Spatial-Spectral Hamiltonian Boussinesq Wave Simulations

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    Abstract

    This contribution concerns a specific simulation method for coastal wave engineering applications. As is common to reduce computational costs the flow is assumed to be irrotational so that a Boussinesq-type of model in horizontal variables only can be used. Here we advocate the use of such a model that respects the Hamiltonian structure of the wave equations. To avoid approximations of the dispersion relation by an algebraic relation that is needed for finite element/difference methods, we propose a spatial-spectral implementation which can model dispersion exactly for all wave lengths. Results with a relatively simple spatial-spectral implementation of the advanced theoretical model will be compared to experiments for harmonic waves and irregular waves over a submerged trapezoidal bar and bichromatic wave breaking above a flat bottom; calculation times are typically less than 25% of the physical time in environmental geometries.
    Original languageEnglish
    Title of host publicationProceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014)
    EditorsP. Krishnankutty
    Place of PublicationIndia
    PublisherIndian Institute of Technology Madras
    Pages19-24
    Number of pages6
    ISBN (Print)978-93-80689-22-7
    Publication statusPublished - 4 Dec 2014

    Publication series

    NameAdvances in Computational and Experimental Marine Hydrodynamics
    PublisherDepartment of Ocean Engineering, Indian Institute of Technology Madras and The Royal Institution of Naval Architects
    Volume2

    Keywords

    • EWI-25871
    • Wave Simulations
    • METIS-310016
    • Analytic Boussinesq
    • IR-95266

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  • Cite this

    Kurnia, R., & van Groesen, E. W. C. (2014). Spatial-Spectral Hamiltonian Boussinesq Wave Simulations. In P. Krishnankutty (Ed.), Proceedings of International Conference on Computational and Experimental Marine Hydrodynamics (MARHY 2014) (pp. 19-24). (Advances in Computational and Experimental Marine Hydrodynamics; Vol. 2). India: Indian Institute of Technology Madras.