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Accurate prediction of mixing transition induced by interfacial instabilitiesis vital for engineering applications, but has remained a great challenge fordecades. For engineering practices, Reynolds-averaged Navier-Stokes simulation(RANS) is the most viable method. However, existing RANS models for mixingproblems are mostly designed for fully developed turbulence, failing to depictthe locally spatio-temporal-dependent characteristic of transition. In thepresent study, the idea of the intermittent factor (denoted as $\gamma$), whichhas been widely used in boundary layer transition in aerospace engineering, isextended to the mixing problems. Specifically, a transport equation for$\gamma$ is built based on local flow variables, which is used to describe thelocally spatio-temporal-dependent characteristic of transition. Furthermore,$\gamma$ is coupled into the widely used K-L turbulent mixing model toconstrain the two key product sources terms that dominate the evolution ofmixing, i.e. the Reynolds stress and the buoyancy effect. Subsequently, thesimulations of two reshocked Richtmyer-Meshkov mixing cases with remarkabletransition effects confirm that the proposed model has a good performance forpredicting mixing transition. To the best of our knowledge, it is the firststudy that an extra transport equation for intermittent factor has beenproposed for a RANS mixing transition model. More importantly, the presentmodeling framework is flexible and has the potential to be applied to otherRANS models. It provides a promising strategy for more advanced modeling formixing transition.

A local intermittency based Reynolds-averaged transition model for turbulent mixing induced by interfacial instabilities