a parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere

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	a parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere
	Yang Chao; Cai Xiao-Chuan
	2011
发表期刊	Journal of Computational and Applied Mathematics
ISSN	3770427
卷号	235 期号:18 页码:5357-5366
摘要	A finite volume scheme for the global shallow water model on the cubed-sphere mesh is proposed and studied in this paper. The new cell-centered scheme is based on Osher's Riemann solver together with a high-order spatial reconstruction. On each patch interface of the cubed-sphere only one layer of ghost cells is needed in the scheme and the numerical flux is calculated symmetrically across the interface to ensure the numerical conservation of total mass. The discretization of the topographic term in the equation is properly modified in a well-balanced manner to suppress spurious oscillations when the bottom topography is non-smooth. Numerical results for several test cases including a steady-state nonlinear geostrophic flow and a zonal flow over an isolated mountain are provided to show the flexibility of the scheme. Some parallel implementation details as well as some performance results on a parallel supercomputer with more than one thousand processor cores are also provided. © 2011 Elsevier B.V. All rights reserved.
收录类别	ei
关键词	Equations Of Motion Finite Volume Method Supercomputers Topography
部门归属	(1) Institute of Software, Chinese Academy of Sciences, Beijing 100190, China; (2) Department of Computer Science, University of Colorado at Boulder, Boulder, CO 80309, United States
语种	英语
WOS记录号	WOS:000294238700004
引用统计
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/14085
专题	中国科学院软件研究所
推荐引用方式 GB/T 7714	Yang Chao,Cai Xiao-Chuan. a parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere[J]. Journal of Computational and Applied Mathematics,2011,235(18):5357-5366.
APA	Yang Chao,&Cai Xiao-Chuan.(2011).a parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere.Journal of Computational and Applied Mathematics,235(18),5357-5366.
MLA	Yang Chao,et al."a parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere".Journal of Computational and Applied Mathematics 235.18(2011):5357-5366.

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