A Kolmogorov-Like Exact Relation for Compressible Polytropic Turbulence

TL;DR

This paper derives an exact relation for two-point correlation functions in high Reynolds number compressible polytropic turbulence, extending classical turbulence theory to more complex, compressible flows.

Contribution

It introduces a Kolmogorov-like exact relation specifically for compressible polytropic turbulence, a novel extension of turbulence theory.

Findings

Derivation of an exact relation for correlation functions

Extension of turbulence theory to compressible polytropic flows

Applicable in high Reynolds number regimes

Abstract

Compressible hydrodynamic turbulence is studied under the assumption of a polytropic closure. Following Kolmogorov, we derive an exact relation for some two-point correlation functions in the asymptotic limit of a high Reynolds number.