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Invariant subgrid modelling in large-eddy simulation of heat convection turbulence

Abstract : Symmetries have an important role in turbulence. To some extent, they contain the physics of the equations (conservation laws,...), and it is essential that turbulence models respect them. However , as observed by Oberlack ([16]) and next by Razafindralandy and Hamdouni ([24]) in the case of an isothermal fluid, only few subgrid stress tensor models preserve the symmetries of the Navier-Stokes equations. In this communication, we present the symmetries of the equations of a non-isothermal fluid flow and analyze some common subgrid stress tensor and flux models under the point of view of these symmetries.
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Dina Razafindralandy, Aziz Hamdouni. Invariant subgrid modelling in large-eddy simulation of heat convection turbulence. Theoretical and Computational Fluid Dynamics, Springer Verlag, 2007, 21 (4), pp.231-244. ⟨10.1007/s00162-007-0046-1⟩. ⟨hal-00312284⟩

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