Compressible turbulence

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

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: $p'$, $\rho T''$ and $\rho'$ are related by a polytrope. Thus, there is only one free parameter, the polytropic index $m$. This can be contrasted with the incompressible treatments which contain several adjustable parameters.

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