, see figure 5-24), X=-75 mm and -150 mm (loc<strong>at</strong>ed <strong>at</strong><br />

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Chapter 5 Neighbourood/Street scale results<br />

Dorset Square, west side of the model, and shielded by building 1, see<br />

respectively figures 5-25 and 5-26);<br />

2. Receptors <strong>at</strong> X=240 mm (loc<strong>at</strong>ed <strong>at</strong> Melcombe St, east side of the model and<br />

shielded by building 3, Figure 5-28) and 390 mm (intersection between<br />

Glentworth Street and Melcombe Street, figure 5-27);<br />

3. Receptor <strong>at</strong> X=75 mm (loc<strong>at</strong>ed sp<strong>at</strong>ially between the two groups listed before<br />

and shielded by building 3, figure 5-29);<br />

these groups have been just identified in section 5.2.2 for mean concentr<strong>at</strong>ion.<br />

For the first group of receptors, only from the west side of Marylebone Road, strong<br />

circul<strong>at</strong>ing vortices present in the street canyon of Marylebone Road permit the plume<br />

to travel towards the intersection, then to be channelized along Gloucester Place and<br />

transported up the Dorset Square; for these reason positive correl<strong>at</strong>ion can be seen for a<br />

wide range of separ<strong>at</strong>ion with the mobile source loc<strong>at</strong>ed in the west side of the<br />

Marylebone-Gloucester intersection. On the contrary, when the mobile source moves in<br />

the east side of the model the correl<strong>at</strong>ion tends to be rapidly zero; re-circul<strong>at</strong>ion in the<br />

east side of Marylebone road doesn’t permit the pollutant to be travelled towards the<br />

intersection. Correl<strong>at</strong>ion have the tendency to have larger separ<strong>at</strong>ion region with high<br />

positive correl<strong>at</strong>ion when the reference source moves inside the canyon of the west part<br />

of Marylebone Road (X=50 mm and 100 mm), th<strong>at</strong> is the area where the re-circul<strong>at</strong>ion<br />

vortices is well developed.<br />

The second group of receptors show a behaviour similar to the first group (a large<br />

separ<strong>at</strong>ion region with positive correl<strong>at</strong>ion), but in this case circul<strong>at</strong>ing vortices in<br />

Marylebone Road transport the plume towards the intersection from both the <strong>different</strong><br />

sides of the intersection and, so, positive correl<strong>at</strong>ion values can be seen both for large<br />

neg<strong>at</strong>ive and positive source separ<strong>at</strong>ions.<br />

The correl<strong>at</strong>ion results for receptor <strong>at</strong> X=75mm are an example of how variability of the<br />

local building geometry can gener<strong>at</strong>e destructive interaction between the fluctu<strong>at</strong>ion of<br />

two sources and consequently produce neg<strong>at</strong>ive values of correl<strong>at</strong>ion even for large<br />

separ<strong>at</strong>ion of the sources (see case with reference source in X=100 mm in figure 5-29).<br />

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Chapter 5 Neighbourood/Street scale results<br />

All the cases analyzed show th<strong>at</strong> channeling and re-circul<strong>at</strong>ion inside the street canyon<br />

seem to be the dominant effects th<strong>at</strong> define the correl<strong>at</strong>ion coefficient between<br />

fluctu<strong>at</strong>ing concentr<strong>at</strong>ions of two sources in <strong>urban</strong> area. In general, with some exception<br />

in presence of local variability of the flow, these effects gener<strong>at</strong>es larger region with<br />

positive correl<strong>at</strong>ion between the fluctu<strong>at</strong>ions of two sources than in open terrain; this<br />

demonstr<strong>at</strong>e how the combin<strong>at</strong>ion of traffic sources in <strong>urban</strong> area can produce very<br />

significant increasing of instantaneous pollutant concentr<strong>at</strong>ions.<br />

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Chapter 5 Neighbourood/Street scale results<br />

5.4 Discussion of the relevance and applic<strong>at</strong>ion of the results<br />

The wind tunnel experimental results offer useful inform<strong>at</strong>ion about the <strong>dispersion</strong><br />

phenomena associ<strong>at</strong>ed with traffic emission in a real <strong>urban</strong> area. The use of point<br />

sources for simul<strong>at</strong>ing a traffic line source via m<strong>at</strong>hem<strong>at</strong>ical integr<strong>at</strong>ion demonstr<strong>at</strong>e to<br />

be a reliable method to understand the main characteristics of the <strong>dispersion</strong> field, to<br />

establish source-receptor rel<strong>at</strong>ionships (both in terms of mean and fluctu<strong>at</strong>ing<br />

concentr<strong>at</strong>ions) and to evalu<strong>at</strong>e the exposure dosages for <strong>different</strong> traffic conditions.<br />

This technique has never been used before this work for measuring mean and<br />

fluctu<strong>at</strong>ing concentr<strong>at</strong>ion from traffic emission in <strong>urban</strong> area; in previous wind tunnel<br />

work vehicles emission were usually simul<strong>at</strong>ed by uniform and steady line source<br />

emission.<br />

The work carried out in this thesis offers the possibility of comparing ideal cases with<br />

real ones. In contrast, the results are obviously case-specific and not easily<br />

generalisable; experiments highlighted the strong influence of the local geometry: small<br />

difference in the geometry of the building can cause large vari<strong>at</strong>ions of the pollutant<br />

concentr<strong>at</strong>ion levels.<br />

The main characteristics phenomena of the traffic pollutant <strong>dispersion</strong> highlighted in<br />

these experiments can be summarized as follows. Buildings act like a channel and force<br />

the plume to travel down the street; vertical lofting of the <strong>air</strong> contaminant usually does<br />

not occur and the plume is mainly trapped below building height. Pollutant exchanges<br />

with the mean flow <strong>at</strong> roof level are not frequent and appeared to be domin<strong>at</strong>ed by the<br />

local effects; for example additional mixing effects due to the presence of a tall<br />

building, like in correspondence of Mar<strong>at</strong>hon House tower. In addition to the channeling<br />

effect, the plume is usually transported up the side streets due to the circul<strong>at</strong>ing vortices<br />

th<strong>at</strong> develop in the adjacent cross street <strong>urban</strong> canyons; hence, the plume may travel up<br />

side streets several blocks perpendicular to the prevailing wind direction.<br />

Concentr<strong>at</strong>ions remain rel<strong>at</strong>ively high <strong>at</strong> street level further downstream due to limited<br />

vertical lofting of the channelized plume. Intersections showed most pollutant travelling<br />

<strong>at</strong> close to ground level, with a smooth reduction in concentr<strong>at</strong>ions up to the mean flow,<br />

while street canyons showed uniform pollutant concentr<strong>at</strong>ion levels inside the canyon<br />

239


Chapter 5 Neighbourood/Street scale results<br />

and sharp reductions in pollutant above roof level. Sharp concentr<strong>at</strong>ion peaks (both<br />

mean and fluctu<strong>at</strong>ions) are seen <strong>at</strong> the intersections; when sources are directly upwind<br />

of a street parallel to the wind direction, high concentr<strong>at</strong>ions are seen downwind in this<br />

street, and for sources offset from the parallel streets high levels are often still seen for<br />

the receptor <strong>at</strong> a nearby downwind intersection.<br />

The adopted experimental str<strong>at</strong>egy allowed an estim<strong>at</strong>ion to be made of the pollutant<br />

dose to which someone might be exposed due to the passage of a vehicle along upwind<br />

streets. The dosage values given are ensemble averages of a car driving down the street<br />

many times in an identical manner. The obtained results proved encouraging and the<br />

used methodology has given insight into the effect of <strong>different</strong> car movements and their<br />

impact on receptors or people downwind; several driving scenarios were analyzed. The<br />

results shows how keeping traffic moving through city streets can reduce overall dosage<br />

levels; a car driving <strong>at</strong> constant speed gave the lowest overall dosage levels. Waiting <strong>at</strong><br />

or near intersections gre<strong>at</strong>ly increases the downwind dosage for a person immedi<strong>at</strong>ely<br />

downwind. Often high dosage remains in adjacent side streets and further street<br />

downwind; this shows how pollutant from a main street can affect several streets<br />

downwind. The highest dosage levels, which were several times higher than the<br />

constant speed case, were seen when the car stopped <strong>at</strong> or near the intersection directly<br />

downwind the receptor. There were some exceptions where local building geometry<br />

caused unexpectedly high dosages <strong>at</strong> receptors not loc<strong>at</strong>ed in correspondence of or in<br />

proximity of the intersection; this is a good example of how predicting the <strong>dispersion</strong><br />

and hence loc<strong>at</strong>ion of the highest dosages is not always an easy task. When the car<br />

stopped far from the main intersection dosages seen in downwind streets tended to be<br />

lower; <strong>at</strong> receptors far from the waiting loc<strong>at</strong>ions, the only dosages th<strong>at</strong> were seen came<br />

from the car as it passed by after the wait <strong>at</strong> constant speed.<br />

