Slip flow boundary conditions in discontinuous Galerkin discretizations of the Euler equations of gas dynamics

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    Abstract

    Discontinuous Galerkin discretizations of the slip flow boundary condition at curved walls in in- viscid gas dynamics are not very accurate when linear basis functions are combined with elements with straight edges at the boundary. This is particularly true when the boundary integrals are com- puted with a Gauss quadrature rule, but also occurs when the more accurate Taylor quadrature rule is used. The error at the solid surface results in a boundary layer which can significantly pollute the numerical solution. In this paper sources of these problems are analyzed and demonstrated for the subsonic flow about a circular cylinder. It is shown that the use of the recently developed Taylor quadrature rule for the flux integrals in combination with superparametric elements results in more than a factor three reduction in total pressure loss at the wall in comparison with isopara- metric elements and Gauss quadrature. The effects of boundary curvature can also be removed using mesh adaptation. Local mesh refinement of linear isoparametric elements is very effective in reducing the error at slip flow boundaries and provides a good alternative to the use of super- parametric elements. This is possible because it is demonstrated that it is not necessary to use a higher-order boundary representation.
    Original languageUndefined
    Title of host publicationProceedings of the 5th World Congress on Computational Mechanics (WCCM V)
    EditorsH.A. Mang, F.G. Rammenstorfer
    Place of PublicationVienna, Austria
    PublisherNational Aerospace Laboratory, NLR
    Pages1-16
    Number of pages16
    ISBN (Print)3-9501554-0-6
    Publication statusPublished - Jul 2002
    Event5th World Congress on Computational Mechanics, WCCM 2002 - Vienna University of Technology, Vienna, Austria
    Duration: 7 Jul 200212 Jul 2002
    Conference number: 5

    Publication series

    NameTechnical Publications
    PublisherNational Aerospace Laboratory, NLR
    NumberNLR-TP

    Conference

    Conference5th World Congress on Computational Mechanics, WCCM 2002
    Abbreviated titleWCCM V
    CountryAustria
    CityVienna
    Period7/07/0212/07/02
    Other7-12 July 2002

    Keywords

    • METIS-206016
    • EWI-16264
    • IR-72133

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