Discontinuous Galerkin discretization on polyhedral meshes for CFD

Among recent approaches to high-order discretizations on polyhedral meshes, physical frame Discontinuous Galerkin (DG) dicretizations are an effective means to deal with mesh elements of very general shape. In this presentation I will focus on basics features and implementation issues of the DG discretization on polyhedral meshes for the advection-diffusion and Navier-Stokes equations. This approach provides several important characteristics, like high-order accuracy on arbitrarily shaped elements, agglomeration-based h-adaptivity, accurate boundary discretization via agglomeration of standard grids, h-multigrid solution capability, ..., at the cost of a substantial effort for numerical integration. Examples of applications to CFD problems will illustrate the capabilities of the DG discretization for polyhedral meshes. Referenti: paola.antonietti@polimi.it ---- nicola.parolini.polimi.it