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Incorporating a Discontinuous Galerkin Method into the Existing Vertex-Centered Edge-Based Finite Volume Solver Edge

  • Sven-Erik Ekström
  • Martin Berggren
Conference paper
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, volume 113)

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.

Keywords

Euler Equation Control Volume Discontinuous Galerkin Discontinuous Galerkin Method Dual Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Sven-Erik Ekström
    • 1
  • Martin Berggren
    • 2
  1. 1.Department of Information TechnologyUppsala UniversityUppsalaSweden
  2. 2.Department of Computing ScienceUmeå UniversityUmeåSweden

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