NASA Juncture Flow Computation Using Turbulence Models with Quadratic Constitutive Relations

The quadratic constitutive relations (QCRs) are validated through the simulation of the NASA Juncture Flow. QCR2013-V and QCR2024 are combined with the Spalart-Allmaras (SA) and K-omega shear stress transport (SST) models and implemented into flow solvers SU2 and UTCart to cross-validate the results. The results obtained by UTCart underestimate the separation size but show a trend of grid convergence towards those obtained by SU2. Comparing the different QCRs, SA-QCR2013-V overpredicts the separation length by 45% and width by 25%, whereas SA-QCR2024 predicts the sizes within the error range of the reference experiment. Furthermore, the variation in the production term in the K-omega SST turbulence model also influences the prediction of the corner-flow separation, where the production term considering the additional anisotropy effects introduced by the QCR shows the best agreement with the experiment. Also, the simulations at different angles of attack show the separation size is robustly predicted by the SA or K-omega SST model with QCR2024.