Discontinuous Galerkin finite element method for shallow two-phase flows

Sander Rhebergen, Onno Bokhove, Jacobus J.W. van der Vegt

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    Abstract

    We present a discontinuous Galerkin finite element method for two depth-averaged two-phase flow models. One of these models contains nonconservative products for which we developed a discontinuous Galerkin finite element formulation in Rhebergen et al. (2008) J. Comput. Phys. 227, 1887-1922. The other model is a new depth-averaged two-phase flow model we introduce for shallow two-phase flows that does not contain nonconservative products. We will compare numerical results of both models and qualitatively validate the models against a laboratory experiment. Furthermore, because of spurious oscillations that may occur near discontinuities, a WENO slope limiter is applied in conjunction with a discontinuity detector to detect regions where spurious oscillations appear.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherNumerical Analysis and Computational Mechanics (NACM)
    Number of pages34
    Publication statusPublished - Aug 2008

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.DTR08-9/1873
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • METIS-251114
    • MSC-76M10
    • MSC-35L65
    • MSC-76T99
    • MSC-35Q35
    • EWI-13138
    • IR-64904
    • MSC-65M60

    Cite this

    Rhebergen, S., Bokhove, O., & van der Vegt, J. J. W. (2008). Discontinuous Galerkin finite element method for shallow two-phase flows. Enschede: Numerical Analysis and Computational Mechanics (NACM).