A compressible turbulence model for the pressure-strain correlation

Abstract

Recent DNS (Direct Numerical Simulation) results indicate that the main compressibility effect comes from the reduced pressure-strain term due to reduced pressure fluctuations. Using the concept of moving equilibrium in compressible homogeneous shear flow, we develop a new compressible pressure strain model by modifying the incompressible linear pressure-strain model, which is characterized by a decrease in the primary redistribution term but an increase in the secondary redistribution term. The model was applied to a compressible mixing layer. The predicted results show that the growth rate is reduced with increasing convective Mach number and the Reynolds stresses are reduced. All the components of the pressure-strain term and the shear stress anisotropy are reduced with the increase of the compressibility, whereas the normal stress anisotropy is increased-then results are in accord with experimental and DNS results.