IMECH-IR  > 高温气体动力学国家重点实验室
A global shallow water model using high order multi-moment constrained finite volume method and icosahedral grid
Ii S; Xiao F(肖锋); Xiao F
Source PublicationJournal of Computational Physics
2010
Volume229Issue:5Pages:1774-1796
ISSN0021-9991
AbstractA novel accurate numerical model for shallow water equations on sphere have been developed by implementing the high order multi-moment constrained finite volume (MCV) method on the icosahedral geodesic grid. High order reconstructions are conducted cell-wisely by making use of the point values as the unknowns distributed within each triangular cell element. The time evolution equations to update the unknowns are derived from a set of constrained conditions for two types of moments, i.e. the point values on the cell boundary edges and the cell-integrated average. The numerical conservation is rigorously guaranteed. in the present model, all unknowns or computational variables are point values and no numerical quadrature is involved, which particularly benefits the computational accuracy and efficiency in handling the spherical geometry, such as coordinate transformation and curved surface. Numerical formulations of third and fourth order accuracy are presented in detail. The proposed numerical model has been validated by widely used benchmark tests and competitive results are obtained. The present numerical framework provides a promising and practical base for further development of atmospheric and oceanic general circulation models. (C) 2009 Elsevier Inc. All rights reserved.
DOI10.1016/j.jcp.2009.11.008
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000274309700021
WOS KeywordDISCONTINUOUS GALERKIN METHOD ; BAROTROPIC VORTICITY EQUATION ; SPHERICAL GEODESIC GRIDS ; CONSERVATION-LAWS ; ELEMENT METHOD ; CUBED-SPHERE ; NUMERICAL SIMULATIONS ; INCOMPRESSIBLE FLOWS ; HYPERBOLIC-EQUATIONS ; UNIFIED FORMULATION
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
Citation statistics
Cited Times:36[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/43571
Collection高温气体动力学国家重点实验室
Corresponding AuthorXiao F
Recommended Citation
GB/T 7714
Ii S,Xiao F,Xiao F. A global shallow water model using high order multi-moment constrained finite volume method and icosahedral grid[J]. Journal of Computational Physics,2010,229(5):1774-1796.
APA Ii S,肖锋,&Xiao F.(2010).A global shallow water model using high order multi-moment constrained finite volume method and icosahedral grid.Journal of Computational Physics,229(5),1774-1796.
MLA Ii S,et al."A global shallow water model using high order multi-moment constrained finite volume method and icosahedral grid".Journal of Computational Physics 229.5(2010):1774-1796.
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