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Constructions and Applied Examinations of a Kind of Square-Conservative Schemes in High Precision in the Time Direction


doi: 10.1007/BF02658137

  • 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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    [2] Pengfei WANG, 2017: A High-Order Spatiotemporal Precision-Matching Taylor-Li Scheme for Time-Dependent Problems, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 1461-1471.  doi: 10.1007/s00376-017-7018-1
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    [10] Yangang LIU, Man-Kong YAU, Shin-ichiro SHIMA, Chunsong LU, Sisi CHEN, 2023: Parameterization and Explicit Modeling of Cloud Microphysics: Approaches, Challenges, and Future Directions, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 747-790.  doi: 10.1007/s00376-022-2077-3
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Manuscript History

Manuscript received: 10 July 1993
Manuscript revised: 10 July 1993
通讯作者: 陈斌, bchen63@163.com
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Constructions and Applied Examinations of a Kind of Square-Conservative Schemes in High Precision in the Time Direction

  • 1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100080

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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