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150<br />

Relative role of domain size, grid size, and initial conditions in the<br />

simulation of high impact weather events<br />

Himesh S 1 , Goswami P 1 , and Goud BS 2<br />

1. CSIR Centre for Mathematical Modeling and Computer Simulation, NAL Belur Campus, Wind Tunnel Road, Bangalore-<br />

560037, India. Email:himesh@cmmacs.ernet.in<br />

2. UVCE, Department of Civil Engineering, Bangalore University, Bangalore-560056, India<br />

1. Summary<br />

The limited domain, and the associated artificial lateral<br />

boundaries, introduces several uncertainties and errors into<br />

simulation of Limited Area Models (LAM). The size of the<br />

model domain with its implicit geographical coverage also<br />

implicitly determines the large-scale dynamics and terrain<br />

effects. Thus, domain size and resolution together will<br />

determine the spectrum of resolved scale and the nature of<br />

scale interaction in the model dynamics. A comparative,<br />

comprehensive and quantitative estimation of the relative<br />

role of domain size, horizontal grid size (horizontal grid<br />

spacing) and initial condition in the simulation of mesoscale<br />

events is however, lacking. We investigate this issue using a<br />

mesoscale model (MM5V3) with respect to heavy rainfall<br />

event with a series of ensemble (5 initial conditions)<br />

simulations. We first use a high-resolution (10-km) bench<br />

mark simulation to show the model’s performance in<br />

simulating extreme rainfall events. The sensitivity<br />

simulations (varying domain size and grid distance) are<br />

carried out at coarser resolutions in view of the large number<br />

of simulations involved, and as our emphasis is on relative<br />

roles and not on precise forecast. Our results show that along<br />

with initial conditions and grid distance the size of the<br />

domain also significantly affects simulated quantities like<br />

total rain, maximum rain and other dynamical fields. While<br />

the quantitative aspects of this conclusion are likely to<br />

change based on type and location of the event, the results<br />

show that domain size play as much an important role as that<br />

of horizontal resolution and initial condition in the<br />

simulation of high impact weather events like heavy rainfall.<br />

2. Introduction<br />

Genesis and evolution of mesoscale events are strongly<br />

determined by local inhomogenities of boundary forcings in<br />

addition to non-hydrostatic dynamics that is characterized by<br />

small spatial scales. Limited area or mesoscale models<br />

(LAM) thus continue to be the most popular and effective<br />

tools for simulating and forecasting mesoscale events.<br />

Numerous studies have demonstrated the ability of high<br />

resolution mesoscale models to successfully simulate high<br />

impact weather events like extreme rainfall and their<br />

associated synoptic features. A necessary price for such high<br />

horizontal resolution, however, is a small numerical domain<br />

of integration due to computational constraints. In reality,<br />

both resolution and the size of the mesoscale domains play<br />

critical role in the quality of the simulation. The size of the<br />

domain implicitly determines the large-scale dynamics and<br />

terrain effects, while the horizontal resolution determines the<br />

smallest resolvable scale. Thus the size of the domain and<br />

the resolution together determine the spectrum of resolved<br />

scales and the associated scale interaction in the model<br />

dynamics. Warner et al (1997) described the Lateral<br />

Boundary Conditions (LBC) as potential limitation and an<br />

inevitable problem of regional weather prediction. Giorgi et<br />

al (1999) discussed the importance of the choice of model<br />

domain in mesoscale simulation and concluded that it was<br />

not feasible to evolve general criteria for the choice of<br />

model domain but to depend largely on trial and error<br />

approach. One of the necessary requirements in mesoscale<br />

simulations to minimize the adverse impact of lateral<br />

boundary condition on the model solution is to keep the<br />

lateral boundaries away from the region of interest (Pielke,<br />

2002). The question of relative sensitivity of domain size,<br />

horizontal grid distance and initial conditions on the<br />

quality of mesoscale simulation, however, has not yet been<br />

studied in depth in the context of high impact weather<br />

events. The objective of the present study is to investigate<br />

this issue in the context of high impact weather event<br />

occurred in Indian Monsoon region.<br />

3. Brief Synoptic Description of the Event<br />

The extreme rainfall event that flooded the metropolis of<br />

Mumbai on the west coast of India (72.52E and 18.52N)<br />

was an intense and highly localized meso-scale (meso-β)<br />

convective system, with a spatial scale of only about 30<br />

Km. It was also a short-lived system, with recorded<br />

rainfall of around 94 cm in 24 hours between 26 -27 th July<br />

2005, with most of the rainfall occurred in the afternoon<br />

of July 26 th , 2005. Satellite pictures had shown the event<br />

as a centre of intense precipitation along with a few other<br />

precipitation centers in the west-east direction. Satellite<br />

images also showed deep cloud system (one form east and<br />

the other from Arabian Sea) over the region. The overall<br />

synoptic situation was that of intense convective activity<br />

with strong continuous convergence of offshore winds<br />

(westerlies).The other features were; the presence of low<br />

pressure system (22N, 85.5E) and its associated cyclonic<br />

circulation up to 300mb, offshore trough was also seen at<br />

10N-20N.<br />

4. Design of Experiments<br />

In our study we have considered Extreme Rainfall Event<br />

occurred over Mumbai (west coast of India, July 26-27,<br />

2005). Fifth generation NCAR /Penn State mesoscale<br />

model (MM5V3) was used in this study. This is a nonhydrostatic<br />

model [Dudhia, 2004] with multiple choices<br />

for parameterization of various processes like cumulus<br />

convection, Planetary Boundary Layer (PBL) and nesting<br />

capability. All simulations in this study were carried out<br />

with a single domain and with same physics options<br />

(cumulus parameterization-Anthes-Kuo, Boundary<br />

Condition-Relaxation., Microphysics-Simple Ice,<br />

Radiation Scheme- Dudhia, Vertical levels-23). We have<br />

considered three grid distances (90, 60 30 and 10-km) in<br />

our study to examine the relative role of domain size and<br />

horizontal grid distance in the simulation of extreme<br />

rainfall event. While it could be argued that proper<br />

simulation of mesoscale events require much higher grid<br />

distance, the focus here is on quantitative assessment of<br />

relative roles of domain size versus grid distance through<br />

large number of sensitivity studies. Seven domains (D1 to<br />

D7, Fig.1.) of varying longitudinal and latitudinal extent<br />

were chosen for this study, out of which five domains (D2<br />

to D6) were common to all the three grid distances (90, 60

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