Future work in the DAPPLE site could apply the results taken here to predicting<br />

dosages from real engine emissions, which are often most significant during<br />

acceler<strong>at</strong>ion. This would be achieved by modifying the weighting rules in the integral<br />

calcul<strong>at</strong>ion of the dose. This type of analysis can only be carried out by using a<br />

simul<strong>at</strong>ed line source from many point sources, as used in these experiments, and not<br />

with a uniform and steady line source emission.<br />

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Chapter 5 Neighbourood/Street scale results<br />

An advanced experimental methodology based on the interference method of Warhaft<br />

(1984) was developed in order to analyze the correl<strong>at</strong>ion between concentr<strong>at</strong>ion<br />

fluctu<strong>at</strong>ions from two point sources belonging to a line emission. Remembering th<strong>at</strong><br />

concentr<strong>at</strong>ion variance connected with a line source can be expressed in term of<br />

correl<strong>at</strong>ion between the fluctu<strong>at</strong>ions produced by two point sources the measure of these<br />

correl<strong>at</strong>ions permitted to establish source-receptor rel<strong>at</strong>ionships in terms of fluctu<strong>at</strong>ing<br />

concentr<strong>at</strong>ions and to evalu<strong>at</strong>e the contribution of the most critical emission point in a<br />

line source. The results showed th<strong>at</strong> the correl<strong>at</strong>ion depends on the separ<strong>at</strong>ion of the<br />

sources, the downstream distance of the receptor from the sources, the receptor loc<strong>at</strong>ion<br />

(inline or offset) and on the geometry of the local environment. The building geometry<br />

turn out to be the factor th<strong>at</strong> strongly influences the correl<strong>at</strong>ion between fluctu<strong>at</strong>ing<br />

concentr<strong>at</strong>ion from two sources in <strong>urban</strong> areas; channeling and re-circul<strong>at</strong>ion inside the<br />

street canyon are the dominant effects th<strong>at</strong> define the correl<strong>at</strong>ion coefficient and can<br />

produce very significant increasing of correl<strong>at</strong>ion and consequently on instantaneous<br />

pollutant concentr<strong>at</strong>ions.<br />

The full experimental d<strong>at</strong>a-set turn out to be very detailed and, although the experiments<br />

were carried out only for two wind direction, can be used for comparisons with both full<br />

scale field experiments and m<strong>at</strong>hem<strong>at</strong>ical models (numerical CFD models) within the<br />

framework of the DAPPLE project. This will provide further insight on the valid<strong>at</strong>ion of<br />

the involved <strong>modelling</strong> techniques (both m<strong>at</strong>hem<strong>at</strong>ical and physical <strong>modelling</strong> methods)<br />

and could be also used in order to evalu<strong>at</strong>e <strong>different</strong> models developed using simpler<br />

idealised situ<strong>at</strong>ions. The techniques developed for the evalu<strong>at</strong>ion of the mean exposure<br />

dosages and the correl<strong>at</strong>ion between concentr<strong>at</strong>ion fluctu<strong>at</strong>ions, if further perfected, can<br />

lead to an improvement of the existing m<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> techniques th<strong>at</strong>, <strong>at</strong> the<br />

moment, also due to a lack of experimental d<strong>at</strong>a, tend to neglect the effects of non<br />

uniform distribution of pollutant emissions due to traffic queuing p<strong>at</strong>terns <strong>at</strong><br />

intersections.<br />

241


6.1 Introduction<br />

Chapter 6<br />

6.City scale results<br />

The following sections present results from the research study carried out within the<br />

MoDiVaSET-2 project (MOdellistica DIffusionale per la VAlutazione di Scenari<br />

Emissivi in Toscana 2). As explained in the section 4.3, before starting with the<br />

evalu<strong>at</strong>ion of the emission scenarios, an extensive preliminary work, aimed <strong>at</strong><br />

developing a reliable <strong>modelling</strong> system for the scenario analysis, was carried out. This<br />

preliminary phase included the following studies: the applic<strong>at</strong>ion of several<br />

m<strong>at</strong>hem<strong>at</strong>ical models and the model evalu<strong>at</strong>ion. The results from these preliminary<br />

studies are presented in the sections 6.2 (<strong>modelling</strong> applic<strong>at</strong>ions) and 6.3 (model<br />

evalu<strong>at</strong>ion). The scenario analysis results carried out with the <strong>modelling</strong> system selected<br />

from the model evalu<strong>at</strong>ion are tre<strong>at</strong>ed in the section 6.4.<br />

6.2 Modelling applic<strong>at</strong>ions<br />

Results of the simul<strong>at</strong>ions carried out within the preliminary phase of the MoDiVaSET-<br />

2 project are presented in this section. Contour maps of annual mean concentr<strong>at</strong>ion for<br />

NO2, NOx, PM10 and SO2 are reported respectively in figures 6-1, 6-2, 6-3 and 6-4. As<br />

described in the section 4.4, simul<strong>at</strong>ions were performed by means of:<br />

1. ADMS-Urban (‘ADMS’)<br />

2. CALGRID-CALPUFF-CALINE4 (‘CGPL’, superposition of the results deriving<br />

from CALGRID for the grid area sources, CALPUFF for the point sources and<br />

CALINE4 for the line sources)<br />

3. CALGRID-SAFE AIR (‘CGSA’, superposition of the results deriving from<br />

CALGRID for the grid area source and SAFE_AIR for the point and line sources)<br />

They were then compared with the CAMx full chemistry simul<strong>at</strong>ions carried out by<br />

another research group of the Dipartimento di Energetica, University of Florence.<br />

242


Chapter 6 City scale results<br />

< 20<br />

20 - 30<br />

30 - 40<br />

40 - 50<br />

50 - 100<br />

> 100<br />

< 20<br />

20 - 30<br />

30 - 40<br />

40 - 50<br />

50 - 100<br />

> 100<br />

Figure 6-1 NOx annual mean concentr<strong>at</strong>ion maps [µg/m3]: ADMS-Urban (topleft<br />

map), CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right)<br />

< 15<br />

15 - 20<br />

20 - 30<br />

30 - 40<br />

40 - 50<br />

> 50<br />

< 15<br />

15 - 20<br />

20 - 30<br />

30 - 40<br />

40 - 50<br />

> 50<br />

Figure 6-2 NO2 annual mean concentr<strong>at</strong>ion maps [µg/m3]: ADMS-Urban (top-left<br />

map), CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right)<br />

243


Chapter 6 City scale results<br />

Figure 6-3 PM10 annual mean concentr<strong>at</strong>ion maps [µg/m3]: ADMS-Urban (topleft<br />

map), CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right)<br />

Figure 6-4 SO2 annual mean concentr<strong>at</strong>ion maps [µg/m3]: ADMS-Urban (top-left<br />

map), CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right)<br />

< 14<br />

244<br />

14 - 16<br />

16 - 18<br />

18 - 20<br />

20 - 25<br />

> 25<br />

< 14<br />

14 - 16<br />

16 - 18<br />

18 - 20<br />

20 - 25<br />

> 25<br />

< 2<br />

2 - 3<br />

3 - 4<br />

4 - 5<br />

5 - 6<br />

> 6<br />

< 2<br />

2 - 3<br />

3 - 4<br />

4 - 5<br />

5 - 6<br />

> 6


Chapter 6 City scale results<br />

Looking <strong>at</strong> the figures, it can be observed th<strong>at</strong> for all the <strong>modelling</strong> system the <strong>pollution</strong><br />

hotspots are clearly loc<strong>at</strong>ed in correspondence of the most densely popul<strong>at</strong>ed areas, (the<br />

cities of Florence, Pr<strong>at</strong>o, Pistoia and Empoli can easily be spotted on the map); in<br />

particular, as we expected, the city of Florence appear to be the most exposed zone for<br />

all the <strong>modelling</strong> applic<strong>at</strong>ions.<br />

Already <strong>at</strong> a first sight, it can be noted how CAMx (the only model th<strong>at</strong> use complete<br />

chemical mechanism) tend to predict higher concentr<strong>at</strong>ions than the <strong>modelling</strong> systems<br />

th<strong>at</strong> use inert approaches (ADMS-Urban, CGPL and CGSA); the results of these last<br />

<strong>modelling</strong> systems seems to be quite comparable. The simple comparison between<br />

annual average concentr<strong>at</strong>ions calcul<strong>at</strong>ed <strong>at</strong> the monitoring sites (both background and<br />

roadside sites) by the four <strong>modelling</strong> systems involved (see tables 6-1/6-4) confirms<br />

these first impressions. Comparison with observed concentr<strong>at</strong>ions (see again table 6-<br />

1/6-4) shows, especially for the background sites, a quite good agreement between<br />

