A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

	A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations
	Shah, Abdullah 1,2; Guo, Hong 1; Yuan, Li1
	2009-02-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	5 期号:2-4 页码:712-729
摘要	This paper presents a new version of the upwind compact finite difference scheme for solving the incompressible Navier-Stokes equations in generalized curvilinear coordinates. The artificial compressibility approach is used, which transforms the elliptic-parabolic equations into the hyperbolic-parabolic ones so that flux difference splitting can be applied. The convective terms are approximated by a third-order upwind compact scheme implemented with flux difference splitting, and the viscous terms are approximated by a fourth-order central compact scheme. The solution algorithm used is the Beam-Warming approximate factorization scheme. Numerical solutions to benchmark problems of the steady plane Couette-Poiseuille flow, the lid-driven cavity flow, and the constricting channel flow with varying geometry are presented. The computed results are found in good agreement with established analytical and numerical results. The third-order accuracy of the scheme is verified on uniform rectangular meshes.
关键词	Upwind compact difference flux difference splitting incompressible Navier-Stokes equations artificial compressibility lid-driven cavity flow
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000263563600029
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7179
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 Comptitat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China 2.COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
推荐引用方式 GB/T 7714	Shah, Abdullah,Guo, Hong,Yuan, Li. A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2009,5(2-4):712-729.
APA	Shah, Abdullah,Guo, Hong,&Yuan, Li.(2009).A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,5(2-4),712-729.
MLA	Shah, Abdullah,et al."A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 5.2-4(2009):712-729.