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Vorticity dynamics and turbulence modelsfor Large-Eddy Simulations

Published online by Cambridge University Press:  15 March 2003

Georges-Henri Cottet
Affiliation:
LMC-IMAG, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex, France. Georges-Henri.Cottet@imag.fr.Delia.Jiroveanu@imag.fr.Bertrand.Michaux@imag.fr.
Delia Jiroveanu
Affiliation:
LMC-IMAG, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex, France. Georges-Henri.Cottet@imag.fr.Delia.Jiroveanu@imag.fr.Bertrand.Michaux@imag.fr.
Bertrand Michaux
Affiliation:
LMC-IMAG, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex, France. Georges-Henri.Cottet@imag.fr.Delia.Jiroveanu@imag.fr.Bertrand.Michaux@imag.fr.
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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.

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Type
Research Article
Copyright
© EDP Sciences, SMAI, 2003

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