Favre filtering and macro-temperature in large-eddy simulations of compressible turbulence

Filtrage de Favre et macro-température en simulation des grandes échelles de la turbulence compressible

Marcel Lesieur (1) , Pierre Comte (1)

1 LEGI - Laboratoire des Écoulements Géophysiques et Industriels [Grenoble]

We show how Favre density-weighted filtering, used with a macro-temperature, simplifies considerably the formalism of large-eddy simulations in compressible turbulence. The method gives good results for a plane channel at Mach 0.3, and a transonic flow above a rectangular cavity. In both cases, the shedding of -shaped coherent vortices is very well characterized thanks to positive iso-surfaces of , the velocity-gradient tensor second invariant.

Mots clés: instability; turbulence; Favre filtering

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Marcel Lesieur, Pierre Comte. Favre filtering and macro-temperature in large-eddy simulations of compressible turbulence. Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2001, 329 (P179), pp.363-368. ⟨10.1016/S1620-7742(01)01331-9⟩. ⟨hal-00260652⟩