A treatment of discontinuities in shock-capturing finite difference methods
type: Item
instance of: scholarly article
title: A treatment of discontinuities in shock-capturing finite difference methods
zbMATH Open document ID: 0716.65086
DOI: 10.1016/0021-9991(91)90217-9
published in: Journal of Computational Physics
publication date: 1991-01-01T00:00:00Z
review text: The author introduces a treatment to sharpen discontinuities to shock- capturing methods by means of a modification of the underlying scheme that makes the computation on each side of the discontinuity use information only from that side. Shock tracking ideas are involved in the treatment; however, no lower dimensional grid is needed to fit the discontinuity. Several numerical examples are presented in addition.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 4180712
zbMATH Keywords: finite difference methods
zbMATH Keywords: conservation laws
zbMATH Keywords: shock-capturing methods
zbMATH Keywords: discontinuity
zbMATH Keywords: Shock tracking
zbMATH Keywords: numerical examples
author: De-Kang Mao
MaRDI profile type: Publication
full work available at URL: 0021-9991(91)90217-9
OpenAlex ID: W2073731546
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description: scientific article; zbMATH DE number 4180712