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

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 : https://doi.org/10.1051/m2an:2003013
Classification : 35Q30,  81T80
Mots clés : Navier-Stokes equations, large eddy simulation, subgrid-scale modeling, Smagorinsky model, selective anisotropic model
     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 - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     pages = {187--207},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {1},
     year = {2003},
     doi = {10.1051/m2an:2003013},
     zbl = {1044.35051},
     mrnumber = {1972658},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/m2an:2003013/}
AU  - Cottet, Georges-Henri
AU  - Jiroveanu, Delia
AU  - Michaux, Bertrand
TI  - Vorticity dynamics and turbulence models for large-Eddy simulations
JO  - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY  - 2003
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VL  - 37
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PB  - EDP-Sciences
UR  - http://www.numdam.org/articles/10.1051/m2an:2003013/
UR  - https://zbmath.org/?q=an%3A1044.35051
UR  - https://www.ams.org/mathscinet-getitem?mr=1972658
UR  - https://doi.org/10.1051/m2an:2003013
DO  - 10.1051/m2an:2003013
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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 - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003) no. 1, pp. 187-207. doi : 10.1051/m2an:2003013. http://www.numdam.org/articles/10.1051/m2an:2003013/

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