Three-dimensional discontinuous Galerkin codes to simulate viscous flow by spatial discretization of high order and curved elements on unstructured grids

Abstract

The need of high order boundary discretization in case of a high order code, e.g. a Discontinuous Galerkin (DG) Code, has already been demonstrated in the literature. Bassi and Rebay extended the DG method to solve the Navier-Stokes equations for laminar and 3D turbulent flow. In the present paper an extension will be provided to include both three-dimensional flows and curved elements to properly represent three-dimensional bodies with curvature. Some results, like flows around a sphere and around an Onera M6 wing, are calculated and compared with experiments. © 2007 Springer-Verlag Berlin Heidelberg.