Improvements to the Quadratic Constitutive Relation Based on NASA Juncture Flow Data

Abstract

Modifications to the quadratic constitutive relations (QCRs) of Spalart (“Strategies for Turbulence Modelling and Simulation,” International Journal of Heat and Fluid Flow, Vol. 21, 2000, pp. 252–263) and Mani et al. (“Predictions of a Supersonic Turbulent Flow in a Square Duct,” AIAA Paper 2013-0860, Jan. 2013) are proposed. These modifications result from computational fluid dynamics (CFD) studies in the FUN3D and OVERFLOW solvers of the flowfield in the body boundary layer and near-corner region of the NASA Juncture Flow model. When used in conjunction with the Spalart–Allmaras turbulence model with rotation/curvature correction, the new relations improve the CFD Reynolds normal stress predictions, as compared with the experiment. This improvement leads to better predictions of separated corner flow behavior across a wide range of angles of attack that were measured, somewhat beyond the original QCR effect. The model’s performance in a square duct, driven by turbulence-induced vortices, is slightly improved. The QCR remains fairly simple to program and compatible with other eddy-viscosity models.