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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 | |
| Source | Journal of Computational and Applied Mathematics
 |
| ISSN | 3770427 |
| Volume | 235Issue:18Pages:5357-5366 |
| 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. |
| Indexed Type | ei |
| Keyword | Equations Of Motion Finite Volume Method Supercomputers Topography |
| 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 |
| Language | 英语 |
| WOS ID | WOS:000294238700004 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/14085 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| A parallel well-bala（712KB） | 开放获取 | -- | Application Full Text | |||
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