| Constructions and Applied Examinations of a Kind of Square-Conservative Schemes in High Precision in the Time Direction |
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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，Beijing 100080，LASG，Institute of Atmospheric Physics，Chinese Academy of Sciences，Beijing 100080 |
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| 摘 要： | In order to meet the needs of work in numerical weather forecast and in numerical simulations for climate change and ocean current, a kind of difference scheme in high precision in the time direction developed from the completely square-conservative difference scheme in explicit way is built by means of the Taylor expansion. A numerical test with 4-wave Rossby-Haurwitz waves on them and an application of them on the monthly mean current the of South China Sea are carried out, from which, it is found that not only do the new schemes have high harmony and approximate precision but also can the time step of the schemes be lengthened and can much computational time be saved. Therefore, they are worth generalizing and applying.
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| 收稿时间： | 11 September 1992 |
Constructions and applied examinations of a kind of square-conservative schemes in high precision in the time direction |
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| Ji Zhongzhen,Wang Bin.Constructions and Applied Examinations of a Kind of Square-Conservative Schemes in High Precision in the Time Direction[J].Advances in Atmospheric Sciences,1993,10(3):315-324. |
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| Authors: | Ji Zhongzhen Wang Bin |
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| Institution: | LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080 |
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| Abstract: | In order to meet the needs of work in numerical weather forecast and in numerical simulations for climate change and ocean current, a kind of difference scheme in high precision in the time direction developed from the completely square-conservative difference scheme in explicit way is built by means of the Taylor expansion. A numerical test with 4-wave Rossby-Haurwitz waves on them and an application of them on the monthly mean current the of South China Sea are carried out, from which, it is found that not only do the new schemes have high harmony and approximate precision but also can the time step of the schemes be lengthened and can much computational time be saved. Therefore, they are worth generalizing and applying. |
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| Keywords: | Completely square-conservative Explicit scheme High precision in the time direction Harmonious dissipative operator |
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