中国物理B ›› 2003, Vol. 12 ›› Issue (10): 1076-1086.doi: 10.1088/1009-1963/12/10/307

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Evaluation of the applicability of a retrospective scheme based on comparison with several difference schemes

封国林1, 董文杰2   

  1. (1)Mathematics and Physics College, Yangzhou University, Yangzhou 225009, China; Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; (2)National Climate Centre of China, Beijing 100080, China
  • 收稿日期:2002-09-29 修回日期:2003-05-08 出版日期:2003-10-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 40275031 and 40231006), the State Key Development Program for Basic Research (Grant No G1999043408) and the K. C. Wong Education Foundation, Hong Kong.

Evaluation of the applicability of a retrospective scheme based on comparison with several difference schemes

Feng Guo-Lin (封国林)ab, Dong Wen-Jie (董文杰)c   

  1. a Mathematics and Physics College, Yangzhou University, Yangzhou 225009, China; b Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; c National Climate Centre of China, Beijing 100080, China
  • Received:2002-09-29 Revised:2003-05-08 Online:2003-10-16 Published:2005-03-16
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 40275031 and 40231006), the State Key Development Program for Basic Research (Grant No G1999043408) and the K. C. Wong Education Foundation, Hong Kong.

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摘要： The evaluation of the applicability of a retrospective multi-time-level scheme (RT scheme) is carried out on the basis of comparison with the common leapfrog scheme (LF scheme) and its derivatives, and modified BOTT's positive-definite schemes used in atmospheric models. Two rational flow field tests confirm that at least the BOTT scheme tested may be applied, but apparently the best results are obtained by the RT scheme. The results of wavelet analysis show that the RT scheme can better extract the useful information from the initial fields, i.e. to memorize many main initial characteristics, such as periods, thus offering a new approach to the short-term climate numerical prediction.

Abstract: The evaluation of the applicability of a retrospective multi-time-level scheme (RT scheme) is carried out on the basis of comparison with the common leapfrog scheme (LF scheme) and its derivatives, and modified BOTT's positive-definite schemes used in atmospheric models. Two rational flow field tests confirm that at least the BOTT scheme tested may be applied, but apparently the best results are obtained by the RT scheme. The results of wavelet analysis show that the RT scheme can better extract the useful information from the initial fields, i.e. to memorize many main initial characteristics, such as periods, thus offering a new approach to the short-term climate numerical prediction.

Key words: short-term climate prediction, difference scheme, advection equation, retrospective multi-time-level scheme

中图分类号:  (Climatology, climate change and variability)

  • 92.60.Ry
92.60.Wc (Weather analysis and prediction) 47.32.-y (Vortex dynamics; rotating fluids) 02.60.-x (Numerical approximation and analysis)