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中国科学院大学学报 ›› 2010, Vol. 27 ›› Issue (1): 127-132.DOI: 10.7523/j.issn.2095-6134.2010.1.016

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解决格点大气环流模式极点问题的一种方法

史湘军, 王斌, 季仲贞   

  1. 中国科学院大气物理研究所LASG,北京 100029
  • 收稿日期:2009-03-06 修回日期:2009-09-09 发布日期:2010-01-15
  • 基金资助:

    国家"973"项目(200SCB321703)、中国科学院"十一五"信息化专项(INFO-115-B01)和中国科学院知识创新工程重要方向项目(KZCX2-YW-Q11-04)资助 

An approach to the solution of polar singularity problem in grid-point atmospheric model

SHI Xiang-Jun, WANG Bin, JI Zhong-Zhen   

  1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2009-03-06 Revised:2009-09-09 Published:2010-01-15

摘要:

以球面正压浅水方程显式能量守恒格式的设计为例,在不失动力学方程物理意义的情况下,给出南北极网格点上速度的表达式,以及其预报方程的差分格式.克服数学意义上的极点奇异问题,直接预报极点速度.数值试验表明,此方法简单易行,能合理描述极点速度及其变化.

关键词: 大气模式, 极点, 奇点

Abstract:

There are two singularities in atmospheric governing equations under spherical coordinate system, and hence, velocity at the north and south poles can not be defined and predicted directly by grid-point atmospheric model. To solve this problem, a simple approach is presented, and an explicit square conservation scheme in A-grid for shallow water model is chosen as an example. The new approach defines pole velocity and sets up a difference equation. The new model can predict pole velocity directly, and the numerical experiment shows that the results are reasonable.

Key words: atmospheric mode, pole, singularity

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