Geodesic
Vorticity dynamics and turbulence models for large-Eddy simulations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 1, pp. 187-207

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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.

DOI : 10.1051/m2an:2003013
Classification : 35Q30, 81T80
Keywords: Navier-Stokes equations, large eddy simulation, subgrid-scale modeling, Smagorinsky model, selective anisotropic model 
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     author = {Cottet, Georges-Henri and Jiroveanu, Delia and Michaux, Bertrand},
     title = {Vorticity dynamics and turbulence models for {large-Eddy} simulations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {187--207},
     publisher = {EDP-Sciences},
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Cottet, Georges-Henri; Jiroveanu, Delia; Michaux, Bertrand. Vorticity dynamics and turbulence models for large-Eddy simulations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 1, pp. 187-207. doi: 10.1051/m2an:2003013

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