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.
Mots clés : Navier-Stokes equations, large eddy simulation, subgrid-scale modeling, Smagorinsky model, selective anisotropic model
@article{M2AN_2003__37_1_187_0,
author = {Cottet, Georges-Henri and Jiroveanu, Delia and Michaux, Bertrand},
title = {Vorticity dynamics and turbulence models for {large-Eddy} simulations},
journal = {ESAIM: 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},
mrnumber = {1972658},
zbl = {1044.35051},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2003013/}
}
TY - JOUR AU - Cottet, Georges-Henri AU - Jiroveanu, Delia AU - Michaux, Bertrand TI - Vorticity dynamics and turbulence models for large-Eddy simulations JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2003 SP - 187 EP - 207 VL - 37 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2003013/ DO - 10.1051/m2an:2003013 LA - en ID - M2AN_2003__37_1_187_0 ER -
%0 Journal Article %A Cottet, Georges-Henri %A Jiroveanu, Delia %A Michaux, Bertrand %T Vorticity dynamics and turbulence models for large-Eddy simulations %J ESAIM: Modélisation mathématique et analyse numérique %D 2003 %P 187-207 %V 37 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2003013/ %R 10.1051/m2an:2003013 %G en %F M2AN_2003__37_1_187_0
Cottet, Georges-Henri; Jiroveanu, Delia; Michaux, Bertrand. Vorticity dynamics and turbulence models for large-Eddy simulations. ESAIM: 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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