# Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows

Jean-Luc Guermond; Serge Prudhomme

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 37, Issue: 6, page 893-908
- ISSN: 0764-583X

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topGuermond, Jean-Luc, and Prudhomme, Serge. "Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows." ESAIM: Mathematical Modelling and Numerical Analysis 37.6 (2010): 893-908. <http://eudml.org/doc/194197>.

@article{Guermond2010,

abstract = {
This paper presents a model based on spectral hyperviscosity for the
simulation of 3D turbulent incompressible flows. One particularity of this
model is that the hyperviscosity is active only at the short velocity scales,
a feature which is reminiscent of Large Eddy Simulation models.
We propose a Fourier–Galerkin approximation of the perturbed
Navier–Stokes equations and we show that, as the cutoff wavenumber
goes to infinity, the solution of the model
converges (up to subsequences) to a weak solution which is dissipative
in the sense defined by Duchon and Robert (2000).
},

author = {Guermond, Jean-Luc, Prudhomme, Serge},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Navier–Stokes equations; turbulence; large Eddy simulation.; convergence; Fourier-Galerkin approximation; weak solution},

language = {eng},

month = {3},

number = {6},

pages = {893-908},

publisher = {EDP Sciences},

title = {Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows},

url = {http://eudml.org/doc/194197},

volume = {37},

year = {2010},

}

TY - JOUR

AU - Guermond, Jean-Luc

AU - Prudhomme, Serge

TI - Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 37

IS - 6

SP - 893

EP - 908

AB -
This paper presents a model based on spectral hyperviscosity for the
simulation of 3D turbulent incompressible flows. One particularity of this
model is that the hyperviscosity is active only at the short velocity scales,
a feature which is reminiscent of Large Eddy Simulation models.
We propose a Fourier–Galerkin approximation of the perturbed
Navier–Stokes equations and we show that, as the cutoff wavenumber
goes to infinity, the solution of the model
converges (up to subsequences) to a weak solution which is dissipative
in the sense defined by Duchon and Robert (2000).

LA - eng

KW - Navier–Stokes equations; turbulence; large Eddy simulation.; convergence; Fourier-Galerkin approximation; weak solution

UR - http://eudml.org/doc/194197

ER -

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