A turbulence model for the pressure-strain correlation term accounting for the effect of compressibility

Abstract

Experimental studies show that the growth rate of compressible mixing layers is reduced with the increasing Mach number. The reduced growth rate is believed to be due to the effect of compressibility on turbulence. DNS databases of compressible mixing layers show that reduced pressure fluctuations are responsible for the changes in growth rate via the pressure-strain correlation term. In this parer, a turbulence model for the pressure-strain correlation term in which compressibility effect is included is derived. The derived model is used to simulate compressible mixing layers, showing that the model predicts the reduced growth rate which is often observed in experimental studies.