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Vorticity dynamics and turbulence modelsfor Large-Eddy Simulations

Published online by Cambridge University Press:  15 March 2003

Georges-Henri Cottet ,
Delia Jiroveanu  and
Bertrand Michaux
Georges-Henri Cottet
Affiliation:
LMC-IMAG, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex, France. [email protected]@[email protected].
Delia Jiroveanu
Affiliation:
LMC-IMAG, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex, France. [email protected]@[email protected].
Bertrand Michaux
Affiliation:
LMC-IMAG, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex, France. [email protected]@[email protected].
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Abstract

We consider in this paper the problem of finding appropriate models for Large Eddy Simulations of turbulent incompressible flows from a mathematical point of view. The Smagorinsky model is analyzed and the vorticity formulation of the Navier–Stokes equations is used to explore more efficient subgrid-scale models as minimal regularizations of these equations. Two classes of variants of the Smagorinsky model emerge from this approach: a model based on anisotropic turbulent viscosity and a selective model based on vorticity angles. The efficiency of these models is demonstrated by comparisons with reference results on decaying turbulence experiments.

Keywords

Navier–Stokes equationslarge eddy simulationsubgrid-scale modelingSmagorinskymodelselective anisotropic model.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 1 , January 2003 , pp. 187 - 207
Copyright
© EDP Sciences, SMAI, 2003

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