A definition for Large Eddy Simulation approximations of the Navier-Stokes equations

J. L. Guermond; S. Prudhomme

A definition for Large Eddy Simulation approximations of the Navier-Stokes equations

J. L. Guermond, S. Prudhomme

Research output: Contribution to conference › Paper › peer-review

Abstract

This paper proposes a mathematical definition of Large Eddy Simulation (LES) for three-dimensional turbulent incompressible viscous flows. We propose to call LES approximation of the Navier-Stokes equations any sequence of finite-dimensional approximations of the velocity and pressure fields that converge (possibly up to subsequences) in the Leray class to a suitable weak solution.

Original language	English (US)
State	Published - 2004
Externally published	Yes
Event	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland Duration: Jul 24 2004 → Jul 28 2004

Other

Other	European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
Country/Territory	Finland
City	Jyvaskyla
Period	07/24/04 → 07/28/04

Keywords

Large Eddy Simulation
Navier-Stokes equations
Turbulence

ASJC Scopus subject areas

Artificial Intelligence
Applied Mathematics

Cite this

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title = "A definition for Large Eddy Simulation approximations of the Navier-Stokes equations",

abstract = "This paper proposes a mathematical definition of Large Eddy Simulation (LES) for three-dimensional turbulent incompressible viscous flows. We propose to call LES approximation of the Navier-Stokes equations any sequence of finite-dimensional approximations of the velocity and pressure fields that converge (possibly up to subsequences) in the Leray class to a suitable weak solution.",

keywords = "Large Eddy Simulation, Navier-Stokes equations, Turbulence",

author = "Guermond, {J. L.} and S. Prudhomme",

year = "2004",

language = "English (US)",

note = "European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 ; Conference date: 24-07-2004 Through 28-07-2004",

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TY - CONF

T1 - A definition for Large Eddy Simulation approximations of the Navier-Stokes equations

AU - Guermond, J. L.

AU - Prudhomme, S.

PY - 2004

Y1 - 2004

N2 - This paper proposes a mathematical definition of Large Eddy Simulation (LES) for three-dimensional turbulent incompressible viscous flows. We propose to call LES approximation of the Navier-Stokes equations any sequence of finite-dimensional approximations of the velocity and pressure fields that converge (possibly up to subsequences) in the Leray class to a suitable weak solution.

AB - This paper proposes a mathematical definition of Large Eddy Simulation (LES) for three-dimensional turbulent incompressible viscous flows. We propose to call LES approximation of the Navier-Stokes equations any sequence of finite-dimensional approximations of the velocity and pressure fields that converge (possibly up to subsequences) in the Leray class to a suitable weak solution.

KW - Large Eddy Simulation

KW - Navier-Stokes equations

KW - Turbulence

UR - http://www.scopus.com/inward/record.url?scp=84893516104&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84893516104

T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004

Y2 - 24 July 2004 through 28 July 2004

ER -

A definition for Large Eddy Simulation approximations of the Navier-Stokes equations

Abstract

Other

Keywords

ASJC Scopus subject areas

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