A variational model for fully non-linear water waves of Boussinesq type

Gert Klopman, Maarten W. Dingemans, Brenny van Groesen

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    Abstract

    Using a variational principle and a parabolic approximation to the vertical structure of the velocity potential, the equations of motion for surface gravity waves over mildly sloping bathymetry are derived. No approximations are made concerning the non-linearity of the waves. The resulting model equations conserve mass, momentum and positive-definite energy. They are shown to have improved frequency-dispersion characteristics, as compared to classical Boussinesq-type of wave equations.
    Original languageEnglish
    Number of pages4
    Publication statusPublished - 19 May 2005
    Event20th International Workshop on Water Waves and Floating Bodies, IWWWFB 2005 - Longyearbyen, Norway
    Duration: 19 May 20051 Jun 2005
    Conference number: 20
    http://www.iwwwfb.org/Workshops/20.htm

    Conference

    Conference20th International Workshop on Water Waves and Floating Bodies, IWWWFB 2005
    Abbreviated titleIWWWFB
    CountryNorway
    CityLongyearbyen
    Period19/05/051/06/05
    Internet address

    Keywords

    • METIS-226026
    • IR-53379

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    Klopman, G., Dingemans, M. W., & van Groesen, B. (2005). A variational model for fully non-linear water waves of Boussinesq type. Paper presented at 20th International Workshop on Water Waves and Floating Bodies, IWWWFB 2005, Longyearbyen, Norway.