A high-order discontinuous galerkin chimera method for the euler and navier-stokes equations

Abstract

In this article a non-conservative Chimera method for the Euler and Navier-Stokes equations is introduced. The CFD solver for the Chimera method is based on a high-order Discontinuous Galerkin formulation and employs modal basis functions. As the method features at least two different grids, interpolation operators have to be defined between the two grids which is achieved by a discrete projection. A detailed description of the adaption of the temporal integration schemes is given and their implementation is validated for the explicit and implicit schemes against results using only a single grid.