| A new method for constructing total energy conservation algorithms |
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| 引用本文： | ZHAO Ying,JI Zhongzhen,YANG Hongwei,WANG Bin. A new method for constructing total energy conservation algorithms[J]. 自然科学进展(英文版), 2003, 13(1): 59-62 |
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| 作者姓名： | ZHAO Ying JI Zhongzhen YANG Hongwei WANG Bin |
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| 作者单位： | LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China;Institute of Science, PLA University of Science and Technology, Nanjing 211101, China,LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China,LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China,LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China |
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| 基金项目： | Supported by the Major State Basic Research Development Program of China (Grant No. G1999032801), the Chinese Academy of Sciences Key Innovation Direction Project (Grant No. KZCX2208) and the National Natural Science Foundation of China (Grant No.49975020), the National Science Fond for Distinguished Young Scholars (Grant No. 49825109) |
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| 摘 要： | Based on a basic rule for the research on numerical methods which requires that the properties of the original problem should be preserved as much as possible under discretization, a new method for constructing total energy conservation algorithms is presented. By this method, all kinds of implicit schemes with energy conservation laws including many classical conservation schemes can be constructed from a kind of special function. Also, the concrete criterion for judging total energy conservation schemes is given. Numerical tests show that these new schemes are effective.
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| 关 键 词： | total energy conservation difference scheme quasi-antisymmetric operator norm-preserving operator |
A new method for constructing total energy conservation algorithms |
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| ZHAO Ying,JI Zhongzhen,Yang Hongwei,WANG Bin. A new method for constructing total energy conservation algorithms[J]. Progress in Natural Science, 2003, 13(1): 59-62 |
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| Authors: | ZHAO Ying JI Zhongzhen Yang Hongwei WANG Bin |
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| Affiliation: | 1. LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China;Institute of Science, PLA University of Science and Technology, Nanjing 211101, China
2. LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China |
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| Abstract: | Based on a basic rule for the research on numerical methods which requires that the properties of the original problem should be preserved as much as possible under discretization, a new method for constructing total energy conservation algorithms is presented. By this method, all kinds of implicit schemes with energy conservation laws including many classical conservation schemes can be constructed from a kind of special function. Also, the concrete criterion for judging total energy conservation schemes is given. Numerical tests show that these new schemes are effective. |
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| Keywords: | total energy conservation difference scheme quasi-antisymmetric operator norm-preserving operator |
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