Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model

doi:10.1155/2013/478054

IOCAS-IR > 海洋环流与波动重点实验室

	Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model
	Zou, Guang-an1,2 ; Wang, Bo 3; Wu, Mu 1; Wu, M
	2013
发表期刊	JOURNAL OF APPLIED MATHEMATICS
ISSN	1110-757X
页码	478054
文章类型	Article
摘要	A 1.5-layer reduced-gravity shallow-water ocean model in spherical coordinates is described and discretized in a staggered grid (standard Arakawa C-grid) with the forward-time central-space (FTCS) method and the Leap-frog finite difference scheme. The discrete Fourier analysis method combined with the Gershgorin circle theorem is used to study the stability of these two finite difference numerical models. A series of necessary conditions of selection criteria for the time-space step sizes and model parameters are obtained. It is showed that these stability conditions are more accurate than the Courant-Friedrichs-Lewy (CFL) condition and other two criterions (Blumberg and Mellor, 1987; Casulli, 1990, 1992). Numerical experiments are proposed to test our stability results, and numerical model that is designed is also used to simulate the ocean current.; A 1.5-layer reduced-gravity shallow-water ocean model in spherical coordinates is described and discretized in a staggered grid (standard Arakawa C-grid) with the forward-time central-space (FTCS) method and the Leap-frog finite difference scheme. The discrete Fourier analysis method combined with the Gershgorin circle theorem is used to study the stability of these two finite difference numerical models. A series of necessary conditions of selection criteria for the time-space step sizes and model parameters are obtained. It is showed that these stability conditions are more accurate than the Courant-Friedrichs-Lewy (CFL) condition and other two criterions (Blumberg and Mellor, 1987; Casulli, 1990, 1992). Numerical experiments are proposed to test our stability results, and numerical model that is designed is also used to simulate the ocean current.
学科领域	Mathematics
DOI	10.1155/2013/478054
URL	查看原文
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000327119800001
WOS关键词	LOW-FREQUENCY VARIABILITY ; FINITE-DIFFERENCE SCHEMES ; WIND-DRIVEN ; MULTIPLE EQUILIBRIA ; KUROSHIO EXTENSION ; GULF-STREAM ; EQUATIONS ; OSCILLATIONS ; PREDICTABILITY ; CIRCULATION
WOS标题词	Science & Technology ; Physical Sciences
引用统计	被引频次：1[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/337002/16437
专题	海洋环流与波动重点实验室
通讯作者	Wu, M
作者单位	1.Chinese Acad Sci, Inst Oceanol, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Henan Univ, Inst Appl Math, Kaifeng 475004, 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	Zou, Guang-an,Wang, Bo,Wu, Mu,et al. Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model[J]. JOURNAL OF APPLIED MATHEMATICS,2013:478054.
APA	Zou, Guang-an,Wang, Bo,Wu, Mu,&Wu, M.(2013).Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model.JOURNAL OF APPLIED MATHEMATICS,478054.
MLA	Zou, Guang-an,et al."Stability Analysis of Numerical Methods for a 1.5-Layer Shallow-Water Ocean Model".JOURNAL OF APPLIED MATHEMATICS (2013):478054.

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