Two-point evolution equations for incompressible variable density turbulence

TL;DR

This paper derives exact two-point equations for incompressible variable density turbulence, providing a foundation for advanced spectral and statistical turbulence modeling.

Contribution

It introduces the derivation of exact two-point equations for variable density turbulence, facilitating improved spectral modeling approaches.

Findings

Derived exact two-point equations for variable density turbulence

Identified key statistical correlations for turbulence modeling

Provides basis for spectral turbulence models

Abstract

A derivation of the "exact" two-point equations analogous to those used as a basis for one-point Reynolds-Averaged Navier-Stokes turbulence model for variable density, incompressible turbulence. The purpose is to present the statistical correlations that must be dealt with to yield a two-point, or alternatively, a spectral model of variable density turbulence.