Agglomeration Multigrid for the Vertex-Centered Dual Discontinuous Galerkin Method
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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.
KeywordsCoarse Mesh Discontinuous Galerkin Discontinuous Galerkin Method Mesh Level Convergence Acceleration
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- 3.Blazek, J.: Computational Fluid Dynamics, 2nd edn. Elsevier, Amsterdam (2005)Google Scholar
- 4.Ekström, S.-E., Berggren, M.: Incorporating a discontinuous Galerkin method into the existing vertex-centered edge-based finite volume solver Edge. In: Kroll, N., et al. (eds.) ADIGMA. NNFM, vol. 113, pp. 39–52. Springer, Heidelberg (2010)Google Scholar
- 5.Eliasson, P.: EDGE, a Navier–Stokes solver, for unstructured grids. Technical Report FOI-R-0298-SE, Swedish Defence Research Agency (2001)Google Scholar
- 6.FOI. Edge - Theoretical Formulation. Technical Report FOI dnr 03-2870, Swedish Defence Research Agency (2007) ISSN-1650-1942Google Scholar