The stiff conservation laws and the MacCormack difference scheme
type: Item
instance of: scholarly article
title: The stiff conservation laws and the MacCormack difference scheme
zbMATH Open document ID: 0783.76061
DOI: 10.1016/0045-7825(93)90097-H
author: M. A. Kassar
author: Farhad Ali
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1994-03-17T00:00:00Z
review text: In the modelling of nonequilibrium gas dynamics, such as detonation and radiation hydrodynamics, the system of conservation laws governing the inviscid flow contains source terms representing chemistry. Numerical computations of such equations with dominant source terms, using the usual form of MacCormack predictor-corrector method, exhibit errors in wave speed. Here, modifications in the MacCormack scheme are proposed that remove these errors.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 473260
zbMATH Keywords: Fourier analysis
zbMATH Keywords: stability
zbMATH Keywords: nonequilibrium gas dynamics
zbMATH Keywords: detonation
zbMATH Keywords: radiation hydrodynamics
zbMATH Keywords: chemistry
zbMATH Keywords: wave speed
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 473260