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selective anisotropic model.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Vorticity dynamics and turbulence modelsfor Large-Eddy Simulations
Georges-Henri Cottet, Delia Jiroveanu, Bertrand Michaux
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 37 / Issue 1 / January 2003

Published online by Cambridge University Press:

15 March 2003, pp. 187-207

Print publication:

January 2003
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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.