Comparison of implicit multigrid schemes for three-dimensional incompressible flows
type: Item
instance of: scholarly article
title: Comparison of implicit multigrid schemes for three-dimensional incompressible flows
zbMATH Open document ID: 1027.76032
author: Li Yuan
published in: Journal of Computational Physics
publication date: 2002-07-04T00:00:00Z
review text: The author compares several implicit multigrid schemes for solving three-dimensional incompressible Navier-Stokes equations. These schemes employ a common full approximation storage (FAS) multigrid algorithm implemented with one of three implixit schemes: modified point Gauss relaxation scheme, Gauss-Sedel line relaxation scheme, and Beam-Warming ADI scheme. The flow solver is based on artificial compressibility and uses a third-order upwind difference for convective terms and a second-order central difference for viscous terms. Numerical results are presented. The study concludes that the FAS multigrid algorithm with modified point Gauss relaxation scheme is preferable for simulation both steady-state and time-dependent incompressible flows.
reviewed by: Pavel Burda
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65M55
zbMATH DE Number: 1763689
zbMATH Keywords: prolate spheroid
zbMATH Keywords: full approximation storage multigrid algorithm
zbMATH Keywords: three-dimensional incompressible Navier-Stokes equations
zbMATH Keywords: Gauss-Sedel line relaxation scheme
zbMATH Keywords: Beam-Warming ADI scheme
zbMATH Keywords: artificial compressibility
zbMATH Keywords: third-order upwind difference
zbMATH Keywords: second-order central difference
zbMATH Keywords: modified point Gauss relaxation scheme
MaRDI profile type: Publication
full work available at URL: jcph.2002.7007
OpenAlex ID: W2135687215
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DOI: 10.1006/JCPH.2002.7007
description: scientific article; zbMATH DE number 1763689