AN IMMERSED BOUNDARY APPROACH WITH MULTIGRID ACCELERATION FOR HIGH ORDER DISCONTINUOUS GALERKIN SOLVERS

This work describes the implementation of the Immersed Boundary Method (IBM) in a high order discontinuous Galerkin framework for the CFD solver Horses3D [1]. High order schemes are very attractive due to their low numerical dissipation, their capability of providing high-accurate solutions and higher efficiency for a given level of accuracy with respect to low order schemes. However, the generation of high order meshes needed by these schemes is still a bottleneck since it requires a large amount of time. IBM tries to tackle the problem by preserving the high order beneficial properties while avoiding the generation of complex meshes.