A MULTIGRID SOLVER FOR THE STEADY COMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR COORDINATE SYSTEMS

	A MULTIGRID SOLVER FOR THE STEADY COMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR COORDINATE SYSTEMS
	ZHANG, LB
	1994-07-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	113 期号:1 页码:26-34
摘要	A multigrid solver for the steady incompressible Navier-Stokes equations on a curvilinear grid is constructed. The Cartesian velocity components are used in the discretization of the momentum equations. A staggered, geometrically symmetric distribution of velocity components is adopted which eliminates spurious pressure oscillations and facilitates the transformation between Cartesian and co-or contravariant velocity components. The SCGS (symmetrical collective Gauss-Seidel) relaxation scheme proposed by Vanka on a Cartesian grid is extended to this case to serve as the smoothing procedure of the multigrid solver, in both ''box'' and ''box-line'' versions. Due to the symmetric distribution of velocity components of this scheme, the convergence rate and numerical accuracy are not affected by grid orientation, in contrast to a scheme proposed in the literature in which difficulties arise when the grid lines turn 90-degrees from the Cartesian coordinates. Some preliminary numerical experiences with this scheme are presented. (C) 1994 Academic Press. Inc.
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:A1994NR92800004
出版者	ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27836
专题	计算数学与科学工程计算研究所
通讯作者	ZHANG, LB
作者单位	CHINESE ACAD SCI,CTR COMP,STATE KEY LAB SCI & ENGN COMP,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	ZHANG, LB. A MULTIGRID SOLVER FOR THE STEADY COMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR COORDINATE SYSTEMS[J]. JOURNAL OF COMPUTATIONAL PHYSICS,1994,113(1):26-34.
APA	ZHANG, LB.(1994).A MULTIGRID SOLVER FOR THE STEADY COMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR COORDINATE SYSTEMS.JOURNAL OF COMPUTATIONAL PHYSICS,113(1),26-34.
MLA	ZHANG, LB."A MULTIGRID SOLVER FOR THE STEADY COMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR COORDINATE SYSTEMS".JOURNAL OF COMPUTATIONAL PHYSICS 113.1(1994):26-34.