On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation

J. L. Guermond; S. Prudhomme

doi:10.1016/j.physd.2005.05.014

On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation

J. L. Guermond^*, S. Prudhomme

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

This paper discusses the notion of large eddy simulation (LES) as a mathematical concept and proposes to use the concept of suitable weak solutions as a building block for the development of a mathematical theory of LES. Various techniques for constructing suitable weak solutions to the three-dimensional Navier-Stokes equations are reviewed and many features of these mathematical constructions are shown to comply with well-accepted heuristic characterizations of LES. Published by Elsevier B.V.

Original language	English (US)
Pages (from-to)	64-78
Number of pages	15
Journal	Physica D: Nonlinear Phenomena
Volume	207
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physd.2005.05.014
State	Published - Jul 15 2005
Externally published	Yes

Keywords

Large eddy simulation
Navier-Stokes equations
Turbulence

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/j.physd.2005.05.014

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abstract = "This paper discusses the notion of large eddy simulation (LES) as a mathematical concept and proposes to use the concept of suitable weak solutions as a building block for the development of a mathematical theory of LES. Various techniques for constructing suitable weak solutions to the three-dimensional Navier-Stokes equations are reviewed and many features of these mathematical constructions are shown to comply with well-accepted heuristic characterizations of LES. Published by Elsevier B.V.",

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AU - Prudhomme, S.

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Y1 - 2005/7/15

N2 - This paper discusses the notion of large eddy simulation (LES) as a mathematical concept and proposes to use the concept of suitable weak solutions as a building block for the development of a mathematical theory of LES. Various techniques for constructing suitable weak solutions to the three-dimensional Navier-Stokes equations are reviewed and many features of these mathematical constructions are shown to comply with well-accepted heuristic characterizations of LES. Published by Elsevier B.V.

AB - This paper discusses the notion of large eddy simulation (LES) as a mathematical concept and proposes to use the concept of suitable weak solutions as a building block for the development of a mathematical theory of LES. Various techniques for constructing suitable weak solutions to the three-dimensional Navier-Stokes equations are reviewed and many features of these mathematical constructions are shown to comply with well-accepted heuristic characterizations of LES. Published by Elsevier B.V.

KW - Large eddy simulation

KW - Navier-Stokes equations

KW - Turbulence

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ER -

On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation

Abstract

Keywords

ASJC Scopus subject areas

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