Agglomeration multigrid for the vertex-centered dual discontinuous Galerkin method

Abstract

Agglomoration multigrid is used in many finite-volume codes for aerodynamic computations in order to reduce solution times. We show that an existing agglomeration multigrid solver developed for equations discretized with a vertex-centered, edge-based finite-volume scheme can be extended to accelerate convergence also for a vertex-centered discontinuous Galerkin method. Preliminary results for a subsonic as well as a transonic test case for the Euler equations in two space dimensions show a significant convergence acceleration for the discontinuous Galerkin equations using the agglomoration multigrid strategy. © 2010 Springer-Verlag Berlin Heidelberg.