| Issue |
ESAIM: M2AN
Volume 37, Number 6, November-December 2003
|
|
|---|---|---|
| Page(s) | 893 - 908 | |
| DOI | https://doi.org/10.1051/m2an:2003060 | |
| Published online | 15 November 2003 | |
Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows
1
LIMSI (CNRS-UPR 3152), BP 133, 91403, Orsay, France. guermond@limsi.fr.
2
ICES, formerly TICAM,
The University of Texas at Austin, TX 78712, USA
3
On leave at Universidad de los Andes, Bogotá, Colombia.
serge@ices.utexas.edu.
Received:
27
March
2003
Revised:
1
July
2003
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).
Mathematics Subject Classification: 35Q30 / 65N35 / 76M05
Key words: Navier–Stokes equations / turbulence / large Eddy simulation.
© EDP Sciences, SMAI, 2003
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