HIGH-SPEED TURBULENCE MODELING OF SHOCK-WAVE BOUNDARY-LAYER INTERACTION

In the present paper some of the recent theoretical developments in co mpressible turbulence modeling are analyzed, and a model that accounts for compressibility and low Reynolds-number effects is developed. The leading compressibility terms have been identified in the dilatation- dissipation, pressure-dilatation, and the scalar product of the Favre velocity and mean pressure gradient. For the dilatation-dissipation a model similar to that of Zeman has been assumed; the pressure-dilatati on is modeled according to Sarkar's model; and the ''Favre'' contribut ion has been modeled with a gradient law. The model also accounts for compressibility effects on the von Karman's constant and on the turbul ence length scale, which affects the heating rates. A study of hyperso nic boundary-layer flows and shock-wave/boundary-layer interactions sh ows that the effects of compressibility depend on the flow complexity.