Abstract: Rapid distortion theory (RDT) is an important tool for modeling turbulent flows. This theory is an analysis of linear stability allowing us to predict behavior of turbulent field in presence of mean strain and in the absence of inertial effects. The aim of this paper is to simulate homogeneous compressible sheared turbulence using RDT. Numerical simulations are carried out with an RDT validated code resolving unsteady linearized equations governing double correlations spectra evolution. These simulations will be sufficient to be used for evaluation of equilibrium states of the compressible models of Fujiwara et al. and Huang et al. concerning pressure-strain correlation. A certain concordance between RDT and models results is observed.

Keywords: Numerical simulation, turbulence, homogeneous, compressible, rapid distortion theory (RDT).