Implementation of the entropy viscosity method with the discontinuous Galerkin method

Valentin Zingan; Jean-Luc Guermond; Jim Morel; Bojan Popov

doi:10.1016/j.cma.2012.08.018

Implementation of the entropy viscosity method with the discontinuous Galerkin method

Valentin Zingan, Jean-Luc Guermond, Jim Morel, Bojan Popov

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56 Scopus citations

Abstract

The notion of entropy viscosity method introduced in Guermond and Pasquetti [21] is extended to the discontinuous Galerkin framework for scalar conservation laws and the compressible Euler equations. © 2012 Elsevier B.V.

Original language	English (US)
Pages (from-to)	479-490
Number of pages	12
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	253
DOIs	https://doi.org/10.1016/j.cma.2012.08.018
State	Published - Jan 2013
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: This material is based upon work supported by the Master Agreement No. C08-00353 with Lawrence Livermore National Laboratory, the NSF grant DMS-0811041, the AFOSR award FA9550-09-1-0424, and it is also partially supported by award KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1016/j.cma.2012.08.018

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title = "Implementation of the entropy viscosity method with the discontinuous Galerkin method",

abstract = "The notion of entropy viscosity method introduced in Guermond and Pasquetti [21] is extended to the discontinuous Galerkin framework for scalar conservation laws and the compressible Euler equations. {\textcopyright} 2012 Elsevier B.V.",

author = "Valentin Zingan and Jean-Luc Guermond and Jim Morel and Bojan Popov",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUS-C1-016-04 Acknowledgements: This material is based upon work supported by the Master Agreement No. C08-00353 with Lawrence Livermore National Laboratory, the NSF grant DMS-0811041, the AFOSR award FA9550-09-1-0424, and it is also partially supported by award KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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doi = "10.1016/j.cma.2012.08.018",

language = "English (US)",

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T1 - Implementation of the entropy viscosity method with the discontinuous Galerkin method

AU - Zingan, Valentin

AU - Guermond, Jean-Luc

AU - Morel, Jim

AU - Popov, Bojan

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUS-C1-016-04 Acknowledgements: This material is based upon work supported by the Master Agreement No. C08-00353 with Lawrence Livermore National Laboratory, the NSF grant DMS-0811041, the AFOSR award FA9550-09-1-0424, and it is also partially supported by award KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2013/1

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N2 - The notion of entropy viscosity method introduced in Guermond and Pasquetti [21] is extended to the discontinuous Galerkin framework for scalar conservation laws and the compressible Euler equations. © 2012 Elsevier B.V.

AB - The notion of entropy viscosity method introduced in Guermond and Pasquetti [21] is extended to the discontinuous Galerkin framework for scalar conservation laws and the compressible Euler equations. © 2012 Elsevier B.V.

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UR - https://linkinghub.elsevier.com/retrieve/pii/S0045782512002708

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VL - 253

SP - 479

EP - 490

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -

Implementation of the entropy viscosity method with the discontinuous Galerkin method

Abstract

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