A multigrid solver for the steady incompressible Navier-Stokes equations on curvilinear coordinate systems
type: Item
instance of: scholarly article
title: A multigrid solver for the steady incompressible Navier-Stokes equations on curvilinear coordinate systems
zbMATH Open document ID: 0809.76068
author: Linbo Zhang
published in: Journal of Computational Physics
publication date: 1994-10-17T00:00:00Z
review text: 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 symmetrical collective Gauss-Seidel relaxation scheme proposed 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. Some preliminary numerical experiences with this scheme are presented.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65N55
zbMATH DE Number: 651855
zbMATH Keywords: Cartesian velocity components
zbMATH Keywords: symmetrical collective Gauss-Seidel relaxation scheme
zbMATH Keywords: smoothing procedure
MaRDI profile type: Publication
full work available at URL: jcph.1994.1115
OpenAlex ID: W2089023133
DOI: 10.1006/JCPH.1994.1115
description: scientific article; zbMATH DE number 651855