ADMS-Urban, CGPL and CGSA and measures for NO2, NOx and SO2, while CAMx<br />

leads to overestim<strong>at</strong>ed concentr<strong>at</strong>ion for these pollutant; all the models seem to<br />

underestim<strong>at</strong>e PM10 concentr<strong>at</strong>ion values, even if for CAMx is less evident. A more<br />

detailed comparison of the results is reported in 6.3.2.<br />

NOx Measures ADMS CGPL CGSA CAMx<br />

BACKGROUND SITES<br />

FI – Bassi 73.8 49.7 59.4 48.5 376.4<br />

FI – Boboli 57.7 56.2 55.8 43.1 352.5<br />

FI – Novoli 99.8 80.4 71.4 54.6 460.0<br />

FI – Settignano 26.9 31.9 54.8 43.9 273.3<br />

FI - Via di Scandicci 108.9 53.0 59.2 46.7 376.4<br />

FI - Calenzano Giovanni XIII 87.5 35.6 74.2 50.3 165.8<br />

FI - Montelupo Don Milani 59.2 16.0 35.6 32.6 68.7<br />

PO – Fontanelle 76.2 29.3 59.8 42.2 164.3<br />

PO – Papa Giovanni XIII 62.6 33.3 69.5 43.9 330.1<br />

PO – Roma 64.8 47.8 64.7 41.3 247.9<br />

PO - S.Paolo 83.8 36.3 57.2 39.9 159.8<br />

ROADSIDE SITES<br />

FI – Gramsci 185.8 70.2 57.2 45.3 483.9<br />

FI – Mosse 182.4 67.2 63.8 51.5 439.1<br />

FI – Rosselli 300.4 107.7 59.6 48.5 253.9<br />

FI - Empoli Ridolfi 117.0 58.3 29.6 29.0 186.7<br />

PO – Ferrucci 113.7 50.9 65.7 41.7 446.6<br />

PO – Montalese 179.2 23.1 50.3 38.2 103.1<br />

PO – Strozzi 99.8 41.9 60.9 41.6 194.2<br />

Table 6-1 NOx annual concentr<strong>at</strong>ion <strong>at</strong> the monitoring st<strong>at</strong>ions: comparison<br />

between observ<strong>at</strong>ions and calcul<strong>at</strong>ed d<strong>at</strong>a by ADMS, CGPL, CGSA and CAMx<br />

245


Chapter 6 City scale results<br />

NO2 Measures ADMS CGPL CGSA CAMx<br />

BACKGROUND SITES<br />

FI – Bassi 37.0 31.4 36.5 31.1 82.2<br />

FI – Boboli 29.8 35.1 34.8 28.1 81.1<br />

FI – Novoli 51.6 43.4 41.7 34.2 85.8<br />

FI – Settignano 20.0 23.0 34.3 28.6 76.4<br />

FI - Via di Scandicci 54.3 34.1 36.4 30.1 82.2<br />

FI - Calenzano Giovanni XIII 29.0 25.6 42.8 32.0 64.7<br />

FI - Montelupo Don Milani 31.3 15.1 23.7 21.9 40.0<br />

FI - Scandicci Buozzi 47.1 31.7 39.4 29.7 76.8<br />

PO – Fontanelle 37.0 22.7 36.6 27.6 64.4<br />

PO – Papa Giovanni XIII 35.6 22.0 40.9 28.6 80.0<br />

PO – Roma 34.0 32.2 38.8 27.1 74.4<br />

PO - S.Paolo 41.5 26.1 35.4 26.3 63.7<br />

PT – Montale 31.5 18.4 32.1 26.2 44.9<br />

PT – Signorelli 33.8 22.2 26.6 20.0 71.1<br />

ROADSIDE SITES<br />

FI – Gramsci 69.0 39.4 35.4 29.4 86.8<br />

FI – Mosse 66.4 38.5 38.4 32.6 84.9<br />

FI – Rosselli 85.8 50.6 36.6 31.1 74.9<br />

FI - Empoli Ridolfi 57.8 36.3 19.9 19.5 67.8<br />

PO – Ferrucci 48.2 29.3 39.3 27.3 85.2<br />

PO – Montalese 60.6 19.0 32.0 25.3 51.3<br />

PO – Strozzi 49.2 28.9 37.2 27.3 68.8<br />

PO – XX Sett. 69.8 20.7 27.8 21.4 46.8<br />

PT – Zamenhof 37.9 29.7 31.9 26.3 69.0<br />

Table 6-2 NO2 annual concentr<strong>at</strong>ion <strong>at</strong> the monitoring st<strong>at</strong>ions: comparison<br />

between observ<strong>at</strong>ions and calcul<strong>at</strong>ed d<strong>at</strong>a by ADMS, CGPL, CGSA and CAMx<br />

PM10 Measures ADMS CGPL CGSA CAMx<br />

BACKGROUND SITES<br />

FI – Bassi 42.5 16.6 17.3 16.9 39.8<br />

FI – Boboli 36.8 17.7 17.0 16.5 27.3<br />

FI - Calenzano Boccaccio 38.2 16.1 17.9 17.1 20.4<br />

FI - Montelupo Don Milani 31.3 15.2 16.4 16.1 18.0<br />

FI - Montelupo Pr<strong>at</strong>elle 46.7 14.5 15.8 15.6 17.0<br />

FI - Scandicci Buozzi 41.6 18.2 17.4 16.6 21.9<br />

PO – Fontanelle 51.1 15.4 17.3 16.5 17.2<br />

PO – Roma 38.4 18.0 17.2 16.4 22.9<br />

PT – Montale 51.9 16.2 16.9 16.4 17.1<br />

ROADSIDE SITES<br />

FI – Gramsci 52.1 18.6 17.1 16.7 37.4<br />

FI – Mosse 38.4 18.0 17.7 17.2 35.9<br />

FI – Rosselli 47.2 17.9 17.4 17.0 34.1<br />

FI - Empoli Ridolfi 25.6 22.9 15.8 15.5 23.8<br />

PO – Ferrucci 30.1 18.0 17.3 16.5 26.5<br />

PO – Strozzi 49.9 18.1 17.0 16.4 22.7<br />

Table 6-3 PM10 annual concentr<strong>at</strong>ion <strong>at</strong> the monitoring st<strong>at</strong>ions: comparison<br />

between observ<strong>at</strong>ions and calcul<strong>at</strong>ed d<strong>at</strong>a by ADMS, CGPL, CGSA and CAMx<br />

246


Chapter 6 City scale results<br />

SO2 Measures ADMS CGPL CGSA CAMx<br />

BACKGROUND SITES<br />

FI – Bassi 3.8 2.9 4.2 3.6 7.7<br />

FI – Boboli 2.9 3.1 3.6 2.9 5.5<br />

FI - Via di Scandicci 1.7 3.1 3.9 3.3 6.2<br />

FI - Scandicci Buozzi 2.7 3.0 3.9 3.2 4.7<br />

PO – Roma 4.7 2.4 2.5 2.0 3.5<br />

PO - S.Paolo 5.4 2.2 2.4 1.9 2.6<br />

PT – Montale 2.7 2.0 2.1 1.7 1.3<br />

ROADSIDE SITES<br />

FI – Mosse 2.7 3.8 5.0 4.1 9.7<br />

FI - Empoli Ridolfi 3.0 2.8 1.9 1.6 3.1<br />

Table 6-4 SO2 annual concentr<strong>at</strong>ion <strong>at</strong> the monitoring st<strong>at</strong>ions: comparison<br />

between observ<strong>at</strong>ions and calcul<strong>at</strong>ed d<strong>at</strong>a by ADMS, CGPL, CGSA and CAMx<br />

6.3 Model evalu<strong>at</strong>ion<br />

Model evalu<strong>at</strong>ion was performed in order to evalu<strong>at</strong>e simul<strong>at</strong>ion results, compare the<br />

<strong>different</strong> approaches and, between them, determine the most reliable model for the<br />

scenario analysis. The results of the simul<strong>at</strong>ions were compared to measured d<strong>at</strong>a from<br />

the monitoring networks of the study area; the techniques used for the evalu<strong>at</strong>ion work<br />

have been presented in 4.5. In 6.3.1 a sensitivity study of ADMS-Urban is reported.<br />

Section 6.3.2 presents the results of the valid<strong>at</strong>ion exercises, while the uncertainty<br />

analysis has been performed in 6.3.3.<br />

6.3.1 Sensitivity study of ADMS-Urban<br />

A sensitivity analysis of ADMS-Urban modeling system have been carried out<br />

calcul<strong>at</strong>ing annual mean concentr<strong>at</strong>ions of NO2 <strong>at</strong> each background monitoring site in<br />

the study area for four scenarios plus the base scenario. Only background monitoring<br />

st<strong>at</strong>ion were considered in this analysis, because, as also demonstr<strong>at</strong>ed in the valid<strong>at</strong>ion<br />

exercise (see section 6.3.2), the simul<strong>at</strong>ions carried out in this thesis are represent<strong>at</strong>ive<br />

of this type of site.<br />

The base scenario parameters used in the <strong>modelling</strong> were shown in table 6-1, while<br />

table 6-2 shows the scenarios considered in the sensitivity <strong>modelling</strong>. These include<br />

changes in global parameters of the model, as minimum Monin-Obukhov length to limit<br />

