# Vorticity dynamics and turbulence models for Large-Eddy Simulations

Georges-Henri Cottet; Delia Jiroveanu; Bertrand Michaux

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- 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 37.1 (2010): 187-207. <http://eudml.org/doc/194153>.

@article{Cottet2010,

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},

keywords = {Navier–Stokes equations; large eddy simulation; subgrid-scale modeling; Smagorinsky
model; selective anisotropic model.; Vortex dynamics; turbulence models},

language = {eng},

month = {3},

number = {1},

pages = {187-207},

publisher = {EDP Sciences},

title = {Vorticity dynamics and turbulence models for Large-Eddy Simulations},

url = {http://eudml.org/doc/194153},

volume = {37},

year = {2010},

}

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

DA - 2010/3//

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/194153

ER -

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