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A dynamical approach to large eddy simulation of turbulent flows: existence of weak solutions
Authors:Agnieszka wierczewska
Institution:Agnieszka ?wierczewska
Abstract:We consider a system of equations coming from turbulence models using a large eddy simulation (LES) technique. The idea of this approach bases on decomposing the velocity into a part containing large flow structures and a part consisting of small scales. The equations for large‐scale quantities are derived from the Navier–Stokes equations with an additional constitutive relation for the contribution of small eddies. The mathematical difficulties in this paper focus on the non‐linear and non‐local turbulent term. Copyright © 2005 John Wiley & Sons, Ltd.
Keywords:non‐local operators  large eddy simulation  Smagorinsky model  dynamic Germano model  Young measures
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