Analysis of a turbulence model related to that of k-epsilon for stationary and compressible flows

TL;DR

This paper investigates a turbulence model called θ-φ, related to the k-epsilon model, establishing mathematical properties like existence, positivity, and regularity for compressible flows.

Contribution

It introduces and analyzes a new turbulence model for compressible flows, providing rigorous mathematical results on its properties.

Findings

Proved existence of solutions for the θ-φ turbulence model

Established positivity of the solutions

Demonstrated regularity under general conditions

Abstract

We shall study a turbulence model arising in compressible fluid mechanics. The model called $\theta - \phi$ we study is closely related to the k-epsilon model. We shall establish existence, positivity and regularity results in a very general framework.