Entropy Viscosity Method for High-Order Approximations of Conservation Laws

Handle URI:
http://hdl.handle.net/10754/598200
Title:
Entropy Viscosity Method for High-Order Approximations of Conservation Laws
Authors:
Guermond, J. L.; Pasquetti, R.
Abstract:
A stabilization technique for conservation laws is presented. It introduces in the governing equations a nonlinear dissipation function of the residual of the associated entropy equation and bounded from above by a first order viscous term. Different two-dimensional test cases are simulated - a 2D Burgers problem, the "KPP rotating wave" and the Euler system - using high order methods: spectral elements or Fourier expansions. Details on the tuning of the parameters controlling the entropy viscosity are given. © 2011 Springer.
Citation:
Guermond JL, Pasquetti R (2010) Entropy Viscosity Method for High-Order Approximations of Conservation Laws. Spectral and High Order Methods for Partial Differential Equations: 411–418. Available: http://dx.doi.org/10.1007/978-3-642-15337-2_39.
Publisher:
Springer Science + Business Media
Journal:
Spectral and High Order Methods for Partial Differential Equations
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
17-Sep-2010
DOI:
10.1007/978-3-642-15337-2_39
Type:
Book Chapter
ISSN:
1439-7358
Sponsors:
This material is based upon work supported by the National Science Foun-dation grant DMS-0510650 and DMS-0811041 and partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST)
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Full metadata record

DC FieldValue Language
dc.contributor.authorGuermond, J. L.en
dc.contributor.authorPasquetti, R.en
dc.date.accessioned2016-02-25T13:14:34Zen
dc.date.available2016-02-25T13:14:34Zen
dc.date.issued2010-09-17en
dc.identifier.citationGuermond JL, Pasquetti R (2010) Entropy Viscosity Method for High-Order Approximations of Conservation Laws. Spectral and High Order Methods for Partial Differential Equations: 411–418. Available: http://dx.doi.org/10.1007/978-3-642-15337-2_39.en
dc.identifier.issn1439-7358en
dc.identifier.doi10.1007/978-3-642-15337-2_39en
dc.identifier.urihttp://hdl.handle.net/10754/598200en
dc.description.abstractA stabilization technique for conservation laws is presented. It introduces in the governing equations a nonlinear dissipation function of the residual of the associated entropy equation and bounded from above by a first order viscous term. Different two-dimensional test cases are simulated - a 2D Burgers problem, the "KPP rotating wave" and the Euler system - using high order methods: spectral elements or Fourier expansions. Details on the tuning of the parameters controlling the entropy viscosity are given. © 2011 Springer.en
dc.description.sponsorshipThis material is based upon work supported by the National Science Foun-dation grant DMS-0510650 and DMS-0811041 and partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST)en
dc.publisherSpringer Science + Business Mediaen
dc.titleEntropy Viscosity Method for High-Order Approximations of Conservation Lawsen
dc.typeBook Chapteren
dc.identifier.journalSpectral and High Order Methods for Partial Differential Equationsen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionLIMSI Laobratoire d'Informatique pour la Mecanique et les Sciences de l'Ingenieur, Orsay, Franceen
dc.contributor.institutionUniversite Nice Sophia Antipolis, Nice, Franceen
kaust.grant.numberKUS-C1-016-04en
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