Space-time discontinuous Galerkin method for large amplitude nonlinear water waves

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    Abstract

    A space-time discontinuous Galerkin (DG) finite element method for nonlinear water waves in an inviscid and incompressible fluid is presented. The space-time DG method results in a conservative numerical discretization on time dependent deforming meshes which follow the free surface evolution. The dispersion and dissipation errors of the scheme are investigated and the algorithm is demonstrated with the simulation of waves generated by a wave maker.

    Original languageEnglish
    Title of host publicationComputational Fluid Dynamics 2006
    Subtitle of host publicationProceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD, Ghent, Belgium, 10-14 July 2006
    EditorsHerman Deconinck, E. Dick
    Pages53-58
    Number of pages6
    ISBN (Electronic)978-3-540-92779-2
    DOIs
    Publication statusPublished - 10 May 2009
    Event4th International Conference on Computational Fluid Dynamics, ICCFD 2006 - Ghent, Belgium
    Duration: 10 Jul 200614 Jul 2006
    Conference number: 4

    Conference

    Conference4th International Conference on Computational Fluid Dynamics, ICCFD 2006
    Abbreviated titleICCFD 2006
    CountryBelgium
    CityGhent
    Period10/07/0614/07/06

    Keywords

    • Nonlinear water waves
    • Space-time discontinuous Galerkin method

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