Turbulence modeling and Detached Eddy simulation with a high-order unstructured discontinuous Galerkin code

Abstract

In the present paper a high-order Discontinuous Galerkin method is presented for the numerical simulation of the separated turbulent flow around complex geometries using unstructured grids. Bassi and Rebay extended the Discontinuous Galerkin method to solve the Navier-Stokes equations for laminar and 3D turbulent flows. Especially, an extension will be provided to calculate unsteady separated flows with a Detached Eddy Simulation, which is a hybrid method between the Unsteady Reynolds averaged Navier-Stokes approach and the Large Eddy Simulation. Some results, like flows over a flat plate and around a sphere, which could not be predicted with an Unsteady Reynolds averaged Navier-Stokes calculation, are calculated with high accuracy and compared with theory and experiments. © 2010 Springer-Verlag Berlin Heidelberg.