Key words: Compressible turbulence, Pressure-strain correlation, Homogeneous shear flow .

Abstract: Several DNS results show that compressibility has an important effect on the pressure-strain correlation, the termrecognized as the principal responsible for the change in the magnitude of Reynolds-stress anisotropies. Thus, the pressure-strainincompressible models do not correctly predict compressible turbulence at high-speed shear flow. A method of includingcompressibility effects in the pressure strain correlation is the subject of the present study. The LRR model developed byLaunder-Reece and Rodi has shown a great success in the simulating a variety of incompressible complex turbulent flows. On theother hand this model has not predicted correctly the compressible turbulence at high speed shear flow. Thus, a compressiblecorrection for this model is the major aim of this study. In the present work, five recent compressible models for the pressure-straincorrelation have been used to modify the LRR model. This correction concerns essentially the C1, C2, C3 and C4 coefficients which became in a compressible situation a function of the turbulent Mach number.