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

  • Conference paper
ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 113))

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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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Author information

Authors and Affiliations

  1. Department of Information Technology, Uppsala University, Box 337, SE-751 05, Uppsala, Sweden

    Sven-Erik Ekström

  2. Department of Computing Science, Umeå University, SE-901 87, Umeå, Sweden

    Martin Berggren

Authors
  1. Sven-Erik Ekström
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  2. Martin Berggren
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Editor information

Editors and Affiliations

  1. German Aerospace Center (DLR), Braunschweig, Germany

    Norbert Kroll

  2. Airbus Deutschland GmbH, Bremen, Germany

    Heribert Bieler

  3. von Karman Institute for Fluid Dynamics (VKI), Rhode-St-Genese, Belgium

    Herman Deconinck

  4. ONERA, Châtillon, France

    Vincent Couaillier

  5. NLR, Amsterdam, The Netherlands

    Harmen van der Ven

  6. EADS Deutschland, Manching, Germany

    Kaare Sørensen

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Ekström, SE., Berggren, M. (2010). Incorporating a Discontinuous Galerkin Method into the Existing Vertex-Centered Edge-Based Finite Volume Solver Edge. In: Kroll, N., Bieler, H., Deconinck, H., Couaillier, V., van der Ven, H., Sørensen, K. (eds) ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03707-8_4

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  • DOI: https://doi.org/10.1007/978-3-642-03707-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03706-1

  • Online ISBN: 978-3-642-03707-8

  • eBook Packages: EngineeringEngineering (R0)

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