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43<br />

Settled and remaining issues in regional climate modelling with limited-area<br />

nested models<br />

René Laprise 1,4,5 , Ramón de Elía 2,4,5 , Daniel Caya 2,4,5 , Sébastien Biner 2 , Philippe Lucas-Picher 3 , Emilia<br />

Diaconescu 1,4,5 , Martin Leduc 1,4,5 , Adelina Alexandru 1,4,5 , Leo Separovic 1,4,5 and Alejandro di Luca 1,4,5<br />

1 Université du Québec à Montréal (UQÀM), Montréal (Québec), Canada, laprise.rene@uqam.ca; 2 Consortium Ouranos,<br />

Montréal (Québec), Canada; 3 Danish Meteorological Institute (DMI), Copenhagen, Denmark; 4 Canadian Network for<br />

Regional Climate Modelling and Diagnostics (CRCMD), Montréal (Québec), Canada; 5 Centre pour l’Étude et la Simulation<br />

du Climat à l’Échelle Régionale (ESCER), Montréal (Québec), Canada<br />

1. Introduction<br />

A pragmatic approach to reduce the computing cost of highresolution<br />

global climate models is to apply the high<br />

resolution over only a subset of the globe, a technique<br />

known as nested Regional Climate Modelling. <strong>Low</strong>er<br />

resolution data, either simulated by Coupled Global Climate<br />

Models (CGCM) or from reanalyses of observations, are<br />

interpolated in time and in space on the high-resolution grid<br />

of a limited-area Regional Climate Model (RCM) and serve<br />

to define the lateral (and often the ocean surface) boundary<br />

conditions (LBC). Like all models, RCMs are subject to a<br />

variety of sources of errors and uncertainty, as well as to<br />

scepticism about their potential usefulness. But in addition,<br />

there are specific issues that arise with RCMs relating to<br />

their geographically limited computational domain, the<br />

nesting technique, the resolution jump between the RCM<br />

and the driving data, the update frequency of the LBC, and<br />

the imperfections in LBC data.<br />

This presentation will summarise the work presented in<br />

Laprise (2008), Laprise et al. (2008) and references therein.<br />

2. Dynamical Downscaling Hypothesis<br />

The ansatz behind the “dynamical downscaling” technique<br />

is that an RCM, driven by large-scale fields at its LBC,<br />

generates fine scales that are dynamically consistent with,<br />

and somehow preconditioned by the LBC. Initialised and<br />

driven by data without small-scale information, nested<br />

models develop small-scale variance even in the absence of<br />

strong surface forcing. Hence RCM are expected to act as a<br />

kind of magnifying glass that reveals details that cannot be<br />

resolved on a coarse mesh. The small scales represent the<br />

main potential added value of high-resolution RCM. A more<br />

controversial issue concerns the potential improvement of<br />

the large scales in the case of driving by low-resolution<br />

CGCM data.<br />

The spin-up of fine scales proceeds fairly rapidly. Within a<br />

few days in the simulation, atmospheric variance spectra and<br />

forecast error spectra become independent of the time since<br />

the simulation’s initiation and of the presence or absence of<br />

small scales in the initial and LBC. The hypothesised<br />

development mechanisms include fine-scale surface forcing,<br />

hydrodynamic instabilities, mesoscale processes, and<br />

nonlinear interactions cascading information from the large<br />

to the small scales.<br />

3. Deterministic Forecast Vs Climate Skill<br />

In idealised forecast experiments for mid-latitude domains<br />

with 100 by 100 grid points on a 45-km mesh, scales larger<br />

than about 800 km appear to retain extended deterministic<br />

predictability, while scales smaller than about 400 km loose<br />

predictability in a fashion similar to global models. For the<br />

small scales, the shorter the length scale, the shorter the<br />

predictable time. Hence even when fine scales are present<br />

initially and in the LBC, they do not retain deterministic<br />

temporal coherence (at the right place at the right time)<br />

beyond a day or so. This implies that part of the<br />

downscaling is not deterministic, i.e. not entirely<br />

determined or preconditioned by LBC. A nondeterministic,<br />

“free” component exists (free in the sense of<br />

its stochastic-like character) which is also reflected in the<br />

presence of some level of internal variability (IV) in<br />

nested models.<br />

Hence small scales are generated by nested models, but<br />

not with deterministic skill. Climate statistics of small<br />

scales appear to be skilful though, lending some<br />

confidence in the potential usefulness of RCMs in climate<br />

simulations and climate-change projections. IV puts<br />

however severe limitations on the usefulness of singleseason,<br />

single-simulation experiments. While IV may not<br />

be a major problem for climate applications as far as loworder<br />

statistics are concerned (when the domain size is not<br />

too big; see next section), as long as the user of an RCM is<br />

aware of its presence in the interpretation of results.<br />

4. Regional Domain Size<br />

In idealised experiments, it is seen that fine scales develop<br />

in RCM within a few days, and they have the right<br />

amplitude and the right statistics. It has been shown<br />

however that the full spin-up of small scales within the<br />

regional domain requires rather large domains, particularly<br />

in the upper troposphere in mid-latitudes where the flow is<br />

strong. Due to the continuous transport of low-resolution<br />

information from the lateral boundary, some distance is<br />

required for the spin-up process to proceed. The spin-up<br />

distance on the inflow side of domain is larger for stronger<br />

ventilation flow through the domain. For mid-latitude<br />

domains, this distance is thus larger in winter and at upper<br />

levels due to stronger winds. The physically meaningful<br />

portion of the limited-area domain must exclude the spinup<br />

distance, in addition to any sponge or buffer zone used<br />

as part of the lateral boundary nesting.<br />

The downscaling skill has been documented through a set<br />

of idealised “perfect prog” tests. Over small domains (e.g.<br />

70 linear grid points), the small-scale transient eddies are<br />

amplitude deficient, especially at upper levels. With larger<br />

domain (e.g. of the order of 200 linear grid points), smallscale<br />

transient eddies are simulated with the correct<br />

amplitude, but with very little time correlation with the<br />

reference. Lack of time synchronicity is of secondary<br />

importance for climate applications, but must be taken into<br />

consideration for process studies. Failure to reproduce the<br />

correct monthly or daily anomalies may however have<br />

important consequences for the downscaling skill in<br />

seasonal prediction and even for some climate<br />

applications.<br />

By their nature, nested RCM require externally provided<br />

data to drive them. Over mid-latitude domain, the<br />

application of LBC is usually sufficient to control the<br />

large-scale circulation through the RCM domain. There

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