Differential Reynolds-Stress Modeling for Aeronautics

A comparison of two differential Reynolds-stress models for aeronautical flows is presented. The model herein combines the Speziale-Sarkar-Gatski pressure-strain model with the Launder-Reece-Rodi model toward the wall, where the length scale is supplied by Menter's baseline equation. The epsilon h model from Jakirli and Hanjali has been particularly designed for representing the correct near-wall behavior of turbulence and has been adapted to aeronautical needs. Its length scale is provided by a transport equation for the homogeneous part of the dissipation rate. The models are applied to a series of test cases relevant to aeronautics, showing improved predictions compared to eddy-viscosity models particularly in case of axial vortices.