Discontinuous Galerkin finite element method for shallow two-phase flows

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

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    9 Citations (Scopus)


    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
    Article number10.1016/j.cma.2008.10.019
    Pages (from-to)819-830
    Number of pages12
    JournalComputer methods in applied mechanics and engineering
    Issue number5-8
    Publication statusPublished - 2009


    • EWI-14851
    • MSC-65M60
    • MSC-76M10
    • MSC-76T99
    • MSC-35L65
    • MSC-35Q35
    • IR-62686
    • Discontinuity detector
    • Discontinuous Galerkin finite element methods
    • Nonconservative products
    • slope limiter
    • METIS-263715
    • Multiphase Flows

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