Three dimensional Navier-Stokes calculation of a shock-wave boundary-layer interaction with a κ-Ε turbulence model

This paper deals with the numerical simulation of a shock-wave turbulent boundary layer interaction in a three-dimensional channel by solution of the Reynolds averaged Navier-Stokes equations wiht a K-Ε turbulence model. The numerical method is characterized by an explicit finite-volume scheme associated wiht a multigrid convergence acceleration stage. Since the flow has a very complex three-dimensional structure with large sparation zones, as those occuring in turbomachinery, it is well suited to the validation of turbulensce model implemented in Navier-Stokes codes. Comparison with experimental data shows a good agreement with the fundamental features of the flow. Comparison with an algebraic mixing length model calculation proves the clear superiority of this two transport equation model of turbulence.