Vorticity dynamics and turbulence models for Large-Eddy Simulations
LMC-IMAG, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex, France. Georges-Henri.Cottet@imag.fr.Delia.Jiroveanu@imag.fr.Bertrand.Michaux@imag.fr.
Revised: 19 November 2002
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.
Mathematics Subject Classification: 35Q30 / 81T80
Key words: Navier–Stokes equations / large eddy simulation / subgrid-scale modeling / Smagorinsky model / selective anisotropic model.
© EDP Sciences, SMAI, 2003