A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    Abstract

    A method to numerically solve the Euler equations for fluids with general equations of state is presented. It is based on a formulation solving the conservation equations for either pressure primitive variables or entropy variables, instead of the commonly used conservation variables. We use a space-time discontinuous Galerkin finite-element discretization, which yields a highly local, potentially higher-order scheme. The algorithm is applied to test cases for compressible fluids to demonstrate its capabilities and the performance of the different variable sets.
    Original languageUndefined
    Title of host publicationProceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006
    EditorsP. Wesseling, E Onate, J. Periaux
    Place of PublicationDelft
    PublisherDelft University of Technology
    Pages-
    Number of pages8
    ISBN (Print)90-9020970-0
    Publication statusPublished - Sep 2006
    Event4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006 - Egmond aan Zee, Netherlands
    Duration: 5 Sep 20068 Sep 2006
    Conference number: 4

    Publication series

    Name
    PublisherTU Delft
    Number2

    Conference

    Conference4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006
    Abbreviated titleECCOMAS ECFD
    CountryNetherlands
    CityEgmond aan Zee
    Period5/09/068/09/06

    Keywords

    • METIS-238014
    • IR-65616
    • EWI-2772

    Cite this

    Pesch, L., & van der Vegt, J. J. W. (2006). A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. In P. Wesseling, E. Onate, & J. Periaux (Eds.), Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006 (pp. -). Delft: Delft University of Technology.
    Pesch, L. ; van der Vegt, Jacobus J.W. / A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006. editor / P. Wesseling ; E Onate ; J. Periaux. Delft : Delft University of Technology, 2006. pp. -
    @inproceedings{17f6954e0ea4426e91dc46138f6fdc85,
    title = "A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables",
    abstract = "A method to numerically solve the Euler equations for fluids with general equations of state is presented. It is based on a formulation solving the conservation equations for either pressure primitive variables or entropy variables, instead of the commonly used conservation variables. We use a space-time discontinuous Galerkin finite-element discretization, which yields a highly local, potentially higher-order scheme. The algorithm is applied to test cases for compressible fluids to demonstrate its capabilities and the performance of the different variable sets.",
    keywords = "METIS-238014, IR-65616, EWI-2772",
    author = "L. Pesch and {van der Vegt}, {Jacobus J.W.}",
    year = "2006",
    month = "9",
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    isbn = "90-9020970-0",
    publisher = "Delft University of Technology",
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    Pesch, L & van der Vegt, JJW 2006, A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. in P Wesseling, E Onate & J Periaux (eds), Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006. Delft University of Technology, Delft, pp. -, 4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006, Egmond aan Zee, Netherlands, 5/09/06.

    A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. / Pesch, L.; van der Vegt, Jacobus J.W.

    Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006. ed. / P. Wesseling; E Onate; J. Periaux. Delft : Delft University of Technology, 2006. p. -.

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    N2 - A method to numerically solve the Euler equations for fluids with general equations of state is presented. It is based on a formulation solving the conservation equations for either pressure primitive variables or entropy variables, instead of the commonly used conservation variables. We use a space-time discontinuous Galerkin finite-element discretization, which yields a highly local, potentially higher-order scheme. The algorithm is applied to test cases for compressible fluids to demonstrate its capabilities and the performance of the different variable sets.

    AB - A method to numerically solve the Euler equations for fluids with general equations of state is presented. It is based on a formulation solving the conservation equations for either pressure primitive variables or entropy variables, instead of the commonly used conservation variables. We use a space-time discontinuous Galerkin finite-element discretization, which yields a highly local, potentially higher-order scheme. The algorithm is applied to test cases for compressible fluids to demonstrate its capabilities and the performance of the different variable sets.

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    Pesch L, van der Vegt JJW. A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. In Wesseling P, Onate E, Periaux J, editors, Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006. Delft: Delft University of Technology. 2006. p. -