Space-time discontinuous Galerkin method for compressible flow

Abstract

The space-time discontinuous Galerkin method allows the simulation of compressible flow in complex aerodynamical applications requiring moving, deforming and locally refined meshes. This thesis contains the space-time discretization of the physical model, a fully explicit solver for the resulting system of algebraic equations and all the necessary details for their implementation. The feasibility of the method is illustrated with various simulations, including the flow around a 3D delta wing and the dynamic stall of an airfoil in rapid pitch-up maneuvre