Convergence of approximate deconvolution models to the mean Navier–Stokes equations |
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Authors: | Luigi C Berselli Roger Lewandowski |
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Institution: | 1. Dipartimento di Matematica Applicata, Università di Pisa, Via F. Buonarroti 1/c, I-56127, Italy;2. IRMAR, UMR 6625, Université Rennes 1, Campus Beaulieu, 35042 Rennes cedex, France |
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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. |
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Keywords: | 76D05 35Q30 76F65 76D03 |
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