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地形效应下正压准地转模式的能量守恒

张永利 杨联贵

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. doi: 10.21656/1000-0887.370075
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. doi: 10.21656/1000-0887.370075
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. doi: 10.21656/1000-0887.370075

地形效应下正压准地转模式的能量守恒

doi: 10.21656/1000-0887.370075
基金项目: 国家自然科学基金(11362012);国家自然科学基金青年科学基金(11202092;11301259)
详细信息
    作者简介:

    张永利(1990—),男,硕士生(E-mail: 1260815941@qq.com);杨联贵(1961—),男,教授,博士生导师(通讯作者. E-mail: lgyang@imu.edu.cn).

  • 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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