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

Abstract

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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.

How to cite

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Cottet, 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 -

References

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