Viscous Regularization of the Euler Equations and Entropy Principles

Jean-Luc Guermond, Bojan Popov

Research output: Contribution to journalArticlepeer-review

69 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 languageEnglish (US)
Pages (from-to)284-305
Number of pages22
JournalSIAM Journal on Applied Mathematics
Volume74
Issue number2
DOIs
StatePublished - Mar 11 2014
Externally publishedYes

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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