247


Chapter 6 City scale results<br />

<strong>urban</strong> stability, the impact of using an hourly disaggreg<strong>at</strong>ed emission inventory instead<br />

of constant average emissions, the impact of using d<strong>at</strong>a from standard meteorological<br />

observ<strong>at</strong>ion from monitoring st<strong>at</strong>ion instead of numerical prediction from a diagnostic<br />

meteorological model and finally the impact of regional background.<br />

PARAMETER VALUE<br />

Minimum Monin-Obukhov<br />

length<br />

248<br />

30 m<br />

Emission inventory Hourly disaggreg<strong>at</strong>ed IRSE-RT 2001 emissions<br />

Meteorological d<strong>at</strong>a<br />

Prediction from the diagnostic meteorological model<br />

CALMET<br />

Regional Background LI-Maurogord<strong>at</strong>o monitoring st<strong>at</strong>ion<br />

SCENARIO<br />

D1<br />

Table 6-5 Base scenario parameters<br />

PARAMETER<br />

CHANGED<br />

Minimum Monin-<br />

Obukhov length<br />

NEW PARAMETER VALUE<br />

50 m<br />

D2 Emission inventory Constant average IRSE-RT 2001 emissions<br />

D3 Meteorological d<strong>at</strong>a<br />

Standard meteorological observ<strong>at</strong>ions of<br />

PO-Baciacavallo monitoring st<strong>at</strong>ion<br />

D4 Regional Background Set to zero<br />

Table 6-6 Sensitivity scenarios<br />

NO2 annual mean concentr<strong>at</strong>ions calcul<strong>at</strong>ed for the <strong>different</strong> scenarios have been<br />

compared one to another and to the monitored values using the explor<strong>at</strong>ory analysis of<br />

the d<strong>at</strong>a and the advanced st<strong>at</strong>istical techniques described in section 4.5.2. Sc<strong>at</strong>ter and<br />

quantile-quantile plots are reported on figure 6-5, while st<strong>at</strong>istics are shown in Table 6-<br />

3.


Chapter 6 City scale results<br />

NO 2 predicted conc. [ug/m 3 ]<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

0 10 20 30 40 50 60 70 80<br />

NO 2 observed conc. [ug/m 3 ]<br />

Base D1 D2 D3 D4<br />

Scenario<br />

NO 2 predicted conc. [ug/m 3 ]<br />

249<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

0 10 20 30 40 50 60 70 80<br />

NO 2 observed conc. [ug/m 3 ]<br />

Base D1 D2 D3 D4<br />

Figure 6-5 Sc<strong>at</strong>ter (left) and quantile-quantile (right) plots<br />

MEAN<br />

[µg/m 3 ]<br />

FB SIGMA FS COR FA2 NMSE WNNR NNR<br />

Measures 36.7 0.00 8.95 0.00 1.00 1.00 0.00 0.00 0.00<br />

Base 19.4 0.62 5.10 0.58 0.64 0.46 0.50 0.50 0.42<br />

D1 18.8 0.65 5.06 0.59 0.64 0.46 0.54 0.54 0.46<br />

D2 26.6 0.32 6.96 0.29 0.66 1.00 0.16 0.16 0.13<br />

D3 27.4 0.29 7.33 0.20 0.60 0.93 0.14 0.15 0.13<br />

D4 16.4 0.77 5.10 0.58 0.64 0.46 0.77 0.77 0.69<br />

Table 6-7 St<strong>at</strong>istical indices based on annual mean concentr<strong>at</strong>ions of NO2. Model<br />

performances are defined acceptable if FA2>0.5, -0.3


Chapter 6 City scale results<br />

The use of constant average emissions (scenario D2) instead of the hourly disaggreg<strong>at</strong>ed<br />

emissions of the IRSE-RT 2001 inventory also leads to considerable increased<br />

calcul<strong>at</strong>ed concentr<strong>at</strong>ions. The reason of this result is imputable to the fact th<strong>at</strong> the<br />

constant average emissions give higher emission values than hourly disaggreg<strong>at</strong>e ones<br />

during the night; this is the most critical period of the day for pollutant <strong>dispersion</strong> due to<br />

the presence of stable <strong>at</strong>mosphere th<strong>at</strong> reduces the pollutant mixing r<strong>at</strong>e. In this case<br />

performance improvements are only a casualty due to the underestim<strong>at</strong>ion of the base<br />

scenario.<br />

The regional background turns out be another important factor th<strong>at</strong> should be take into<br />

account. Neglecting the background (scenario D4) leads to a significant reduction of the<br />

calcul<strong>at</strong>ed concentr<strong>at</strong>ions th<strong>at</strong> decreases the performance of the model.<br />

Contrary to the other parameters, increasing the minimum Monin-Obhukov length to 50<br />

m (scenario D1) doesn’t affect significantly the simul<strong>at</strong>ions, although it slightly<br />

increases the mixing of pollutants; the calcul<strong>at</strong>ed concentr<strong>at</strong>ions are very similar<br />

compared to the base scenario.<br />

On the base of the critical analysis of the sensitivity results, the set of parameter used in<br />

the <strong>modelling</strong> of scenario D3 (hourly disaggreg<strong>at</strong>ed IRSE-RT 2001 emissions, PO-<br />

Baciacavallo meteorological observ<strong>at</strong>ion, minimum Monin-Obukhov length equal to<br />

30m and regional background from LI-Maurogord<strong>at</strong>o monitoring st<strong>at</strong>ion) turn out to be<br />

the best calibr<strong>at</strong>ion for ADMS-Urban in the present applic<strong>at</strong>ion; for this reason ADMS-<br />

Urban results used in the following valid<strong>at</strong>ion exercise were carried out adopting the<br />

parameters of the scenario D3.<br />

6.3.2 Valid<strong>at</strong>ion exercise<br />

Before beginning the calcul<strong>at</strong>ion of the various st<strong>at</strong>istical indices, a first comparison<br />

between the results calcul<strong>at</strong>ed by the four <strong>modelling</strong> systems involved (ADMS, CGPL,<br />

CGSA and CAMx) and the d<strong>at</strong>a measured by the monitoring st<strong>at</strong>ions was done using<br />

sc<strong>at</strong>ter and quantile-quantile plots of the annual average concentr<strong>at</strong>ions. St<strong>at</strong>istics<br />

described in the section 4.5.2 have then been calcul<strong>at</strong>ed based on annual mean<br />

concentr<strong>at</strong>ions. Both explor<strong>at</strong>ory analysis and st<strong>at</strong>istical techniques were carried out<br />

250


Chapter 6 City scale results<br />

separ<strong>at</strong>ely for each type of monitoring site, first for the background site, then for the<br />

roadside. Sc<strong>at</strong>ter and quantile-quantile plots are reported on figures 6-6 and 6-7, while<br />

st<strong>at</strong>istics are shown in Table 6-3. As NOx results are very similar to NO2 ones and the<br />

SO2 monitoring d<strong>at</strong>a were not quantit<strong>at</strong>ively significant from a st<strong>at</strong>istical point of view,<br />

only results about concentr<strong>at</strong>ions of NO2 and PM10 are presented here.<br />

NO 2 predicted conc. [ug/m 3 ]<br />

NO 2 predicted conc. [ug/m 3 ]<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

BACKGROUND SITES<br />

0 10 20 30 40 50 60 70 80 90<br />

NO 2 observed conc. [ug/m 3 ]<br />

ADMS CGPL CGSA CAMx<br />

BACKGROUND SITES<br />

0 10 20 30 40 50 60 70 80 90<br />

NO 2 observed conc. [ug/m 3 ]<br />

ADMS CGPL CGSA CAMx<br />

NO 2 predicted conc. [ug/m 3 ]<br />

NO 2 predicted conc. [ug/m 3 ]<br />

251<br />

100<br />

80<br />

60<br />

40<br />

20<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

0<br />

ROADSIDE SITES<br />

0 20 40 60 80 100<br />

NO 2 observed conc. [ug/m 3 ]<br />

ADMS CGPL CGSA CAMx<br />

ROADSIDE SITES<br />

0 20 40 60 80 100<br />

NO 2 observed conc. [ug/m 3 ]<br />

ADMS CGPL CGSA CAMx<br />

Figure 6-6 Sc<strong>at</strong>ter (top) and quantile-quantile (bottom) of the observed and<br />

predicted NO2 concentr<strong>at</strong>ions for background sites (left) and roadside sites (right)


Chapter 6 City scale results<br />

PM 10 pred. conc. [ug/m 3 ]<br />

PM 10 pred. conc. [ug/m 3 ]<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

