Computational method for turbulent supersonic flows

Some distinctions of calculation of turbulent flows described by Reynolds equations and two-equations model of turbulence are considered for a high order explicit Godunov's method. Based on these distinctions new version of a high order Godunov's method is developed for calculation of compressible turbulent flows.
To illustrate of capabilities of new method some results are shown for a supersonic turbulent jet with complex discontinuities structure and for separated flow in a plane nozzle.