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

Jean Luc Guermond*, Serge Prudhomme

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


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).

Original languageEnglish (US)
Pages (from-to)893-908
Number of pages16
JournalMathematical Modelling and Numerical Analysis
Issue number6
StatePublished - Nov 2003


  • Large Eddy simulation
  • Navier-Stokes equations
  • Turbulence

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Modeling and Simulation
  • Computational Mathematics
  • Applied Mathematics

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