BACKGROUND SITES<br />

0 10 20 30 40 50 60<br />

PM 10 observed conc. [ug/m 3 ]<br />

ADMS CGPL CGSA CAMx<br />

BACKGROUND SITES<br />

0 10 20 30 40 50 60<br />

PM 10 observed conc. [ug/m 3 ]<br />

ADMS CGPL CGSA CAMx<br />

PM 10 pred. conc. [ug/m 3 ]<br />

PM 10 pred. conc. [ug/m 3 ]<br />

252<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

ROADSIDE SITES<br />

0 10 20 30 40 50 60<br />

PM 10 observed conc. [ug/m 3 ]<br />

ADMS CGPL CGSA CAMx<br />

ROADSIDE SITES<br />

0 10 20 30 40 50 60<br />

PM 10 observed conc. [ug/m 3 ]<br />

ADMS CGPL CGSA CAMx<br />

Figure 6-7 Sc<strong>at</strong>ter (top) and quantile-quantile (bottom) of the observed and<br />

predicted PM10 concentr<strong>at</strong>ions for background sites (left) and roadside sites (right)<br />

Both explor<strong>at</strong>ory plots (sc<strong>at</strong>ter and quantile-quantile) and st<strong>at</strong>istical analysis confirm the<br />

impressions st<strong>at</strong>ed in the section 6.2 for the simple comparison between the observed<br />

and the predicted annual mean concentr<strong>at</strong>ions <strong>at</strong> the monitoring sites; good<br />

performances are obtained with inert <strong>modelling</strong> systems (ADMS, CGPL and CGSA) for<br />

nitrogen oxides <strong>at</strong> the background sites, while performance values for PM10 and for the<br />

roadside sites are r<strong>at</strong>her low and provided underestim<strong>at</strong>ed values. The acceptability<br />

criteria proposed by Chang and Hanna (2004, model performances are defined


Chapter 6 City scale results<br />

acceptable if FA2>0.5, -0.3


Chapter 6 City scale results<br />

As expected, the background sites results provided better performances than the<br />

roadside ones; this is due to the fact th<strong>at</strong> the <strong>modelling</strong> systems used did not consider<br />

the small scale effects. These effects are fundamental as far as roadside sites are<br />

concerned, often loc<strong>at</strong>ed in complex environments and characterized by high local<br />

traffic emissions. This implies th<strong>at</strong> the st<strong>at</strong>istical analysis done for the background sites<br />

are the most represent<strong>at</strong>ive of the model performances. A possible way to investig<strong>at</strong>e<br />

the concentr<strong>at</strong>ions <strong>at</strong> the roadside sites, th<strong>at</strong> are the most critical in <strong>urban</strong> area, would be<br />

to include smaller scale nested model, for example street canyon models. The feasibility<br />

of this approach is demonstr<strong>at</strong>ed by several studies carried out with encouraging results<br />

using multiscale <strong>modelling</strong> (see section 2.8); for example the applic<strong>at</strong>ion of ADMS-<br />

Urban and his street canyon module to the city of London (Colvile et al. 2002). At the<br />

moment, the major obstacle to the use of the street canyon module of ADMS-Urban in<br />

this study was the lack of reliable traffic volume d<strong>at</strong>a in the entire study area; when this<br />

d<strong>at</strong>a will be available, it will be interesting verify this approach for the study of impacts<br />

in roadside site of the metropolitan area of Florence, Pr<strong>at</strong>o and Pistoia.<br />

The PM10 results showed a system<strong>at</strong>ic underestim<strong>at</strong>ion of the concentr<strong>at</strong>ions for all inert<br />

<strong>modelling</strong> systems (ADMS, CGPL and CGSA); this is due to the fact th<strong>at</strong> primary PM10<br />

levels are only a small part of the total PM10 concentr<strong>at</strong>ions; much of the <strong>urban</strong> PM10 is<br />

actually produced by chemical transform<strong>at</strong>ions. In order to overcome this problem, full<br />

chemistry applic<strong>at</strong>ions were investig<strong>at</strong>ed using the CAMx model. Both explor<strong>at</strong>ory<br />

plots (see figures 6-6 and 6-7) and the st<strong>at</strong>istical analysis of CAMx results (see Table 6-<br />

8) provided very poor results for every pollutants (see also uncertainty analysis, section<br />

6.3.3); the acceptability criteria proposed by Chang, and Hanna (2004) are never<br />

verified for any pollutant, especially for NO2 and NOx. The PM10 estim<strong>at</strong>ions, although<br />

better than in the inert approach, are not s<strong>at</strong>isfactory. The uns<strong>at</strong>isfactory results are<br />

probable due to the lack of reliable input d<strong>at</strong>a (speci<strong>at</strong>ion of VOC emissions, turbidity,<br />

ozone column density, w<strong>at</strong>er vapor concentr<strong>at</strong>ions) needed for the applic<strong>at</strong>ion of the<br />

CAMx’s chemistry module and to difficulties in the estim<strong>at</strong>ion of the vertical diffusivity<br />

Kz from predicted meteorological d<strong>at</strong>a given by the meteorological model CALMET. In<br />

this case the impossibility of reliably s<strong>at</strong>isfying the extensive d<strong>at</strong>a input requirements of<br />

CAMx is the cause of very large total uncertainty th<strong>at</strong> explains why the performance of<br />

a complex model with full chemistry mechanism as CAMx, even if characterized by<br />

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Chapter 6 City scale results<br />

smaller errors in the model’s represent<strong>at</strong>ion of the physical reality, is so inferior to th<strong>at</strong><br />

of a simpler methodologies, as the inert approach.<br />

6.3.3 Uncertainty analysis<br />

On the base of the valid<strong>at</strong>ion results, the uncertainty analysis was performed using only<br />

annual mean concentr<strong>at</strong>ions <strong>at</strong> the background monitoring st<strong>at</strong>ions, because, as<br />

demonstr<strong>at</strong>ed before in section 6.3.2, the simul<strong>at</strong>ions carried out in this work are<br />

represent<strong>at</strong>ive of this type of site. This choice is similar to th<strong>at</strong> one done by Stern and<br />

Fleming (2007) and Borrego et al. (2008).<br />

It was not easy to perform an uncertainty analysis, especially for PM10, given the<br />

system<strong>at</strong>ic underestim<strong>at</strong>ion resulting from the models applic<strong>at</strong>ions. This is confirmed by<br />

the calcul<strong>at</strong>ion of the “accuracy” as recommended by the EU Directive 1999/30/EC<br />

(rel<strong>at</strong>ive maximum error, RME), which both, for NO2 and PM10, doesn’t give acceptable<br />

results for all the monitoring st<strong>at</strong>ions considered (maximum values of RME within the<br />

studied area doesn’t respect EC quality objectives, see table 6-9). In the present case<br />

referring to the average value and to the maps of the rel<strong>at</strong>ive maximum error (see figure<br />

6-8 and 6-9) is more useful. Both the maps and the average value of RME confirm the<br />

results of valid<strong>at</strong>ion exercise; good performance of ADMS, CGPL and CGSA for NO2<br />

(the EC quality objective are meanly respected for almost the monitoring st<strong>at</strong>ions) and<br />

poorer performance for estim<strong>at</strong>ions of PM10. CAMx leads to high and uns<strong>at</strong>isfactory<br />

uncertainty values especially for NO2 (see table 6-9); PM10 results of CAMx appear to<br />

be better, but looking <strong>at</strong> the uncertainty maps they seems not good enough. The<br />

uncertainty maps presented here, besides indic<strong>at</strong>ing the quality of the models, are very<br />

useful as inform<strong>at</strong>ion for decision makers in <strong>air</strong> quality assessment.<br />

For PM10, the methodology proposed by Colvile et al. (2002) is more helpful, because it<br />

allows the removal of the system<strong>at</strong>ic underestim<strong>at</strong>ion effect caused by secondary<br />

<strong>pollution</strong>. The calcul<strong>at</strong>ed “precision” values are reported in Table 6-10 and show th<strong>at</strong>,<br />

taking into account the underestim<strong>at</strong>ion due to the neglect of the secondary component<br />

of PM10, <strong>modelling</strong> systems th<strong>at</strong> use inert approach gives encouraging results also for<br />

primary PM10 (Colvile et al. 2002 precision gives uncertainty values lower than EC<br />

quality objective).<br />

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Chapter 6 City scale results<br />

NO2<br />

256<br />

PM10<br />

MIN MEAN MAX MIN MEAN MAX<br />

ADMS 1% 24% 42% 10% 56% 70%<br />

CGPL 1% 21% 72% 38% 57% 68%<br />

CGSA 6% 28% 45% 39% 59% 68%<br />

CAMx 28% 102% 283% 6% 36% 67%<br />

EC objective 30% 50%<br />

Table 6-9 Minimum, average and maximum rel<strong>at</strong>ive maximum error (RME) of<br />

annual mean concentr<strong>at</strong>ion of NO2 and PM10 and rel<strong>at</strong>ive <strong>modelling</strong> quality<br />

objectives established by EU directives<br />

NO2 PM10<br />

ADMS 23% 23%<br />

CGPL 25% 21%<br />

CGSA 24% 21%<br />

CAMx 59% 27%<br />

Table 6-10 Model precision calcul<strong>at</strong>ed following Colvile et al. (2002) methodology


