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Volume 15 Issue 4

Oct.  1998

Article Contents
Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 1998 >  15(4): 580-584

A High-Order Compact Scheme with Square-Conservativity

  • 1.

    LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029


doi: 10.1007/s00376-998-0034-4

  • In order to improve the accuracy of forecasts of atmospheric and oceanic phenomena which possess a wide range of space and time scales, it is crucial to design the high-order and stable schemes. On the basis of the explicit square-conservative scheme, a high-order compact explicit square-conservative scheme is proposed in this paper. This scheme not only keeps the square-conservative characteristics, but also is of high accuracy. The numerical ex-ample shows that this scheme has less computing errors and better computational stability, and it could be considered to be tested and used in many atmospheric and oceanic problems.
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    [2] Ji Zhongzhen, Wang Bin, 1993: Constructions and Applied Examinations of a Kind of Square-Conservative Schemes in High Precision in the Time Direction, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 315-324.  doi: 10.1007/BF02658137
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    • Manuscript History

    Manuscript received: 10 October 1998
    Manuscript revised: 10 October 1998
    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

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    A High-Order Compact Scheme with Square-Conservativity

    • 1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
    • Manuscript received: 1998-10-10
    • Manuscript revised: 1998-10-10

    Abstract: In order to improve the accuracy of forecasts of atmospheric and oceanic phenomena which possess a wide range of space and time scales, it is crucial to design the high-order and stable schemes. On the basis of the explicit square-conservative scheme, a high-order compact explicit square-conservative scheme is proposed in this paper. This scheme not only keeps the square-conservative characteristics, but also is of high accuracy. The numerical ex-ample shows that this scheme has less computing errors and better computational stability, and it could be considered to be tested and used in many atmospheric and oceanic problems.

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