Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and k-w turbulence model equations

Discontinuous Galerkin methods, originally developed in the advective case, have been successivelyextended to advection–diffusion problems, and are now used in very diverse applications. We here considerthe numerical solution of the compressible Reynolds-averaged Navier–Stokes and k–w turbulence modelequations by means of DG space discretization and implicit time integration. Detailed description of theDG discretization of the viscous part of the equations and of several implementation details of the k–wturbulence model are given. To assess the performance of the proposed methodology we present the resultsobtained in the computation of the turbulent flow over a flat plate and of the turbulent unsteady wakedeveloping behind a turbine blade.