A Numerical Model Simulation Of Atmospheric Air Motion In Shallow Water Domain Performances With Respect To Global Model

An atmosphere is a gaseous envelope around a planet where a wide variety of physical,rnchemical and dynamical processes takes place. As a result atmospheric researchersrncan not do controlled experiment in the large scale atmosphere rather they look at anrnalternative method so called atmospheric modelling to understand the atmosphere.rnAmong different kinds of modelling, in this thesis we apply Numerical modelling,rnwhere the processes taking place in the earth’s atmosphere are expressed in termsrnof mathematical equation (conservative principles), and experiments are done up onrnsolving those mathematical equation. The validity of the model out put is checked byrncomparing it with the observed value or large global model which includes completernphysics of the problem, by National Center for Environmental Prediction (NCEP) forrnthis study. In this study, shallow water equation is used to simulate atmospheric airrnmotion over mid latitude and Ethiopia on May 26, 2009. The result of the model outrnput for zonal velocity shows good agreement over mid latitude and Ethiopia. Therndiscrepancy between our model and NCEP is ±2.22273 m/s over mid latitude andrn±2.75427 m/s over Ethiopia on average. The result of model out put for absoluternvorticity also agrees with NCEP data over mid latitude and Ethiopia. The discrepancyrnbetween our model and NCEP is ±0.00001 1/s over mid latitude and ±0.00004 1/srnover Ethiopia. How ever, the discrepancy grows with prediction time. In general, thisrnstudy shows that shallow water equation is good enough to capture many behaviorsrnobserved in earth’s atmosphere, and hence it can be used over any other region of thernearths atmosphere to describe the horizontal atmospheric structure

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