A diagonal algorithm for the method of pseudocompressibility
type: Item
instance of: scholarly article
title: A diagonal algorithm for the method of pseudocompressibility
zbMATH Open document ID: 0633.76034
DOI: 10.1016/0021-9991(87)90142-2
author: Stuart E. Rogers
author: James L. C. Chang
author: Dochan Kwak
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: The method of pseudocompressibility has been found to be an efficient method for obtaining a steady-state solution to the incompressible Navier-Stokes equations. Recent improvements to this method include the use of a diagonal scheme for the inversion of the equations at each iteration. The necessary transformations have been derived for the pseudocompressibility equations in generalized coordinates. The diagonal algorithm reduces the computing time necessary to obtain a steady-state solution by a factor of nearly three. Implicit viscous terms are maintained in the equations, and it has become possible to use fourth-order implicit dissipation. The steady-state solution is unchanged by the approximations resulting from the diagonalization of the equations. Computed results for flow over a two- dimensional backward-facing step and a three-dimensional cylinder mounted normal to a flat plate are presented for both the old and new algorithms. The computing efficiency of these algorithms are compared. Identical solutions are obtained from both algorithms which compare well with experimental results.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4031242
zbMATH Keywords: method of pseudocompressibility
zbMATH Keywords: steady-state solution
zbMATH Keywords: incompressible Navier-Stokes equations
zbMATH Keywords: pseudocompressibility equations
zbMATH Keywords: two-dimensional backward-facing step
zbMATH Keywords: three-dimensional cylinder
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90142-2
OpenAlex ID: W2030854589
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description: scientific article; zbMATH DE number 4031242