| Some Splitting Methods for Equations of Geophysical Fluid Dynamics |
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| 作者姓名： | Ji Zhongzhen Wang Bin |
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| 作者单位： | LASG，Institute of Atmospheric Physics，Chinese Academy of Sciences，LASG，Institute of Atmospheric Physics，Chinese Academy of Sciences |
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| 基金项目： | Partly supported by the State Major Key Project for Researches and Project 85-906-04. |
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| 摘 要： | In this paper, equations of atmospheric and oceanic dynamics are reduced to a kind of evolutionary equation in operator form, based on which a conclusion that the separability of motion stages is relative is made and an issue that the tractional splitting methods established on the physical separability of the fast stage and the slow stage neglect the interaction between the two stages to some extent is shown. Also, three splitting patterns are summed up from the splitting methods in common use so that a comparison between them is carried out. The comparison shows that only the improved splitting pattern (ISP) can be in second order and keep the interaction well. Finally, the applications of some splitting methods on numerical simulations of typhoon tracks made clear that ISP owns the best effect and can save more than 80% CPU time.
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| 收稿时间： | 11 May 1994 |
Some splitting methods for equations of geophysical fluid dynamics |
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| Ji Zhongzhen,Wang Bin.Some Splitting Methods for Equations of Geophysical Fluid Dynamics[J].Advances in Atmospheric Sciences,1995,12(1):109-113. |
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| Authors: | Ji Zhongzhen Wang Bin |
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| Institution: | LASG,InstituteofAtmosphericPhysics,ChineseAcademyofSciences,LASG,InstituteofAtmosphericPhysics,ChineseAcademyofSciences |
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| Abstract: | In this paper, equations of atmospheric and oceanic dynamics are reduced to a kind of evolutionary equation in operator form, based on which a conclusion that the separability of motion stages is relative is made and an issue that the tractional splitting methods established on the physical separability of the fast stage and the slow stage neglect the interaction between the two stages to some extent is shown. Also, three splitting patterns are summed up from the splitting methods in common use so that a comparison between them is carried out. The comparison shows that only the improved splitting pattern (ISP) can be in second order and keep the interaction well. Finally, the applications of some splitting methods on numerical simulations of typhoon tracks made clear that ISP owns the best effect and can save more than 80% CPU time. |
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| Keywords: | Evolution equation Splitting method Fast and slow stages |
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