A multi-moment transport model on cubed-sphere grid

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	A multi-moment transport model on cubed-sphere grid
	Chen CG(陈春刚); Xiao F(肖锋); Li XL; Yang Y(杨焱)
刊名	International Journal for Numerical Methods in Fluids
	2011
卷号	67 期号:12 页码:1993-2014
关键词	semi-Lagrangian scheme finite volume method transport process global model spherical geometry cubed-sphere grid
ISSN号	0271-2091
合作状况	国际
英文摘要	A conservative, single-cell-based semi-Lagrangian transport model is proposed in this paper. Using multi-moment concept, an additional moment, i.e. volume-integrated average (VIA), is treated as the model variable besides the point value (PV) updated in the traditional semi-Lagrangian schemes. A quadratic interpolation function is constructed based on local degrees of freedom defined within each single cell. The PV moment is advanced by the semi-Lagrangian formulation, whereas the VIA moment is updated by a finite volume formulation to rigorously ensure the numerical conservation. The numerical fluxes are computed from the PV moments defined along the boundary edges of the control volume. The scheme is extended to the spherical geometry through the application of the cubed-sphere grid that eliminates the polar singularity in the conventional longitude/latitude coordinates by using the quasi-uniform grid spacing covering the whole sphere. The single-cell-based scheme is well suited for the treatment of the connections between different patches. A simple quasi-monotone limiter to the PV moment is applied to suppress non-physical oscillations. The proposed scheme has been validated via representative benchmark tests and the performance is competitive to other existing transport schemes.
分类号	Q3
类目[WOS]	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
研究领域[WOS]	Computer Science ; Mathematics ; Mechanics ; Physics
关键词[WOS]	SEMI-LAGRANGIAN ADVECTION ; SHALLOW-WATER MODEL ; BAROTROPIC VORTICITY EQUATION ; FINITE-VOLUME METHOD ; INCOMPRESSIBLE FLOWS ; HYPERBOLIC-EQUATIONS ; UNIFIED FORMULATION ; SCHEME ; INTERPOLATION ; INTEGRATION
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000297736100013
公开日期	2012-09-20
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/45654]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	Chen CG,Xiao F,Li XL,et al. A multi-moment transport model on cubed-sphere grid[J]. International Journal for Numerical Methods in Fluids,2011,67(12):1993-2014.
APA	Chen CG,Xiao F,Li XL,&Yang Y.(2011).A multi-moment transport model on cubed-sphere grid.International Journal for Numerical Methods in Fluids,67(12),1993-2014.
MLA	Chen CG,et al."A multi-moment transport model on cubed-sphere grid".International Journal for Numerical Methods in Fluids 67.12(2011):1993-2014.