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A MULTIGRID SOLVER FOR THE STEADY COMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR COORDINATE SYSTEMS
ZHANG, LB
1994-07-01
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
ISSN0021-9991
Volume113Issue:1Pages:26-34
AbstractA 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.
Language英语
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:A1994NR92800004
PublisherACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27836
Collection计算数学与科学工程计算研究所
AffiliationCHINESE ACAD SCI,CTR COMP,STATE KEY LAB SCI & ENGN COMP,BEIJING 100080,PEOPLES R CHINA
Recommended Citation
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.
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