收稿日期: 2009-03-06
修回日期: 2009-09-09
网络出版日期: 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
Received date: 2009-03-06
Revised date: 2009-09-09
Online published: 2010-01-15
史湘军 , 王斌 , 季仲贞 . 解决格点大气环流模式极点问题的一种方法[J]. 中国科学院大学学报, 2010 , 27(1) : 127 -132 . DOI: 10.7523/j.issn.2095-6134.2010.1.016
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
[1] 廖洞贤.大气数值模式的设计
[M].北京:气象出版社,1999:55- 69.
[2] 雷兆崇,章基嘉.数值模式中的谱方法
[M].北京:气象出版社,1989:76-128.
[3] 董 敏,耿全震,梁益国,等.气候模式的基本原理和技术方法
[M].北京:气象出版社,1997:42- 65.
[4] William D,et al.Description of the NCAR community atmosphere model (CAM 3.0) //NCAR Tech Note,NCAR/TN- 464+STR. National Center For Atmospheric Research, Boulder, Colorado, USA,2004:229.
[5] McDonald A.A semi-Lagrangian and semi-implicit two time-level integration scheme
[J]. Mon Wea Rew, 1986,114:824-830.
[6] Li X L,Xiao F,Chen C G,et al.Conservative schemes on Yin-Yang spherical grid
[J]. Mechanical Engineering Congress, Japan(MECJ-06),2006, 1:87- 88.
[7] Zhang X H.Dynamical framework of IAP nine-levels atmospheric general circulation model
[J].Advances in Atmospheric Sciences,1990,7(1): 67-77.
[8] Wang B,Wan H,Ji Z Z,et al.Design of a new dynamical core for global atmospheric models based on some eficient numerical methods
[J]. Science in China Ser A, 2004(47):4-21.
[9] 王 斌,季仲贞.大气科学中的数值新方法及其应用
[M].北京:科学出版社,2006:44-50.
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