From Suitable Weak Solutions to Entropy Viscosity

Jean-Luc Guermond, Richard Pasquetti, Bojan Popov

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

This paper focuses on the notion of suitable weak solutions for the three-dimensional incompressible Navier-Stokes equations and discusses the relevance of this notion to Computational Fluid Dynamics. The purpose of the paper is twofold (i) to recall basic mathematical properties of the three-dimensional incompressible Navier-Stokes equations and to show how they might relate to LES (ii) to introduce an entropy viscosity technique based on the notion of suitable weak solution and to illustrate numerically this concept. © 2010 Springer Science+Business Media, LLC.
Original languageEnglish (US)
Pages (from-to)35-50
Number of pages16
JournalJournal of Scientific Computing
Volume49
Issue number1
DOIs
StatePublished - Dec 16 2010
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 by the National Science Foundationgrants DMS-07138229 and DMS-0811041 and partially supported by Award No. KUS-C1-016-04, made byKing Abdullah University of Science and Technology (KAUST). This work was also supported by LawrenceLivermore National Security, LLC, under Task Order B575366 and Master Task Agreement B575363.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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