An implicit discontinuous Galerkin finite element model for water waves

J.J.W. van der Vegt, V.R. Ambati, Onno Bokhove

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

    39 Downloads (Pure)

    Abstract

    We discuss a new higher order accurate discontinuous Galerkin finite element method for non-linear free surface gravity waves. The algorithm is based on an arbitrary Lagrangian Eulerian description of the flow field using deforming elements and a moving mesh, which makes it possible to represent non-linear large amplitude waves. The novel feature of the algorithm is a coupled treatment of the free surface boundary condition and the domain discretization, which improves numerical stability.
    Original languageEnglish
    Title of host publicationProceedings International Conference on Mathematical and Numerical Aspects of Waves Propagation, WAVES 2005
    Place of PublicationProvidence, RI, USA
    PublisherBrown University
    Number of pages3
    Publication statusPublished - 20 Jun 2005
    Event7th International Conference on Mathematical and Numerical Aspects of Waves,  WAVES 2005 - Brown University, Providence, United States
    Duration: 20 Jun 200524 Jun 2005
    Conference number: 7

    Conference

    Conference7th International Conference on Mathematical and Numerical Aspects of Waves,  WAVES 2005
    Abbreviated titleWAVES 2005
    Country/TerritoryUnited States
    CityProvidence
    Period20/06/0524/06/05

    Fingerprint

    Dive into the research topics of 'An implicit discontinuous Galerkin finite element model for water waves'. Together they form a unique fingerprint.

    Cite this