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

ZHANG Yong-li; YANG Lian-gui

doi:10.21656/1000-0887.370075

Volume 37 Issue 9

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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

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

doi: 10.21656/1000-0887.370075

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P.R.China

Funds: The National Natural Science Foundation of China(11362012)；The National Science Fund for Young Scholars of China(11202092;11301259)

Received Date: 2016-03-14
Rev Recd Date: 2016-05-09
Publish Date: 2016-09-15

Abstract

Abstract

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.
- barotropic quasi-geostrophic model,
- scale analysis,
- small parameter expansion,
- conservation of energy

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References(18)

References

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