RDT study of non-isentropic compressible homogeneous sheared turbulence

The objective of this work is to formulate governing equations for non-isentropic compressible homogeneous sheared turbulence using rapid distortion theory (RDT). Furthermore, we develop a code able to solve these linearized equations. It is possible for this code to address both kinematic and thermal properties i.e. mass density, temperature variances, mass and heat fluxes which are the specific properties of compressible turbulence. RDT code resolves directly evolution equations of two-point spectral correlation. The results of our RDT code are compared with the direct numerical simulation data of Simone et al (1997) and have demonstrated good agreement. The comparisons concern different contributions such as the kinetic turbulent energy, the temporal energy growth rate, the non-dimensional production term, the solenoidal and dilatational contributions of non-dimensional production and the sum of pressure-dilatation terms and rate of kinetic energy dissipation, scaled by the production term. Some results concerning the polytropic coefficient and the energy partition parameter are presented and discussed.