Reynolds-stress-transport modeling for compressible aerodynamics applications

Progress is reported in the development of a nonlinear Reynolds-stress-tran sport model for compressible, turbulent flow. The focus is on a variation o f a particular cubic model that does not require the usual topography-relat ed parameters, such as normal-to-wall vectors. However, certain wall-proxim ity corrections that have been used in the model to replace conventional wa ll-reflection terms display the wrong response to shocks, which are falsely interpreted as localized regions of strong inhomogeneity. A modified cubic variant is proposed that allows integration across the semiviscous sublaye r and incorporates additional constraints to guard against unphysical respo nse of the pressure-strain model in the vicinity of shock waves. The modifi ed model is applied to both two- and three-dimensional compressible flows, involving shock-wave/boundary-layer interaction, and is shown to yield gene rally favorable results.