A scheme for the numerical solution of hyperbolic systems of conservation laws
type: Item
instance of: scholarly article
title: A scheme for the numerical solution of hyperbolic systems of conservation laws
zbMATH Open document ID: 0628.65081
DOI: 10.1016/0021-9991(87)90042-8
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: A method for the numerical solution of hyperbolic systems of conservation laws, particularly of the equations of gas dynamics in one space dimension, is proposed. It is a hybrid method. If the solution is smooth, the grid is fixed and some difference scheme is used. If the solution contains discontinuities, then the group of characteristic points is defined and the method of characteristics is used. The author describes the strategy for the determination of characteristic points. The numerical solutions for some model one-dimensional gas dynamics problems with discontinuities show that the method represents shocks accurately.
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 4022531
zbMATH Keywords: hyperbolic systems of conservation laws
zbMATH Keywords: gas dynamics
zbMATH Keywords: hybrid method
zbMATH Keywords: discontinuities
zbMATH Keywords: method of characteristics
zbMATH Keywords: shocks
author: William D. Henshaw
reviewed by: Yuri I. Shokin
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90042-8
OpenAlex ID: W2080686959
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description: scientific article; zbMATH DE number 4022531