Error estimates in approximate deconvolution models

Argus Adrian Dunca (1) , Roger Lewandowski (2, 3)

1 Department of Mathematics and Computer Science [Bucharest]
2 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences
3 IRMAR - Institut de Recherche Mathématique de Rennes

We consider general Approximate Deconvolution Models (ADM). We estimate the error modeling as a function of the residual stress $\tau_N$ and we compute the rate of convergence to the mean Navier-Stokes Equations in terms of the deconvolution order $N$.

Mots clés: Navier-Stokes equations; Large eddy simulation; Deconvolution models

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Argus Adrian Dunca, Roger Lewandowski. Error estimates in approximate deconvolution models. Communications in Mathematical Sciences, 2013, pp.11. ⟨hal-00675968⟩