KMS Of Academy of mathematics and systems sciences, CAS
Comparison of implicit multigrid schemes for three-dimensional incompressible flows | |
Yuan, L | |
2002-03-20 | |
Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS |
ISSN | 0021-9991 |
Volume | 177Issue:1Pages:134-155 |
Abstract | To 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). |
Keyword | multigrid implicit scheme artificial compressibility incompressible Navier-Stokes equations prolate spheroid |
DOI | 10.1006/jcph.2002.7007 |
Language | 英语 |
WOS Research Area | Computer Science ; Physics |
WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
WOS ID | WOS:000174659300006 |
Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/17882 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Yuan, L |
Affiliation | Acad 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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