| 总能量守恒与辛几何算法 |
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| 作者姓名： | Ji Zhongzhen Wang Bin Zhao Ying Yang Hongwei |
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| 作者单位： | Ji Zhongzhen Wang Bin Zhao Yingand Yang HongweiLASG，Institute of Atmospheric Physics，Chinese Academy of Sciences，Beijing 100029 |
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| 基金项目： | This project is supported by the National Key Planning Development Project for Basic tesearch(GrantNo．1999032801),the National Outstanding Youth Scientist Foundation of China(Grant No．49835109)and the Na-tional Natural Science Foundation of China(Grant |
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| 摘 要： | 以正压大气原始方程为例子，以总能量守恒为主线，介绍动力保守系统的两类重要算法：总能量守恒算法和辛几何算法，讨论了两之间的关系。中给出具体的算例，并说明两类算法的有效性。
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| 关 键 词： | 辛几何算法 大气海洋方程 保守系统 总能量守恒 Hamilton系统 正压大气方程 |
| 收稿时间： | 18 September 2001 |
Total energy conservation and the symplectic algorithm |
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| Ji Zhongzhen,Wang Bin,Zhao Ying,Yang Hongwei.Total energy conservation and the symplectic algorithm[J].Advances in Atmospheric Sciences,2002,19(3):459-467. |
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| Authors: | Ji Zhongzhen Wang Bin Zhao Ying Yang Hongwei |
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| Institution: | LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 |
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| Abstract: | Based on the principle of total energy conservation, we give two important algorithms, the total energy conservation algorithm and the symplectic algorithm, which are established for the spherical shallow water equations. Also, the relation between the two algorithms is analyzed and numerical tests show the efficiency of the algorithms. |
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| Keywords: | Atmospheric and oceanic equations Conservative system Symplectic scheme Total energy conservation Hamiltonian system |
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