Discontinuous Galerkin for Turbulent Flows

The purpose of this chapter is to present all the relevant features of a high-order DG method developed over the years for the numerical solution of the RANS and k-w equations. The method has been implemented using orthogonal and hierarchical modal shape functions defined in the real space. The code can handle hybrid grids consisting of tetrahedra, prisms, pyramids and hexahedra. Implicit time integration is applied to the fully coupled RANS and k-w equations, both for steady and unsteady computations. A directional shock-capturing term, proportional to the inviscid residual, is employed to control oscillations around shocks. Most of the numerical results presented in this chapter have been computed within the EU-funded ADIGMA project to investigate the capability of the method for aeronautical applications.