High-order methods in CFD - The discontinuous Galerkin approach

Since computational fluid dynamics CFD is no longer used by only a handful of experts but has become a mainstream tool, a lot of work has been done to improve the robustness of the simulation software. Additionally besides an efficient parallelization that takes advantage of modern computer architecture, the request for high-order accuracy becomes more and more important. After a short description of the interior penalty discontinuous Galerkin method, several specific aspects of turbulent flows that affect the stability of the numerical method are discussed. The efficiency of the method is illustrated by a turbulent flat plate, a three component aerofoil and a 3D cascade flow.