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

In the present paper some of the recent theoretical developments in compressible 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-dilatation is modeled according to Sarkar's model; and the ''Favre'' contribution has been modeled with a gradient law. The model also accounts for compressibility effects on the von Karman's constant and on the turbulence length scale, which affects the heating rates. A study of hypersonic boundary-layer flows and shock-wave/boundary-layer interactions shows that the effects of compressibility depend on the flow complexity.