Multiresolution schemes for conservation laws with viscosity
type: Item
instance of: scholarly article
title: Multiresolution schemes for conservation laws with viscosity
zbMATH Open document ID: 0840.65093
author: Barna L. Bihari
published in: Journal of Computational Physics
publication date: 1996-06-30T00:00:00Z
review text: The author presents multiresolution schemes for the efficient numerical solution of one-dimensional conservation laws with viscosity. The method computes the cell average multiresolution representation of the solution which provides much information about the solution's regularity. Hence, the possible extensive essentially nonoscillatory (ENO) reconstruction as well as flux computations are performed only near discontinuities. The multiresolution scheme is also expected to `follow' possibly unsteady irregularities from one time step to the next. When viscosity is added, predicting the location of the regularity becomes a problem of estimating the change in shock thickness. Therefore, shock width estimates are derived for the 1D prototype equations.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 851764
zbMATH Keywords: ENO schemes
zbMATH Keywords: expensive essentially nonoscillatory reconstruction
zbMATH Keywords: multiresolution schemes
zbMATH Keywords: conservation laws
zbMATH Keywords: viscosity
zbMATH Keywords: shock
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
full work available at URL: jcph.1996.0017
OpenAlex ID: W2074829499
DOI: 10.1006/JCPH.1996.0017
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description: scientific article; zbMATH DE number 851764