An approximate Riemann solver to compute compressible flows using second-moment closures

An approximate Riemann solver is presented in this contribution, which enables to compute turbulent compressible flows using an objective realisable second order closure. The main features of the continuous model are first recalled. An entropy inequality is exhibited, and the structure of waves associated with the non conservative hyperbolic convective system is briefly described. Using a linear path to connect states through shocks, a result of...