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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