Viscous Regularization of the Euler Equations and Entropy Principles

Jean-Luc Guermond; Bojan Popov

doi:10.1137/120903312

Viscous Regularization of the Euler Equations and Entropy Principles

Jean-Luc Guermond, Bojan Popov

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77 Scopus citations

Abstract

This paper investigates a general class of viscous regularizations of the compressible Euler equations. A unique regularization is identified that is compatible with all the generalized entropies, à la [Harten et al., SIAM J. Numer. Anal., 35 (1998), pp. 2117-2127], and satisfies the minimum entropy principle. A connection with a recently proposed phenomenological model by [H. Brenner, Phys. A, 370 (2006), pp. 190-224] is made. © 2014 Society for Industrial and Applied Mathematics.

Original language	English (US)
Pages (from-to)	284-305
Number of pages	22
Journal	SIAM Journal on Applied Mathematics
Volume	74
Issue number	2
DOIs	https://doi.org/10.1137/120903312
State	Published - Mar 11 2014
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 in part by National Science Foundation grants DMS-1015984 and DMS-1217262; by the Air Force Office of Scientific Research, USAF, under grants/contracts FA9550-09-1-0424 and FA9550-12-1-0358; and 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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title = "Viscous Regularization of the Euler Equations and Entropy Principles",

abstract = "This paper investigates a general class of viscous regularizations of the compressible Euler equations. A unique regularization is identified that is compatible with all the generalized entropies, {\`a} la [Harten et al., SIAM J. Numer. Anal., 35 (1998), pp. 2117-2127], and satisfies the minimum entropy principle. A connection with a recently proposed phenomenological model by [H. Brenner, Phys. A, 370 (2006), pp. 190-224] is made. {\textcopyright} 2014 Society for Industrial and Applied Mathematics.",

author = "Jean-Luc Guermond and Bojan Popov",

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Viscous Regularization of the Euler Equations and Entropy Principles

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