Impact of difference accuracy on computational properties of vertical grids for a nonhydrostatic model

doi:10.1007/s10596-008-9081-2

IOCAS-IR > 海洋地质与环境重点实验室

	Impact of difference accuracy on computational properties of vertical grids for a nonhydrostatic model
	Liu, Yudi 1,2
	2008-06-01
发表期刊	COMPUTATIONAL GEOSCIENCES
ISSN	1420-0597
卷号	12 期号:2 页码:245-253
文章类型	Article
摘要	Starting from nonhydrostatic Boussinesq approximation equations, a general method is introduced to deduce the dispersion relationships. A comparative investigation is performed on inertia-gravity wave with horizontal lengths of 100, 10 and 1 km. These are examined using the second-order central difference scheme and the fourth-order compact difference scheme on vertical grids that are currently available from the perspectives of frequency, horizontal and vertical component of group velocity. These findings are compared to analytical solutions. The obtained results suggest that whether for the second-order central difference scheme or for the fourth-order compact difference scheme, Charny-Phillips and Lorenz ( L) grids are suitable for studying waves at the above-mentioned horizontal scales; the Lorenz time-staggered and Charny-Phillips time staggered (CPTS) grids are applicable only to the horizontal scales of less than 10 km, and N grid ( unstaggered grid) is unsuitable for simulating waves at any horizontal scale. Furthermore, by using fourth-order compact difference scheme with higher difference precision, the errors of frequency and group velocity in horizontal and vertical directions produced on all vertical grids in describing the waves with horizontal lengths of 1, 10 and 100 km cannot inevitably be decreased. So in developing a numerical model, the higher-order finite difference scheme, like fourth-order compact difference scheme, should be avoided as much as possible, typically on L and CPTS grids, since it will not only take many efforts to design program but also make the calculated group velocity in horizontal and vertical directions even worse in accuracy.; Starting from nonhydrostatic Boussinesq approximation equations, a general method is introduced to deduce the dispersion relationships. A comparative investigation is performed on inertia-gravity wave with horizontal lengths of 100, 10 and 1 km. These are examined using the second-order central difference scheme and the fourth-order compact difference scheme on vertical grids that are currently available from the perspectives of frequency, horizontal and vertical component of group velocity. These findings are compared to analytical solutions. The obtained results suggest that whether for the second-order central difference scheme or for the fourth-order compact difference scheme, Charny-Phillips and Lorenz ( L) grids are suitable for studying waves at the above-mentioned horizontal scales; the Lorenz time-staggered and Charny-Phillips time staggered (CPTS) grids are applicable only to the horizontal scales of less than 10 km, and N grid ( unstaggered grid) is unsuitable for simulating waves at any horizontal scale. Furthermore, by using fourth-order compact difference scheme with higher difference precision, the errors of frequency and group velocity in horizontal and vertical directions produced on all vertical grids in describing the waves with horizontal lengths of 1, 10 and 100 km cannot inevitably be decreased. So in developing a numerical model, the higher-order finite difference scheme, like fourth-order compact difference scheme, should be avoided as much as possible, typically on L and CPTS grids, since it will not only take many efforts to design program but also make the calculated group velocity in horizontal and vertical directions even worse in accuracy.
关键词	Vertical Grids Frequency Vertical Component Of Group Velocity Compact Difference Scheme
学科领域	Computer Science, Interdisciplinary Applications ; Geosciences, Multidisciplinary
DOI	10.1007/s10596-008-9081-2
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000257023500008
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/5044
专题	海洋地质与环境重点实验室
作者单位	1.PLA Univ Sci & Technol, Inst Meteorol, Nanjing 211101, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China
第一作者单位	中国科学院海洋研究所
推荐引用方式 GB/T 7714	Liu, Yudi. Impact of difference accuracy on computational properties of vertical grids for a nonhydrostatic model[J]. COMPUTATIONAL GEOSCIENCES,2008,12(2):245-253.
APA	Liu, Yudi.(2008).Impact of difference accuracy on computational properties of vertical grids for a nonhydrostatic model.COMPUTATIONAL GEOSCIENCES,12(2),245-253.
MLA	Liu, Yudi."Impact of difference accuracy on computational properties of vertical grids for a nonhydrostatic model".COMPUTATIONAL GEOSCIENCES 12.2(2008):245-253.

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