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

Abstract

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 $\text{Λ}$-shaped coherent vortices is very well characterized thanks to positive iso-surfaces of $\text{Q}$, the velocity-gradient tensor second invariant.