ZHANG Yong-li, YANG Lian-gui. Conservation of Energy in the Barotropic Quasi-Geostrophic Model Under Orographic Effects[J]. Applied Mathematics and Mechanics, 2016, 37(9): 936-944. doi: 10.21656/1000-0887.370075
 Citation: ZHANG Yong-li, YANG Lian-gui. Conservation of Energy in the Barotropic Quasi-Geostrophic Model Under Orographic Effects[J]. Applied Mathematics and Mechanics, 2016, 37(9): 936-944.

# Conservation of Energy in the Barotropic Quasi-Geostrophic Model Under Orographic Effects

##### doi: 10.21656/1000-0887.370075
Funds:  The National Natural Science Foundation of China(11362012)；The National Science Fund for Young Scholars of China(11202092;11301259)
• Rev Recd Date: 2016-05-09
• Publish Date: 2016-09-15
• Based on the barotropic atmospheric model, the impact of the terrain on the atmospheric energy was studied. Firstly, the equations of the barotropic model were nondimensionalized for scale analysis. Next, an appropriate small parameter was selected and the small parameter expansion method was used to build successively the 0th- and 1st-level approximate equations for the nondimensionalized barotropic model. Under the orographic effects, the barotropic quasi-geostrophic potential vorticity equations were obtained from which the conservation of energy was deduced. Furthermore, the orographic effects on the westwind were analyzed and explained from the view of energy.
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