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Title:
A multi-moment transport model on cubed-sphere grid
Author: Chen CG(陈春刚); Xiao F(肖锋); Xinliang Li(李新亮); Yang Y(杨焱)
Source: International Journal for Numerical Methods in Fluids
Issued Date: 2011
Volume: 67, Issue:12, Pages:1993-2014
English Abstract: 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.
Keyword: semi-Lagrangian scheme ; finite volume method ; transport process ; global model ; spherical geometry ; cubed-sphere grid
Language: 英语
Indexed Type: SCI ; EI
DOI: 10.1002/fld.2478
DOC Type: Article
WOS Subject: Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS Subject Extended: Computer Science ; Mathematics ; Mechanics ; Physics
WOS Keyword Plus: SEMI-LAGRANGIAN ADVECTION ; SHALLOW-WATER MODEL ; BAROTROPIC VORTICITY EQUATION ; FINITE-VOLUME METHOD ; INCOMPRESSIBLE FLOWS ; HYPERBOLIC-EQUATIONS ; UNIFIED FORMULATION ; SCHEME ; INTERPOLATION ; INTEGRATION
WOS ID: WOS:000297736100013
ISSN: 0271-2091
Department: LHD气动布局优化与计算方法
Classification: Q3
Citation statistics:
Content Type: 期刊论文
URI: http://dspace.imech.ac.cn/handle/311007/45654
Appears in Collections:高温气体动力学国家重点实验室_期刊论文

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Recommended Citation:
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,2011-01-01,67(12):1993-2014.
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