Multiple grid and Osher's scheme for the efficient solution of the steady Euler equations
type: Item
instance of: scholarly article
title: Multiple grid and Osher's scheme for the efficient solution of the steady Euler equations
zbMATH Open document ID: 0612.76077
DOI: 10.1016/0168-9274(86)90003-6
author: P. W. Hemker
author: S. P. Spekreijse
published in: Applied Numerical Mathematics
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://ir.cwi.nl/pub/1748
review text: An iterative method is developed for the solution of the steady Euler equations for inviscid flow. The system of hyperbolic conservation laws is discretized by a finite-volume Osher-discretization. The iterative method is a multiple grid (FAS) iteration with symmetric Gauss-Seidel (SGS) as a relaxation method. Initial estimates are obtained by fully multigrid (FMG). In the pointwise relaxation the equations are kept in block-coupled form and local linearization of the equations and the boundary conditions is considered. The efficient formulation of Osher's discretization of the 2-D non-isentropic steady Euler equations and its linearization is presented. The efficiency of FAS-SGS iteration is shown for a transonic model problem. It appears that, for the problem considered, the rate of convergence is almost independent of the gridsize and that for all meshizes the discrete system is solved up to truncation error accuracy in only a few (2 or 3) iteration cycles.
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 3991144
zbMATH Keywords: iterative method
zbMATH Keywords: steady Euler equations
zbMATH Keywords: inviscid flow
zbMATH Keywords: hyperbolic conservation laws
zbMATH Keywords: finite-volume Osher-discretization
zbMATH Keywords: pointwise relaxation
zbMATH Keywords: local linearization
zbMATH Keywords: boundary conditions
zbMATH Keywords: Osher's discretization
zbMATH Keywords: non-isentropic steady Euler equations
zbMATH Keywords: transonic model problem
zbMATH Keywords: rate of convergence
describes a project that uses: HLLE
MaRDI profile type: Publication
OpenAlex ID: W2168637180
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description: scientific article; zbMATH DE number 3991144