| 再论发展方程差分格式的构造和应用 |
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| 引用本文： | 季仲贞,王斌.再论发展方程差分格式的构造和应用[J].大气科学,1991,15(2):1-10. |
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| 作者姓名： | 季仲贞 王斌 |
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| 作者单位： | LASG中国科学院大气物理研究所
(季仲贞),LASG中国科学院大气物理研究所(王斌) |
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| 摘 要： | 【摘 要】本文把一大类大气、海洋方程归结为一种发展方程,具体构造了若干定时间步长的显式完全平方守恒差分格式。并证明在一定条件下,这类格式也具有能量守恒、“广义能量”守恒和“平均尺度”守恒的特性,它表明这类格式具有较好的计算稳定性和省时性。文中还探讨了显式平方守恒格式与隐式平方守恒格式之间的密切联系。最后给出了令人满意的用四波的R-H波作数值检验的结果。
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| 关 键 词： | 发展方程 完全平方守恒 完全能量守恒 平均尺度守恒 显式差分格式 |
Further discussion on the construction and application of difference scheme of evolution equations |
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| Ji Zhongzhen and Wang Bin.Further discussion on the construction and application of difference scheme of evolution equations[J].Chinese Journal of Atmospheric Sciences,1991,15(2):1-10. |
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| Authors: | Ji Zhongzhen and Wang Bin |
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| Abstract: | In this paper a larger class of atmospheric and oceanic equations is reduced to a kind of evolution equation , and some constant time- step difference schemes, which are explicit and complete square conservative , are constructed . It is proved that the schemes have characteristics of energy conservation , " generalized energy conservation" and " mean scale conservation " in some conditions. It shows that these schemes have better computational stabilities and time- saving properties. The close relation between the explicit and the implicit complete square conservative difference schemes is compared. In the end , some numerical tests have been done by using Rossby-Haurwitz wave with 4 waves and the results are satisfactory. |
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| Keywords: | Evolution equation Tomplete square conservation Tomplete energy conservation Mean scale conservation Explicit difference scheme |
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