Chapter 6 City scale results<br />

0 - 10 %<br />

10 - 20 %<br />

20 - 30 %<br />

30 - 40 %<br />

40 - 50 %<br />

50 - 75 %<br />

75 - 100 %<br />

> 100 %<br />

0 - 10 %<br />

10 - 20 %<br />

20 - 30 %<br />

30 - 40 %<br />

40 - 50 %<br />

50 - 75 %<br />

75 - 100 %<br />

> 100 %<br />

Figure 6-8 Maps of RME of the NO2 annual mean concentr<strong>at</strong>ion: ADMS (topleft),<br />

CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right)<br />

0 - 10 %<br />

10 - 20 %<br />

20 - 30 %<br />

30 - 40 %<br />

40 - 50 %<br />

50 - 75 %<br />

75 - 100 %<br />

> 100 %<br />

0 - 10 %<br />

10 - 20 %<br />

20 - 30 %<br />

30 - 40 %<br />

40 - 50 %<br />

50 - 75 %<br />

75 - 100 %<br />

> 100 %<br />

Figure 6-9 Maps of RME of the NO2 annual mean concentr<strong>at</strong>ion: ADMS (topleft),<br />

CGPL (top-right), CGSA (bottom-left) and CAMx (bottom-right)<br />

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Chapter 6 City scale results<br />

6.4 Scenario analysis<br />

On the base of the model evalu<strong>at</strong>ion, ADMS-Urban turn out to be the most reliable<br />

<strong>modelling</strong> system for the present scenarios analysis. In addition to good performances,<br />

ADMS-Urban assured easy use, short comput<strong>at</strong>ional, pre-processing and postprocessing<br />

time, and the opportunity of analyzing small scale effects by means his street<br />

canyon module, if reliable traffic volume d<strong>at</strong>a for the entire area will be available. For<br />

all these reasons AMDS-Urban was selected in order to realize the scenario analysis.<br />

NO2 and primary PM10 concentr<strong>at</strong>ions of the two scenarios considered (actual scenario,<br />

2003, and future scenario, 2012) were analyzed, considering the necessity of the Air<br />

Quality Action Plan and the results of the model evalu<strong>at</strong>ion.<br />

First, according to the <strong>air</strong> quality legisl<strong>at</strong>ion actually in force, annual (both NO2 and<br />

PM10), maximum hourly (only NO2) and maximum daily (only PM10) average<br />

concentr<strong>at</strong>ions maps were calcul<strong>at</strong>ed considering all the source together and the regional<br />

background for the actual and future scenario (see figures 6-10/6-13, top maps). Maps<br />

of the rel<strong>at</strong>ive percentage difference of the concentr<strong>at</strong>ions calcul<strong>at</strong>ed in the two<br />

scenarios normalized by the <strong>air</strong> quality standard (CF-A, see section 4-6 for details) were<br />

also presented in figures 6-10/6-13 (bottom maps) in order to better evalu<strong>at</strong>e the<br />

evolution of the global <strong>air</strong> quality impact in the metropolitan area of Florence, Pr<strong>at</strong>o and<br />

Pistoia.<br />

Concentr<strong>at</strong>ion maps of the base scenario shows, as expected (the need of an Air Quality<br />

Action Plan derived from noncompliance with the <strong>air</strong> quality limits), th<strong>at</strong> actually in the<br />

metropolitan area of Florence, Pr<strong>at</strong>o and Pistoia there is a critical situ<strong>at</strong>ions both for<br />

NO2 and primary PM10, considering every <strong>different</strong> time average of the pollutant<br />

concentr<strong>at</strong>ion. In the most popul<strong>at</strong>ed areas (Firenze, Pr<strong>at</strong>o, Pistoia and Empoli)<br />

concentr<strong>at</strong>ions of both pollutants are higher than <strong>air</strong> quality standards or however very<br />

close to the threshold limits (40 µg/m 3 for NO2 annual mean, 200 µg/m 3 for NO2<br />

maximum hourly mean, 20 µg/m 3 for PM10 annual mean and 50 µg/m 3 for PM10<br />

maximum daily mean). In particular PM10 situ<strong>at</strong>ion appear to be particularly grave,<br />

considering th<strong>at</strong> only primary component of PM10 is considered in this study.<br />

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Chapter 6 City scale results<br />

U<br />

< 15<br />

259<br />

15 - 20<br />

20 - 30<br />

30 - 40<br />

40 - 50<br />

50 - 71<br />

-46 - -30 %<br />

-30 - -20 %<br />

-20 - -15 %<br />

-15 - -10 %<br />

-10 - -5 %<br />

-5 - -1 %<br />

Figure 6-10 NO2 annual mean concentr<strong>at</strong>ions [µg/m3] of actual (top-left) and<br />

future scenario (top-right) and rel<strong>at</strong>ive percentage difference<br />

< 60<br />

60 -70<br />

70 - 80<br />

80 - 100<br />

100 - 150<br />

150 - 168<br />

-28 - -20 %<br />

-20 - -15 %<br />

-15 - -10 %<br />

-10 - -7.5 %<br />

-7.5 - -5 %<br />

-5 - -2 %<br />

Figure 6-11 NO2 maximum hourly mean concentr<strong>at</strong>ions [µg/m3] of actual (top-left)<br />

and future scenario (top-right) and rel<strong>at</strong>ive percentage difference (bottom)


Chapter 6 City scale results<br />

< 14<br />

260<br />

14 - 15<br />

15 - 16<br />

16 - 18<br />

18 - 20<br />

20 - 28<br />

-65 - -20 %<br />

-20 - -10 %<br />

-10 - -5 %<br />

-5 - -2 %<br />

-2 - 0 %<br />

0 - 2 %<br />

Figure 6-12 PM10 annual mean concentr<strong>at</strong>ions [µg/m3] of actual (top-left) and<br />

future scenario (top-right) and rel<strong>at</strong>ive percentage difference (bottom)<br />


Chapter 6 City scale results<br />

Comparison between actual and future concentr<strong>at</strong>ions and rel<strong>at</strong>ive percentage difference<br />

maps (see figure 6-10/6-13) show a global reduction of the concentr<strong>at</strong>ions between the<br />

actual and the future scenario in the entire investig<strong>at</strong>ed area (neg<strong>at</strong>ive value of CF-A).<br />

The concentr<strong>at</strong>ion reductions are evident, especially, in correspondence of the most<br />

popul<strong>at</strong>ed areas, in particular in Florence and Empoli, where the highest rel<strong>at</strong>ive<br />

percentage difference between the two scenarios normalized by the <strong>air</strong> quality standard,<br />

CF-A, can be seen (-46% for NO2 annual mean concentr<strong>at</strong>ion, -28% for NO2 maximum<br />

hourly mean concentr<strong>at</strong>ion, -65% for PM10 annual mean concentr<strong>at</strong>ion, -92% for PM10<br />

maximum daily mean concentr<strong>at</strong>ion). Areas with high concentr<strong>at</strong>ion decrease seem to<br />

be more extended for NO2 than for PM10, even if, locally, higher concentr<strong>at</strong>ion<br />

reduction can be observed for this last pollutant. This is confirmed by the analysis of the<br />

CF-A value averaged over the entire area; a mean reduction of -0.9% and -1.3% are seen<br />

respectively for PM10 annual and maximum daily average concentr<strong>at</strong>ion, while mean<br />

reduction of -8.2% and -6.6% for NO2 annual and maximum hourly average<br />

concentr<strong>at</strong>ion. Considering the uncertainty of the model (see section 6.3.3) this decrease<br />

of the NO2 and primary PM10 concentr<strong>at</strong>ions doesn’t seem to be enough to ensure<br />

compliance with the <strong>air</strong> quality limits <strong>at</strong> a future time.<br />

To evalu<strong>at</strong>e the importance of every <strong>different</strong> type of emission source and consequently<br />

supply important inform<strong>at</strong>ion to establish the efficiency of the environmental actions<br />

th<strong>at</strong> could be adopted to reduce the pollutant levels in the investig<strong>at</strong>ed <strong>urban</strong> area,<br />

annual mean concentr<strong>at</strong>ion maps were then carried out, separ<strong>at</strong>ely, for: main point<br />

sources (POINT), main line sources (LINE), small industries (IND), local road traffic<br />

(ROAD), domestic he<strong>at</strong>ing (HEAT) and other sources (OTHER). Results of these<br />

simul<strong>at</strong>ions are reported on figures 6-14 and 6-15. For brevity only maps for NO2 are<br />

reported here; PM10 maps are not shown in figures 6-14 and 6-15, but similar<br />

consider<strong>at</strong>ion to th<strong>at</strong> for NO2 can be obtained also for PM10.<br />

