Application of the discontinuous Galerkin method to 3D compressible RANS simulations of a high lift cascade flow

A 3D high-order RANS solver in conservative variables has been developed, based on a discontinuous Galerkin/Symmetric Interior Penalty discretisation. The turbulence model is the well-known one-equation Spalart-Allmaras model. It is shown that in order to stabilise the discretization scheme, it is necessary to adapt the transpose penalty term, which introduces an explicit dependency of the continuity equation on the turbulent viscosity