Vorticity dynamics and turbulence models for large-Eddy simulations
Georges-Henri Cottet; Delia Jiroveanu; Bertrand Michaux
- Volume: 37, Issue: 1, page 187-207
- ISSN: 0764-583X
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topCottet, Georges-Henri, Jiroveanu, Delia, and Michaux, Bertrand. "Vorticity dynamics and turbulence models for large-Eddy simulations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 37.1 (2003): 187-207. <http://eudml.org/doc/244687>.
@article{Cottet2003,
abstract = {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.},
author = {Cottet, Georges-Henri, Jiroveanu, Delia, Michaux, Bertrand},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Navier–Stokes equations; large eddy simulation; subgrid-scale modeling; Smagorinsky model; selective anisotropic model; Vortex dynamics; turbulence models},
language = {eng},
number = {1},
pages = {187-207},
publisher = {EDP-Sciences},
title = {Vorticity dynamics and turbulence models for large-Eddy simulations},
url = {http://eudml.org/doc/244687},
volume = {37},
year = {2003},
}
TY - JOUR
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
PB - EDP-Sciences
VL - 37
IS - 1
SP - 187
EP - 207
AB - 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.
LA - eng
KW - Navier–Stokes equations; large eddy simulation; subgrid-scale modeling; Smagorinsky model; selective anisotropic model; Vortex dynamics; turbulence models
UR - http://eudml.org/doc/244687
ER -
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