Abstract The discontinuous Galerkin (DG) method can be viewed as a generalization to higher orders of the finite volume method. At lowest order, the standard DG method reduces to the cell-centered finite volume method.We introduce for the Euler equations an alternative DG formulation that reduces to the vertex-centered version of the finite volume method at lowest order. The method has been successfully implemented for the Euler equations in two space dimensions, allowing a local polynomial order up to p=3 and supporting curved elements at the airfoil boundary. The implementation has been done as an extension within the existing edge-based vertex-centered finite-volume code Edge.


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    Agglomeration Multigrid for the Vertex-Centered Dual Discontinuous Galerkin Method

    Ekström, Sven-Erik / Berggren, Martin | Springer Verlag | 2010


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    Ota, Dale / Kabakian, Adour / Munipalli, Ramakanth et al. | AIAA | 2006