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

doi:10.1002/fld.1965

	Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations
	Shah, Abdullah 1,2; Yuan, Li1
	2009-10-20
发表期刊	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISSN	0271-2091
卷号	61 期号:5 页码:552-568
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.
关键词	upwind compact difference flux-difference splitting incompressible Navier-Stokes equation artificial compressibility backward facing step lid-driven cavity flow
DOI	10.1002/fld.1965
语种	英语
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
WOS类目	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000270840300005
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7642
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.