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垂直网格计算频散性的研究
COMPUTATIONAL DISPERSION PROPERTIES OF VERTICALLY STAGGERED GRIDS
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摘要: 在线性斜压原始方程组的基础上, 从频率和群速方面讨论了几种垂直跳点网格和时间—垂直跳点网格的计算频散性, 并指出了出现错误群速的垂直尺度范围。以便为原始方程大气模式选取垂直网格提供指导。Abstract: Based on a linear baroclinic primitive equation system, the computational dispersion properties of vertical and time-vertical staggered grids are analyzed in terms of frequency and group velocity characteristics, and the vertical scale ranges of group velocities with wrong sign are pointed out. It may provide guidance for an optimal choice of an appropriate vertical grid for a primitive equation atmospheric model.
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Key words:
- Vertically grid;
- Frequency;
- Group velocity;
- Scale range
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表 1 各种垂直网格出现正群速和负群速的垂直尺度范围
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[1] 刘宇迪, 桂祁军, 李昕东, 等.水平网格计算频散性的研究, 应用气象学报, 2001, 12(2): 140~149. http://qikan.camscma.cn/jams/ch/reader/view_abstract.aspx?file_no=20010220&flag=1 [2] Fox-rabinovitz M S.Computational dispersion properties of vertical grids for atmospheric models. Proc. 13th World Congress on Computational and Applied Mathematics, Dublin, Irelands, International Association for Mathematics and Computers in Simulution, 1991. 579~580. [3] Charney J C, Phillips N A. Numerical integration of the quasigeostrophic equation for barotropic and simple baroclinic flows. J.Meteor., 1953, 10: 17~29. doi: 10.1175/1520-0469(1953)010<0017:AAOAVC>2.0.CO;2 [4] Lorenz E N.Energy and numerical weather prediction. Tellus, 1960, 12: 364~373. http://www.tandfonline.com/toc/zela20/current -
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