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A dynamical approach to large eddy simulation of turbulent flows: existence of weak solutions
Author(s) -
Świerczewska Agnieszka
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.667
Subject(s) - eddy , turbulence , mathematics , large eddy simulation , focus (optics) , flow (mathematics) , relation (database) , statistical physics , scale (ratio) , term (time) , turbulence modeling , constitutive equation , classical mechanics , mathematical analysis , mechanics , physics , geometry , computer science , thermodynamics , optics , quantum mechanics , database , finite element method
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.