Improvement of Corner Flow Prediction Using the Quadratic Constitutive Relation

Abstract

This paper presents results of the implementation of Spalart’s quadratic constitutive relation into the Reynolds-averaged Navier–Stokes equations on two applications encountered in applied aerodynamics. These applications, one in external flow and one in internal flow, are intended to be representative of the problem of corner flow simulation, with the corner separation size being generally overestimated by classical turbulence models. The first application is the DLR-F6 wing/body configuration used in the Drag Prediction Workshop, where a separation occurs at the wing/body junction in the case without fairing. The second application is the shock-induced separation in a rectangular duct. It is shown that the quadratic constitutive relation greatly improves the accuracy of the junction flow simulation without worsening the quality of the solution elsewhere.