A hybridized discontinuous Galerkin method for three-dimensional compressible flow problems

We present a hybridized discontinuous Galerkin method for three-dimensional flow problems. As an implementation technique hybridization is a classic paradigm for dual-mixed finite element discretizations. Hybridization of finite element discretizations has the main advantage, that the resulting set of algebraic equations has globally coupled degrees of freedom only on the skeleton of the numerical mesh. Solving for these thus involves the solution of a potentially much smaller system. This not only reduces storage requirements, but also allows for a faster solution with iterative solvers. The accuracy of the method has been validated with a scalar convection-diffusion test case. Results are shown for external, compressible flow.

Duke Scholars

Author Georg May DKU Faculty