Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations

doi:10.1002/fld.1965

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations
	Shah, Abdullah 1,2; Yuan, Li1
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
	2009-10-20
卷号	61 期号:5 页码:552-568
关键词	upwind compact difference flux-difference splitting incompressible Navier-Stokes equation artificial compressibility backward facing step lid-driven cavity flow
ISSN号	0271-2091
DOI	10.1002/fld.1965
英文摘要	Third-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.
资助项目	Natural 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研究方向	Computer Science ; Mathematics ; Mechanics ; Physics
语种	英语
出版者	WILEY-BLACKWELL
WOS记录号	WOS:000270840300005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/7641]
专题	计算数学与科学工程计算研究所
通讯作者	Yuan, Li
作者单位	1.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
推荐引用方式 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.