Collection of equations for compressible turbulent flow

Abstract

A collection of equations is presented, describing the turbulent compressible flow in terms of averaged quantities. Summarized are the averaging rules, the RANS equations, the most common forms of turbulence equations, averaged material laws and various forms of the averaged thermodynamic relations. Additionally the maximum eigenvalues of the hyperbolic and parabolic parts of the respective equation systems are given for different types of turbulence models. Formulas for one-dimensional flow are provided that may be useful for computing reference states, while shock wave relations are not subject of this report.