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Comparison of implicit multigrid schemes for three-dimensional incompressible flows
Yuan, L
2002-03-20
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
ISSN0021-9991
Volume177Issue:1Pages:134-155
AbstractTo develop a robust and efficient computational flow simulation tool for incompressible flow applications, a number of different implicit multigrid schemes for solving, the three-dimensional incompressible Navier-Stokes equations are compared in the current study. These schemes consist of a common full approximation storage (FAS) multigrid algorithm implemented in conjunction with three different implicit schemes, which include a modified point Gauss relaxation, a standard Gauss-Seidel line relaxation-and the Beam-Warming alternating direction implicit (ADI) scheme. The flow solver used in the study is based on artificial compressibility and uses a third-order upwind difference for the convective terms and a second-order central difference for the viscous terms. The efficiency of each implicit multigrid scheme is assessed in terms of the computing time required for two laminar flow problems: the entry flow through a 90degrees bent square duct, and the steady-state and unsteady flows past a prolate spheroid at incidence with an axis ratio of 4:1. It is found that implementation of Neumann boundary conditions on the coarse grid in terms of the flow variable correction rather than the flow variable itself is essential for obtaining good convergence in the collocated finite difference discretization. The results of steady-state flow computations show that all the implicit multigrid schemes yield more than 50% computational time savings over their single grid counterparts, and the point or line relaxation multigrid scheme outperforms the AD[ multi-rid scheme by at least a factor of 2. However, in unsteady flow, computations, the computational time saving of the multigrid scheme is less than that in steady-state cases, The current study concludes that the FAS multi-rid algorithm implemented with the modified point Gauss relaxation scheme is preferable for simulating both steady-state and time-dependent incompressible flows. (C) 2002 Elsevier Science (USA).
Keywordmultigrid implicit scheme artificial compressibility incompressible Navier-Stokes equations prolate spheroid
DOI10.1006/jcph.2002.7007
Language英语
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000174659300006
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17882
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYuan, L
AffiliationAcad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Yuan, L. Comparison of implicit multigrid schemes for three-dimensional incompressible flows[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2002,177(1):134-155.
APA Yuan, L.(2002).Comparison of implicit multigrid schemes for three-dimensional incompressible flows.JOURNAL OF COMPUTATIONAL PHYSICS,177(1),134-155.
MLA Yuan, L."Comparison of implicit multigrid schemes for three-dimensional incompressible flows".JOURNAL OF COMPUTATIONAL PHYSICS 177.1(2002):134-155.
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