## 留言板

 引用本文: 张永利, 杨联贵. 地形效应下正压准地转模式的能量守恒[J]. 应用数学和力学, 2016, 37(9): 936-944.
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.

• 中图分类号: P401

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

Funds: The National Natural Science Foundation of China(11362012)；The National Science Fund for Young Scholars of China(11202092;11301259)
• 摘要: 基于正压大气模式，研究了地形对大气能量的影响.首先，利用尺度分析方法，将正压模式方程组无量纲化.然后，选定一个合适的小参数，再用小参数展开，依次得到无量纲的正压模式方程组的零级和一级近似方程.获得了地形效应下的正压准地转位涡方程.最后通过新的位涡方程推导了能量守恒的结论.并进一步从能量的角度分析和解释了地形对西风的影响.
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##### 出版历程
• 收稿日期:  2016-03-14
• 修回日期:  2016-05-09
• 刊出日期:  2016-09-15

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