Numerical simulation of aerodynamic problems with a Reynolds stress turbulence model

Abstract

The Speziale-Sarkar-Gatski (SSG) Reynolds stress model is implemented into DLR’s Navier-Stokes solver FLOWer blended with the Wilcox stress-ω model in the near wall region. The length scale is supplied by Menter’s ω-equation. Results for 2D flows are presented for the transonic flow around the RAE 2822 airfoil, Cases 9 and 10, and the Aerospatiale A airfoil at β = 13.3°. Results for 3D flows are shown for the transonic flow around the ONERA M6 wing and the DLR-ALVAST wing-body configuration. Improvements are achieved with respect to predictions with the Wilcox κ-ω model concerning shock positions, trailing edge separation and the pressure distribution near the wing tip due to an improved resolution of the wing tip vortex.