Partially averaged Navier-Stokes closure modeling for variable-density turbulent flow

We extend the bridging Partially-Averaged Navier-Stokes (PANS) equations model to variable-density flow and develop a scale-dependent closure for complex flows. This includes $a$ $p\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}i$ testing guidelines efficient selection of parameters controlling resolution (range resolved scales). Accuracy is evaluated with simulations two benchmark transitional problems: Taylor-Green Vortex Rayleigh-Taylor flow. The results show that can accurately efficiently predict selected flows while resolving only fraction turbulence field.