地形效应下正压准地转模式的能量守恒

张永利; 杨联贵

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

内蒙古大学数学科学学院, 呼和浩特 010021

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
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- 文章访问数: 1285
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- PDF下载量: 589
- 被引次数: 0
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

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

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)

摘要

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.
- 正压准地转模式 /
- 尺度分析 /
- 小参数展开 /
- 能量守恒
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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参考文献(18)

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地形效应下正压准地转模式的能量守恒

doi: 10.21656/1000-0887.370075

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).

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

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目录

留言板

地形效应下正压准地转模式的能量守恒

doi: 10.21656/1000-0887.370075

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).

计量

出版历程

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

计量

出版历程

目录

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).