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Analysis of subgrid models of heat convection by symmetry group theory

Abstract : Symmetries, i.e transformations which leave the set of the solutions of the equations unchanged, play an important role in turbulence (conservation laws, wall laws, ...). They should not be destroyed by turbulence models. The symmetries of the heat convection equations are then presented, for a non-isothermal fluid. Next, the subgrid stress tensor and flux models are analyzed, using the symmetry approach.
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Dina Razafindralandy, Aziz Hamdouni. Analysis of subgrid models of heat convection by symmetry group theory. Comptes Rendus Mécanique, Elsevier, 2007, 335 (n.a.), pp.225-230. ⟨hal-00312283⟩

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