Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations

doi:10.1016/j.amc.2009.10.001

	Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations
	Shah, Abdullah 1,2; Yuan, Li1 ; Khan, Aftab 2
	2010
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	215 期号:9 页码:3201-3213
摘要	This article presents a time-accurate numerical method using high-order accurate compact finite difference scheme for the incompressible Navier-Stokes equations. The method relies on the artificial compressibility formulation, which endows the governing equations a hyperbolic-parabolic nature. The convective terms are discretized with a third-order upwind compact scheme based on flux-difference splitting, and the viscous terms are approximated with a fourth-order central compact scheme. Dual-time stepping is implemented for time-accurate calculation in conjunction with Beam-Warming approximate factorization scheme. The present compact scheme is compared with an established non-compact scheme via analysis in a model equation and numerical tests in four benchmark flow problems. Comparisons demonstrate that the present third-order upwind compact scheme is more accurate than the non-compact scheme while having the same computational cost as the latter. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Incompressible Navier-Stokes equation Artificial compressibility method Upwind compact finite difference Flux-difference splitting Dual-time stepping Kovasznay flow problem Oscillating plate Taylor's decaying vortices Doubly periodic shear layer
DOI	10.1016/j.amc.2009.10.001
语种	英语
资助项目	CIIT[IDB-1306] ; Natural Science Foundation of China[G10531080] ; Natural Science Foundation of China[G10729101] ; State Key Program for Developing Basic Sciences[2005CB321703]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000273230700006
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11219
专题	计算数学与科学工程计算研究所
通讯作者	Shah, Abdullah
作者单位	1.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
推荐引用方式 GB/T 7714	Shah, Abdullah,Yuan, Li,Khan, Aftab. Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,215(9):3201-3213.
APA	Shah, Abdullah,Yuan, Li,&Khan, Aftab.(2010).Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations.APPLIED MATHEMATICS AND COMPUTATION,215(9),3201-3213.
MLA	Shah, Abdullah,et al."Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations".APPLIED MATHEMATICS AND COMPUTATION 215.9(2010):3201-3213.