Comparison between maps of the actual and future scenario for the <strong>different</strong> type of<br />

sources show almost unchanged annual mean concentr<strong>at</strong>ion values due to the industrial<br />

sources (both main point sources, POINT, and small industries, IND) and to the other<br />

sources; while significant concentr<strong>at</strong>ion reduction can be observed for traffic sources<br />

(both main line source, LINE, and local traffic, ROAD) and domestic he<strong>at</strong>ing.<br />

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Chapter 6 City scale results<br />

< 0.5<br />

262<br />

0.5 - 1<br />

1 - 2<br />

2 - 3<br />

3 - 5<br />

5 - 7.4<br />


Chapter 6 City scale results<br />

< 1<br />

1 - 2.5<br />

2.5 - 5<br />

5 - 10<br />

10 - 15<br />

15 - 17.3<br />

< 0.1<br />

0.1 - 0.25<br />

0.25 - 0.5<br />

0.5 - 1<br />

1 - 1.5<br />

1.5 - 1.6<br />

Figure 6-15 NO2 annual mean concentr<strong>at</strong>ions [µg/m3]. Comparison between actual<br />

(left maps) and future scenario (right maps) concentr<strong>at</strong>ions due to <strong>different</strong> types of<br />

source: HEAT (first row) and OTHER (second row)<br />

Figure 6-16 Maximum, mean and minimum r<strong>at</strong>ios, Ri-all (percentage), for the<br />

actual (top graphs) and future scenarios (bottom graphs) of NO2 and PM10<br />

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Chapter 6 City scale results<br />

To define the weights of the <strong>different</strong> emission sources in terms of pollutant<br />

concentr<strong>at</strong>ions, evalu<strong>at</strong>ions of the r<strong>at</strong>ios (Ri-all) between the annual mean concentr<strong>at</strong>ions<br />

due to a specific type of source (Ci) and the concentr<strong>at</strong>ion levels deriving from all the<br />

sources (Call) for the actual and future scenarios were carried out for each receptor of the<br />

used comput<strong>at</strong>ional grid. The maximum (represent<strong>at</strong>ive of the local effect), the mean<br />

(represent<strong>at</strong>ive of the global effects) and the minimum r<strong>at</strong>ios, Ri-all (percentage), were<br />

reported in figure 6-16 both for NO2 and PM10.<br />

The percentage contributions of every <strong>different</strong> type of source are nearly unchanged<br />

between the two scenarios (base and future) both for NO2 and PM10. For NO2<br />

concentr<strong>at</strong>ions, traffic emission, especially local road traffic (ROAD), appear to be the<br />

most significant type of source both considering the global and the local effects; the<br />

contribution of industrial sources (both POINT and IND) and domestic he<strong>at</strong>ing (HEAT)<br />

is less important. Differently, for PM10 concentr<strong>at</strong>ions the contribute of the <strong>different</strong><br />

type of source is r<strong>at</strong>her homogeneous; very similar mean r<strong>at</strong>ios can be observed for<br />

traffic, industrial and domestic he<strong>at</strong>ing.<br />

6.5 Discussion of the relevance and applic<strong>at</strong>ion of the results<br />

Several advanced and widespread m<strong>at</strong>hem<strong>at</strong>ical models were used for scenario analysis<br />

purposes within the MoDiVaSET-2 project; <strong>different</strong> models for <strong>different</strong> sources were<br />

chosen and multiscale <strong>modelling</strong> applied. The objective was to develop and assessing a<br />

reliable <strong>modelling</strong> techniques for the study of future scenarios and, then, execute this<br />

analysis with the most reliable <strong>modelling</strong> system<br />

The results highlighted some issues rel<strong>at</strong>ed to <strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong>. In particular,<br />

they put in evidence the importance of including the following critical factors:<br />

1. Regional background concentr<strong>at</strong>ions: looking <strong>at</strong> the sensitivity study results (see<br />

section 6.3.2), it comes clear th<strong>at</strong> do not consider the regional background<br />

produce a system<strong>at</strong>ic underestim<strong>at</strong>ion of <strong>pollution</strong> levels. In this thesis the<br />

background was considered simply taking into account the concentr<strong>at</strong>ion<br />

observed in a peripheral monitoring near the area of interest; it could be better to<br />

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Chapter 6 City scale results<br />

use the d<strong>at</strong>a deriving from a regional models. However, this doesn’t not affect<br />

the analysis of future scenarios (starting from the hypothesis th<strong>at</strong> background<br />

concentr<strong>at</strong>ions do not change).<br />

2. Smaller scale effects: monitoring st<strong>at</strong>ions are often loc<strong>at</strong>ed in complex<br />

environments; as we observed in section 6.3.3, this implies a decrease in the<br />

effectiveness of valid<strong>at</strong>ion studies if we want to consider not only background<br />

sites but also roadside ones. A possible solution to evalu<strong>at</strong>e the <strong>air</strong> quality<br />

impact also in the hotspot loc<strong>at</strong>ed in complex environment would be to include<br />

small scale effects (e.g. street canyon <strong>modelling</strong>) in order to increase the<br />

resolution of the models. It is necessary to have reliable traffic volume d<strong>at</strong>a of<br />

the entire study area, which very often are not available, as in the present case.<br />

3. Secondary <strong>pollution</strong>: primary PM10 levels are only a small part of the total PM10<br />

concentr<strong>at</strong>ions; besides high regional background levels, much of the <strong>urban</strong><br />

PM10 is actually produced by chemical transform<strong>at</strong>ions and other physical<br />

mechanisms (for example, resuspension).<br />

The limit<strong>at</strong>ions highlighted by the MoDiVaSET-2 results could be reduced by applying<br />

a real multiscale model, integr<strong>at</strong>ing both regional scale <strong>modelling</strong> (background<br />

concentr<strong>at</strong>ions), street (or neighbourhood) scale <strong>modelling</strong> and chemical mechanisms<br />

<strong>modelling</strong>. But this it is not an easy task, because many input d<strong>at</strong>a are needed, but<br />

unfortun<strong>at</strong>ely very often are not available or reliable, as demonstr<strong>at</strong>ed for the<br />

applic<strong>at</strong>ion of CAMx’s full chemistry simul<strong>at</strong>ion.<br />

All the issues listed above affected the evalu<strong>at</strong>ion work carried out in this thesis;<br />

however, this does not alter the validity of the scenario analysis, because it is based on<br />

the differences between calcul<strong>at</strong>ed primary pollutants concentr<strong>at</strong>ions deriving from the<br />

considered emissions. Despite the critical factors listed above, modeling results can be<br />

trusted on the basis of the evalu<strong>at</strong>ion work and provide indispensable inform<strong>at</strong>ion to the<br />

choice of efficient environmental actions th<strong>at</strong> must be adopted in the Air Quality Action<br />

Plan of Tuscany.<br />

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Chapter 6 City scale results<br />

The approach proved very powerful and useful, and further development can lead to a<br />

real applic<strong>at</strong>ion of integr<strong>at</strong>ed assessment models. The successful applic<strong>at</strong>ions of<br />

scenario analysis <strong>modelling</strong> techniques are only the first step for the development of<br />

<strong>urban</strong> scale integr<strong>at</strong>ed assessment models (IAM). As a m<strong>at</strong>ter of facts, a detailed<br />

description of the effects and impacts, can lead to the development of IAM by simply<br />

adding modules for calcul<strong>at</strong>ing economic effects as well as health effects, based on the<br />

calcul<strong>at</strong>ed <strong>pollution</strong> increase (or decrease). This further step, however, is not trivial.<br />

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Chapter 7<br />

7.Conclusions<br />

7.1 Summary of main findings and conclusions<br />

Dispersion <strong>modelling</strong> is an important part of assessing and managing <strong>air</strong> quality in<br />

cities. Urban <strong>air</strong> quality <strong>modelling</strong> is usually performed making simplifying<br />

assumptions relevant <strong>at</strong> a particular scale. The <strong>scales</strong> involved in <strong>air</strong> quality <strong>modelling</strong><br />

in cities are basically four: the regional scale, the <strong>urban</strong> (city) scale, the neighbourhood<br />

scale and the local (street) scale.<br />

However, <strong>urban</strong> <strong>dispersion</strong> <strong>modelling</strong> is a complex task, which involves all the <strong>scales</strong><br />

cited above and limited by many uncertainties. As highlighted in chapter 2, one of the<br />

main difficulties in <strong>urban</strong> <strong>air</strong> quality <strong>modelling</strong> and evalu<strong>at</strong>ion is the lack of reliable<br />

experimental d<strong>at</strong>a, and this is a common fe<strong>at</strong>ure of all the <strong>scales</strong> involved.<br />

The aim of the research presented in this thesis was to extend existing <strong>urban</strong> <strong>dispersion</strong><br />

research using both experimental and m<strong>at</strong>hem<strong>at</strong>ical approaches. The focus was on<br />

oper<strong>at</strong>ional <strong>urban</strong> <strong>air</strong> quality models, suitable for integr<strong>at</strong>ed assessment <strong>modelling</strong>, and<br />

on model evalu<strong>at</strong>ion approaches.<br />

The work has been carried out within the framework of two major projects: the<br />

