Evaluation of augmented RSM for interaction of homogeneous turbulent mixture with shock and rarefaction waves

Abstract

Interaction of shock or rarefaction waves with turbulent mixtures is challenging for turbulence models. A recent article has shown how results from linear interaction analysis (LIA) can be synthesised into transfer matrices relating upstream and downstream second-order turbulent correlations. These results have been obtained in the limit of axisymmetric weakly turbulent mixture. The current article is devoted to the evaluation of three augmented Reynolds stress models (RSMs) for the same kinds of interaction with weakly turbulent mixtures. Corrections aimed at improving the compatibility with LIA are finally proposed for one of these RSMs.

Keywords:

• Reynolds stress model
• turbulence modelling
• shock/turbulence interaction
• rarefaction/turbulence interaction
• linear interaction analysis