Title: a parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere
Author: Yang Chao
; Cai Xiao-Chuan
Keyword: Equations of motion
; Finite volume method
; Supercomputers
; Topography
Source: Journal of Computational and Applied Mathematics
Issued Date: 2011
Volume: 235, Issue: 18, Pages: 5357-5366 Indexed Type: ei
Department: (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
English Abstract: 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. Language: 英语
WOS ID: WOS:000294238700004
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Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/14085
Appears in Collections: 软件所图书馆_期刊论文
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Recommended Citation:
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,2011-01-01,235(18):5357-5366.
