From suitable weak solutions to entropy viscosity

Jean Luc Guermond; Richard Pasquetti; Bojan Popov

doi:10.1007/978-94-007-0231-8_34

From suitable weak solutions to entropy viscosity

Jean Luc Guermond, Richard Pasquetti, Bojan Popov

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 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 relate to LES (ii) to introduce an entropy viscosity technique based on the notion of suitable weak solution and to illustrate numerically this concept.

Original language	English (US)
Title of host publication	Quality and Reliability of Large-Eddy Simulations II
Publisher	Springer Netherlands
Pages	373-390
Number of pages	18
ISBN (Print)	9789400702301
DOIs	https://doi.org/10.1007/978-94-007-0231-8_34
State	Published - 2011
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2022-06-28
Acknowledged KAUST grant number(s): KUS-C1-016- 04
Acknowledgements: This material is based upon work supported by the National Science Foundation grants DMS-07138229 and DMS-0811041 and partially supported by Award No. KUS-C1-016- 04, made by King Abdullah University of Science and Technology (KAUST). This work was also supported by Lawrence Livermore 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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10.1007/978-94-007-0231-8_34

Cite this

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title = "From suitable weak solutions to entropy viscosity",

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 relate to LES (ii) to introduce an entropy viscosity technique based on the notion of suitable weak solution and to illustrate numerically this concept.",

author = "Guermond, {Jean Luc} and Richard Pasquetti and Bojan Popov",

note = "KAUST Repository Item: Exported on 2022-06-28 Acknowledged KAUST grant number(s): KUS-C1-016- 04 Acknowledgements: This material is based upon work supported by the National Science Foundation grants DMS-07138229 and DMS-0811041 and partially supported by Award No. KUS-C1-016- 04, made by King Abdullah University of Science and Technology (KAUST). This work was also supported by Lawrence Livermore National Security, LLC, under Task Order B575366 and Master Task Agreement B575363 This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2011",

doi = "10.1007/978-94-007-0231-8_34",

language = "English (US)",

isbn = "9789400702301",

pages = "373--390",

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TY - GEN

T1 - From suitable weak solutions to entropy viscosity

AU - Guermond, Jean Luc

AU - Pasquetti, Richard

AU - Popov, Bojan

N1 - KAUST Repository Item: Exported on 2022-06-28 Acknowledged KAUST grant number(s): KUS-C1-016- 04 Acknowledgements: This material is based upon work supported by the National Science Foundation grants DMS-07138229 and DMS-0811041 and partially supported by Award No. KUS-C1-016- 04, made by King Abdullah University of Science and Technology (KAUST). This work was also supported by Lawrence Livermore National Security, LLC, under Task Order B575366 and Master Task Agreement B575363 This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2011

Y1 - 2011

N2 - 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 relate to LES (ii) to introduce an entropy viscosity technique based on the notion of suitable weak solution and to illustrate numerically this concept.

AB - 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 relate to LES (ii) to introduce an entropy viscosity technique based on the notion of suitable weak solution and to illustrate numerically this concept.

UR - http://hdl.handle.net/10754/679375

UR - http://link.springer.com/10.1007/978-94-007-0231-8_34

UR - http://www.scopus.com/inward/record.url?scp=84964810231&partnerID=8YFLogxK

U2 - 10.1007/978-94-007-0231-8_34

DO - 10.1007/978-94-007-0231-8_34

M3 - Conference contribution

SN - 9789400702301

SP - 373

EP - 390

BT - Quality and Reliability of Large-Eddy Simulations II

PB - Springer Netherlands

ER -

From suitable weak solutions to entropy viscosity

Abstract

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