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NEW TURBULENCE MODELS PRESERVING SYMMETRIES

Dina Razafindralandy
Chair of Fluid Dynamics Department of Mechanical Engineering Technische Universitat Darmstadt Hochschulstr. 1, D-64289 Darmstadt, Germany

Aziz Hamdouni
LEPTAB, Pole Sciences et Technologie Universite de La Rochelle Av. Michel Crepeau, 17042 La Rochelle Cedex 1, France

Martin Oberlack
Chair of Fluid Dynamics, Dept. Mech. Eng., TU Darmstadt, Otto-Berndt-Str. 2, 64287 Darmstadt, Germany; Center of Smart Interfaces, TU Darmstadt, Germany; GS Computational Engineering, TU Darmstadt, Germany

Abstract

Some subgrid turbulence models are analysed according to the symmetry group of the Navier−Stokes equations. Since a major part of them destroy the symmetry properties of the equations, a new class of subgrid models is proposed. These new models are expected to restore the fundamental physical properties of the equations (conservation laws, scaling laws, ...) which are contained in the symmetries. Moreover, the derived models are conform with the second law of thermodynamics. A numerical test is presented.