Handle URI:
http://hdl.handle.net/10754/598201
Title:
Entropy viscosity method for nonlinear conservation laws
Authors:
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
Abstract:
A new class of high-order numerical methods for approximating nonlinear conservation laws is described (entropy viscosity method). The novelty is that a nonlinear viscosity based on the local size of an entropy production is added to the numerical discretization at hand. This new approach does not use any flux or slope limiters, applies to equations or systems supplemented with one or more entropy inequalities and does not depend on the mesh type and polynomial approximation. Various benchmark problems are solved with finite elements, spectral elements and Fourier series to illustrate the capability of the proposed method. © 2010 Elsevier Inc.
Citation:
Guermond J-L, Pasquetti R, Popov B (2011) Entropy viscosity method for nonlinear conservation laws. Journal of Computational Physics 230: 4248–4267. Available: http://dx.doi.org/10.1016/j.jcp.2010.11.043.
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
May-2011
DOI:
10.1016/j.jcp.2010.11.043
Type:
Article
ISSN:
0021-9991
Sponsors:
This material is based upon work supported by the National Science Foundation Grant DMS-0713929, DMS-0811041 and by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGuermond, Jean-Lucen
dc.contributor.authorPasquetti, Richarden
dc.contributor.authorPopov, Bojanen
dc.date.accessioned2016-02-25T13:14:36Zen
dc.date.available2016-02-25T13:14:36Zen
dc.date.issued2011-05en
dc.identifier.citationGuermond J-L, Pasquetti R, Popov B (2011) Entropy viscosity method for nonlinear conservation laws. Journal of Computational Physics 230: 4248–4267. Available: http://dx.doi.org/10.1016/j.jcp.2010.11.043.en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2010.11.043en
dc.identifier.urihttp://hdl.handle.net/10754/598201en
dc.description.abstractA new class of high-order numerical methods for approximating nonlinear conservation laws is described (entropy viscosity method). The novelty is that a nonlinear viscosity based on the local size of an entropy production is added to the numerical discretization at hand. This new approach does not use any flux or slope limiters, applies to equations or systems supplemented with one or more entropy inequalities and does not depend on the mesh type and polynomial approximation. Various benchmark problems are solved with finite elements, spectral elements and Fourier series to illustrate the capability of the proposed method. © 2010 Elsevier Inc.en
dc.description.sponsorshipThis material is based upon work supported by the National Science Foundation Grant DMS-0713929, DMS-0811041 and by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherElsevier BVen
dc.subjectCentral schemesen
dc.subjectConservation lawsen
dc.subjectEntropy viscosityen
dc.subjectEuler equationsen
dc.subjectFinite elementsen
dc.subjectFourier methoden
dc.subjectGodunov schemesen
dc.subjectSpectral elementsen
dc.titleEntropy viscosity method for nonlinear conservation lawsen
dc.typeArticleen
dc.identifier.journalJournal of Computational Physicsen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionCNRS Centre National de la Recherche Scientifique, Paris, Franceen
kaust.grant.numberKUS-C1-016-04en
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