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Evaluation of the applicability of a retrospective scheme based on comparison with several difference schemes
Authors:Feng Guo-Lin and Dong Wen-Jie
Affiliation:Mathematics and Physics College, Yangzhou University, Yangzhou 225009, China; Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; National Climate Centre of China, Beijing 100080, China
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.
Keywords:short-term climate prediction   difference scheme   advection equation   retrospective multi-time-level scheme
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