Although hydrodynamic turbulence and shock formation have been treated separately in previous literature, both are characterized by an energy cascade from large to small scales due to nonlinear interactions. Therefore, the numerical simulation of both phenomena could be treated in a similar fashion, that is by solving the filtered compressible Navier-Stokes equations.
In this talk, Victor Sousa will discuss a new perspective on closures for filtered governing equations that allows for a unified framework for shock capturing and subfilter turbulence modeling. This concept will be fully explored for high-order numerical implementations based on finite-differences and results will demonstrate the combined capability of simulating shocks and turbulence independently, as well as simultaneously. Following, an extension to discontinuous flux reconstructions methods will be analyzed with initial focus given to shock-dominated flows. Ultimately, time permitting, Victor Sousa will discuss the application of the developed subfilter closure to simulations of hypersonic boundary layer transition.