DAPPLE-HO project and the MoDiVaSET-2 project. Air quality <strong>modelling</strong> was applied<br />

for <strong>different</strong> purposes and <strong>at</strong> <strong>different</strong> <strong>scales</strong>.<br />

Wind tunnel experiments in a small scale physical model of a real <strong>urban</strong> area in central<br />

London were performed; in particular, these focused on the <strong>dispersion</strong> phenomena<br />

associ<strong>at</strong>ed with traffic emissions. The experiments involved a st<strong>at</strong>e-of-the-art technique<br />

such as tracer concentr<strong>at</strong>ion measurements and a new methodology based on the use of<br />

point sources for simul<strong>at</strong>ing a traffic line source via m<strong>at</strong>hem<strong>at</strong>ical integr<strong>at</strong>ion. In<br />

previous wind tunnel works vehicles emission were usually simul<strong>at</strong>ed by uniform and<br />

steady line source emission without taking into account the effects of non uniform<br />

distribution of pollutant emissions due to traffic queuing.<br />

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Chapter 8 Conclusions<br />

The adopted technique demonstr<strong>at</strong>ed to be a reliable method to understand the main<br />

characteristics of the <strong>dispersion</strong> field due to traffic sources in actual <strong>urban</strong><br />

environments, to establish source-receptor rel<strong>at</strong>ionships and to evalu<strong>at</strong>e the exposure<br />

dosages for <strong>different</strong> traffic conditions.<br />

An advanced experimental methodology based on the interference method of Warhaft<br />

(1984) was also developed in order to analyze the correl<strong>at</strong>ion between concentr<strong>at</strong>ion<br />

fluctu<strong>at</strong>ions from two point sources belonging to a line emission. Remembering th<strong>at</strong><br />

concentr<strong>at</strong>ion variance connected with a line source can be expressed in term of<br />

correl<strong>at</strong>ion between the fluctu<strong>at</strong>ions produced by two point sources, the measure of<br />

these correl<strong>at</strong>ions permitted to establish source-receptor rel<strong>at</strong>ionships also in terms of<br />

fluctu<strong>at</strong>ing concentr<strong>at</strong>ions. The local topography of the building turn out to be a factor<br />

th<strong>at</strong> strongly influences the correl<strong>at</strong>ion between fluctu<strong>at</strong>ing concentr<strong>at</strong>ion from two<br />

sources in <strong>urban</strong> areas; channeling and re-circul<strong>at</strong>ion inside the canopy can produce<br />

very significant increasing of correl<strong>at</strong>ion and consequently on instantaneous pollutant<br />

concentr<strong>at</strong>ions in <strong>urban</strong> area, th<strong>at</strong>, consequently, has to be carefully taken into account<br />

in order to estim<strong>at</strong>e the maximum expected exposure levels in the cities.<br />

The obtained results proved encouraging and the used methodologies has given insight<br />

into the effect of <strong>different</strong> car movements and their impact on receptors or people both<br />

in terms of mean and fluctu<strong>at</strong>ing concentr<strong>at</strong>ions.<br />

The d<strong>at</strong>a sets resulting from the performed experiments are not exhaustive or<br />

system<strong>at</strong>ic. However they can be useful valid<strong>at</strong>ion d<strong>at</strong>a which can be used for model<br />

improvement and development. The techniques developed for the evalu<strong>at</strong>ion of the<br />

mean exposure dosages and the correl<strong>at</strong>ion between concentr<strong>at</strong>ion fluctu<strong>at</strong>ions, if<br />

further perfected, can lead to an improvement of the existing m<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong><br />

techniques th<strong>at</strong>, <strong>at</strong> the moment, also due to a lack of experimental d<strong>at</strong>a, tend to neglect<br />

the effects of non uniform distribution of pollutant emissions due to traffic queuing.<br />

Scenario analysis was the focus of the MoDIVaSET-2 project. The complex situ<strong>at</strong>ion of<br />

a metropolitan area was studied by means of several models and <strong>modelling</strong> approaches.<br />

Several advanced oper<strong>at</strong>ional models were involved: CALPUFF, CALGRID,<br />

CALINE4, CAMx, SAFE AIR and ADMS-Urban. A detailed model evalu<strong>at</strong>ion process<br />

268


Chapter 8 Conclusions<br />

was applied in order to assess the reliability of the <strong>modelling</strong> systems involved and to<br />

find the main limit<strong>at</strong>ions. The results highlighted the necessity of an even higher<br />

integr<strong>at</strong>ion between the <strong>different</strong> <strong>modelling</strong> <strong>scales</strong>, in particular with the regional scale<br />

and the local (street) scale. Another issue was the necessity of including chemical<br />

transform<strong>at</strong>ions in a reliable way in order to estim<strong>at</strong>e secondary pollutant<br />

concentr<strong>at</strong>ions, which can be very important, for example, for assessing PM10 levels in<br />

<strong>urban</strong> areas. The evalu<strong>at</strong>ion of CAMx’s full chemistry simul<strong>at</strong>ions show the importance<br />

of reliably s<strong>at</strong>isfying the extensive d<strong>at</strong>a input requirements of a model; in this case, the<br />

lack of reliable input d<strong>at</strong>a of the CAMx’s chemistry module (speci<strong>at</strong>ion of VOC<br />

emissions, turbidity, ozone column density, w<strong>at</strong>er vapor concentr<strong>at</strong>ions) caused larger<br />

total uncertainty than models th<strong>at</strong> use the inert approach.<br />

However, the m<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong> techniques applied in this research proved very<br />

useful for scenario analysis and they are suitable for integr<strong>at</strong>ed assessment models. IAM<br />

can be a powerful tool for <strong>air</strong> quality management in <strong>urban</strong> areas.<br />

7.2 Limit<strong>at</strong>ions and recommend<strong>at</strong>ions for future research<br />

Simplifying assumptions have been made throughout the thesis, both for wind tunnel<br />

experiments and m<strong>at</strong>hem<strong>at</strong>ical <strong>modelling</strong>.<br />

A first limit<strong>at</strong>ion comes from the fact th<strong>at</strong> only two wind direction was used during the<br />

tests carried out in the DAPPLE model. However the purpose of the experiments was<br />

not to cre<strong>at</strong>e extensive d<strong>at</strong>a sets such as in the case of many studies on idealised<br />

configur<strong>at</strong>ions, but to investig<strong>at</strong>e flow and <strong>dispersion</strong> field in real situ<strong>at</strong>ions.<br />

Other simplifying assumptions for the wind tunnel experiments included the fact th<strong>at</strong><br />

only neutral <strong>at</strong>mospheric conditions were simul<strong>at</strong>ed, and thermal effects were ignored.<br />

Another potentially important factor such as vehicle induced turbulence was also not<br />

included in order to simplify the scope of the research.<br />

Simplifying assumptions taken during the <strong>modelling</strong> applic<strong>at</strong>ions within the<br />

MoDiVaSET-2 project included: inclusion of regional background simply considering<br />

269


Chapter 8 Conclusions<br />

the concentr<strong>at</strong>ion observed in a peripheral monitoring near the area of interest,<br />

neglecting of chemical transform<strong>at</strong>ions and smaller scale effects. Nevertheless,<br />

especially for the PM10 simul<strong>at</strong>ions, neglecting chemical reactions was a big limit<strong>at</strong>ion<br />

for the validity of the results. However these simplific<strong>at</strong>ions did not affect the<br />

effectiveness of the results for the analysis of <strong>different</strong> scenarios.<br />

Many recommend<strong>at</strong>ions can be made for further study based on the methods and results<br />

presented in this thesis. Some of the limit<strong>at</strong>ions of the wind tunnel experiments<br />

explained above could be simply addressed by considering a more extensive<br />

experimental set up, studying <strong>different</strong> wind direction configur<strong>at</strong>ions or including traffic<br />

induced turbulence as well. Another interesting improvement could come from<br />

considering the effects of wind calms, he<strong>at</strong>ing effects and stability conditions on the<br />

flow and <strong>dispersion</strong> phenomena.<br />

A big challenge for the improvement of the <strong>modelling</strong> systems proposed and applied for<br />

the evalu<strong>at</strong>ion of emission scenarios would be the integr<strong>at</strong>ion between <strong>different</strong><br />

<strong>dispersion</strong> <strong>scales</strong>. The multiscale approach proved very powerful for integr<strong>at</strong>ed<br />

assessment <strong>modelling</strong> <strong>at</strong> larger <strong>scales</strong>, and the inclusion of the regional scale and the<br />

local scale in <strong>urban</strong> studies could sensibly improve the <strong>modelling</strong> performance and<br />

permit not only the analysis of the concentr<strong>at</strong>ions of background site but also of<br />

roadside site, th<strong>at</strong> are usually the hotspots of an <strong>urban</strong> area.<br />

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