Shallow Water Model On Cubed-Sphere By Multi-Moment Finite Volume Method
文献类型：期刊论文
| 作者 | Chen CG(陈春刚) ; Xiao F(肖锋)
|
| 刊名 | Journal of Computational Physics
 |
| 出版日期 | 2008 |
| 页码 | 5019-5044 |
| 通讯作者邮箱 | xiao@imech.ac.cn |
| 关键词 | Finite Volume Method Cubed-Sphere Grid Shallow Water Equations Spherical Geometry Global Model High-Order Scheme Geophysical Flows Semi-Lagrangian Advection Barotropic Vorticity Equation Discontinuous Galerkin Incompressible Flows Unified Formulation Conservation-Laws Test Set Integration Scheme Transport |
| ISSN号 | 0021-9991 |
| 通讯作者 | Xiao, F (reprint author), Chinese Acad Sci, DES LHD, Inst Mech, 15 Beisihuanxi Rd, Beijing 100080, Peoples R China. |
| 中文摘要 | A global numerical model for shallow water flows on the cubed-sphere grid is proposed in this paper. The model is constructed by using the constrained interpolation profile/multi-moment finite volume method (CIP/MM FVM). Two kinds of moments, i.e. the point value (PV) and the volume-integrated average (VIA) are defined and independently updated in the present model by different numerical formulations. The Lax-Friedrichs upwind splitting is used to update the PV moment in terms of a derivative Riemann problem, and a finite volume formulation derived by integrating the governing equations over each mesh element is used to predict the VIA moment. The cubed-sphere grid is applied to get around the polar singularity and to obtain uniform grid spacing for a spherical geometry. Highly localized reconstruction in CIP/MM FVM is well suited for the cubed-sphere grid, especially in dealing with the discontinuity in the coordinates between different patches. The mass conservation is completely achieved over the whole globe. The numerical model has been verified by Williamson's standard test set for shallow water equation model on sphere. The results reveal that the present model is competitive to most existing ones. (C) 2008 Elsevier Inc. All rights reserved. |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| 研究领域[WOS] | Computer Science ; Physics |
| 关键词[WOS] | SEMI-LAGRANGIAN ADVECTION ; BAROTROPIC VORTICITY EQUATION ; DISCONTINUOUS GALERKIN ; INCOMPRESSIBLE FLOWS ; UNIFIED FORMULATION ; CONSERVATION-LAWS ; TEST SET ; INTEGRATION ; SCHEME ; TRANSPORT |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000255447000012 |
| 公开日期 | 2009-08-03 ; 2009-09-14 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/26060]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Chen CG,Xiao F. Shallow Water Model On Cubed-Sphere By Multi-Moment Finite Volume Method[J]. Journal of Computational Physics,2008:5019-5044. |
| APA | 陈春刚,&肖锋.(2008).Shallow Water Model On Cubed-Sphere By Multi-Moment Finite Volume Method.Journal of Computational Physics,5019-5044. |
| MLA | 陈春刚,et al."Shallow Water Model On Cubed-Sphere By Multi-Moment Finite Volume Method".Journal of Computational Physics (2008):5019-5044. |
入库方式： OAI收割
来源：力学研究所
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