Deterministic numerical simulation of turbulence

We first present techniques of large-eddy simulation (LES) in physical and Fourier spaces. We show how LES allows vortex control in mixing layers, and good prediction of velocity statistics in a turbulent channel. We study al so in a developed boundary layer the dynamics of high- and low-speed streak s at the wall, and the associated pressure fluctuations. Following this, we show in rotating shear flows a universal behaviour of the mean velocity in regions whose local Rossby number is strictly inferior to -1. Finally, we present for LES of compressible flows a formalism based on Favre averages. (C) Academie des sciences/Elsevier, Paris.