hp Discontinuous Galerkin Method for Computational Aeroacoustics

Discontinuous Galerkin Method is commonly used for Computational Waves. It presents a good settlement to solve problems with complex boundary conditions around complex geometries with an accurate numerical precision. Its mathematical foundations are well establish, the method, based on a variational formulation is robust and stability properties are demonstrated. The use of unstructured meshes is possible, thus complex industrial geometries are easily introduced and mesh adaptation is also possible. Programs are easy to parellelize and have good performance on recent super computers (cluster). The Discontinuous Galerkin Method presents a high flexibility. Each cell (element) may be locally profiled with a particular physical model, a particular functional basis... A 2D application dealing with acoustic propagation inside an air-plane engine is presented. It validates and confirms the tremendous potential and the high interest of the flexibility still slightly explored. Finally, a 3D application is presented and shows the method can cope with industrial problem and run on parallel computers.