Compressible Turbulence

Abstract

Contrary to the incompressible case, where the Reynolds stress formalism has reached a high degree of sophistication with successful applications to a variety of turbulent flows, in the compressible case it has not reached the same degree of development. The purpose of this paper is to present as complete as possible a Reynolds stress formalism to treat compressible, time dependent, stratified flows. The whole treatment contains one assumption: p, ρT and ρ are related by a poly trope. Thus, there is only one free parameter, the polytropic index m. This can be contrasted with the incompressible treatments which contain several adjustable parameters.