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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)
Source PublicationInternational Journal for Numerical Methods in Fluids
2011
Volume67Issue:12Pages:1993-2014
ISSN0271-2091
AbstractA 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.
KeywordSemi-lagrangian Scheme Finite Volume Method Transport Process Global Model Spherical Geometry Cubed-sphere Grid
DOI10.1002/fld.2478
Indexed BySCI ; EI
Language英语
WOS IDWOS:000297736100013
WOS KeywordSEMI-LAGRANGIAN ADVECTION ; SHALLOW-WATER MODEL ; BAROTROPIC VORTICITY EQUATION ; FINITE-VOLUME METHOD ; INCOMPRESSIBLE FLOWS ; HYPERBOLIC-EQUATIONS ; UNIFIED FORMULATION ; SCHEME ; INTERPOLATION ; INTEGRATION
WOS Research AreaComputer Science ; Mathematics ; Mechanics ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
DepartmentLHD气动布局优化与计算方法
ClassificationQ3
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45654
Collection高温气体动力学国家重点实验室
Recommended Citation
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.
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