Numerical Calibration of Turbulent Compressible Models Using Rapid Distortion Theory

The study of compressible homogeneous shear flows has been largely analyzed in literature. Predictions for these flows require an improvement of existing turbulence models. Rapid-distortion-theory (RDT) has largely showed its relevance and its utility to identify compressibility effects which allow us to analyze performances of compressible turbulence models from the existing literature. This paper describes an evaluation of two models of homogeneous compressible turbulence by comparison with RDT results in compressible regime of flow. This model evaluation stays in the field of RDT validity. Precisely, the manuscript deals with two pressure-strain correlation models developed by Hamba and Marzougui et al. Linear parts of these models do not correctly predict compressible turbulence. A numerical calibration of coefficients included in these models provides broadly a net improvement with RDT results.