A finite volume scheme with shock fitting for the steady Euler equations
type: Item
instance of: scholarly article
title: A finite volume scheme with shock fitting for the steady Euler equations
zbMATH Open document ID: 0656.76059
DOI: 10.1016/0021-9991(89)90094-6
author: K. W. Morton
author: M. F. Paisley
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: Analysis of two alternative finite volume formulations, in respect of accuracy on non-uniform meshes and number of spurious modes, leads to a preference for the more compact cell vertex scheme over the cell centre scheme. The resulting equations are solved iteratively by using a Lax- Wendroff procedure as a smoother for a multigrid algorithm: then application of boundary conditions in a natural way leads rapidly to all individual residuals being driven close to zero - except at shocks. At shocks the residuals should not be zero and a shock-fitting procedure is introduced to avoid this inconsistency. Sharp, accurate solutions on a relatively coarse mesh are obtained for a channel flow problem in which the Zierep singularity is displayed, and for the NACA 0012 aerofoil.
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4072605
zbMATH Keywords: finite volume formulations
zbMATH Keywords: accuracy
zbMATH Keywords: compact cell vertex scheme
zbMATH Keywords: cell centre scheme
zbMATH Keywords: Lax-Wendroff procedure
zbMATH Keywords: Zierep singularity
zbMATH Keywords: NACA 0012 aerofoil
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90094-6
OpenAlex ID: W1985381320
cites work: Q3675702
cites work: Q5523565
cites work: Shock fitting for everybody
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description: scientific article; zbMATH DE number 4072605