JournalsaihpcVol. 29, No. 2pp. 171–198

Convergence of approximate deconvolution models to the mean Navier–Stokes equations

  • Luigi C. Berselli

    Dipartimento di Matematica Applicata, Università di Pisa, Via F. Buonarroti 1/c, I-56127, Italy

  • Roger Lewandowski

    IRMAR, UMR 6625, Université Rennes 1, Campus Beaulieu, 35042 Rennes cedex, France
Convergence of approximate deconvolution models to the mean Navier–Stokes equations cover
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Abstract

We consider a 3D Approximate Deconvolution Model ADM which belongs to the class of Large Eddy Simulation (LES) models. We aim at proving that the solution of the ADM converges towards a dissipative solution of the mean Navier–Stokes equations. The study holds for periodic boundary conditions. The convolution filter we first consider is the Helmholtz filter. We next consider generalized convolution filters for which the convergence property still holds.

Cite this article

Luigi C. Berselli, Roger Lewandowski, Convergence of approximate deconvolution models to the mean Navier–Stokes equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 29 (2012), no. 2, pp. 171–198

DOI 10.1016/J.ANIHPC.2011.10.001