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Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations
Shah, Abdullah1,2; Yuan, Li1
2009-10-20
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISSN0271-2091
Volume61Issue:5Pages:552-568
AbstractThird-order and fifth-order upwind compact finite difference schemes based on flux-difference splitting are proposed for solving the incompressible Navier-Stokes equations in conjunction with the artificial compressibility (AC) method. Since the governing equations in the AC method are hyperbolic, flux-difference splitting (FDS) originally developed for the compressible Euler equations can be used. In the present upwind compact schemes, the split derivatives for the convective terms at grid points are linked to the differences of split fluxes between neighboring grid points, and these differences are computed by using FDS. The viscous terms are approximated with a sixth-order central compact scheme. Comparisons with 2D benchmark solutions demonstrate that the present compact schemes are simple, efficient, and high-order accurate. Copyright (C) 2008 John Wiley & Sons, Ltd.
Keywordupwind compact difference flux-difference splitting incompressible Navier-Stokes equation artificial compressibility backward facing step lid-driven cavity flow
DOI10.1002/fld.1965
Language英语
Funding ProjectNatural Science Foundation of China[G10531080] ; Natural Science Foundation of China[G10729101] ; State Key Program for Developing Basic Sciences[2005CB321703] ; COMSAT Institute of Information Technology Islamabad, Pakistan
WOS Research AreaComputer Science ; Mathematics ; Mechanics ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS IDWOS:000270840300005
PublisherWILEY-BLACKWELL
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/7642
Collection计算数学与科学工程计算研究所
Corresponding AuthorYuan, Li
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
2.COMSAT Inst Informat Technol, Dept Math, Islamabad, Pakistan
Recommended Citation
GB/T 7714
Shah, Abdullah,Yuan, Li. Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2009,61(5):552-568.
APA Shah, Abdullah,&Yuan, Li.(2009).Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,61(5),552-568.
MLA Shah, Abdullah,et al."Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 61.5(2009):552-568.
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