Investigation on Discontinuous Galerkin Solvers for Different Simulations

Discontinuous Galerkin(DG) method has been successfully used in time dependent simulations. This paper will investigate DG solvers for di_erent simulations. They are compressible flow and electromagnetic wave simulations. The compressible flow simulation needs to solve the Euler equation, while electromagnetic wave simulation needs to solve the Maxwell's equations. Two solvers have been studied in deep separately. All solvers apply domain decomposition method for the parallelization, and they both show the advantages of DG method: easy parallelization and good scalability. Verifications will be shown on simple geometries in detail for both cases, and at last a wakefield simulation ha been shown with electromagnetic time domain solver.