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

Gert Klopman, Maarten W. Dingemans, Brenny van Groesen

    Research output: Contribution to conferencePaper

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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

    Fingerprint

    water wave
    nonlinear wave
    wave equation
    bathymetry
    gravity wave
    nonlinearity
    surface wave
    momentum
    energy

    Keywords

    • METIS-226026
    • IR-53379

    Cite this

    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.
    Klopman, Gert ; Dingemans, Maarten W. ; van Groesen, Brenny. / 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.4 p.
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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.",
    keywords = "METIS-226026, IR-53379",
    author = "Gert Klopman and Dingemans, {Maarten W.} and {van Groesen}, Brenny",
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    language = "English",
    note = "20th International Workshop on Water Waves and Floating Bodies, IWWWFB 2005, IWWWFB ; Conference date: 19-05-2005 Through 01-06-2005",
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    Klopman, G, Dingemans, MW & 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, 19/05/05 - 1/06/05, .

    A variational model for fully non-linear water waves of Boussinesq type. / Klopman, Gert; Dingemans, Maarten W.; van Groesen, Brenny.

    2005. Paper presented at 20th International Workshop on Water Waves and Floating Bodies, IWWWFB 2005, Longyearbyen, Norway.

    Research output: Contribution to conferencePaper

    TY - CONF

    T1 - A variational model for fully non-linear water waves of Boussinesq type

    AU - Klopman, Gert

    AU - Dingemans, Maarten W.

    AU - van Groesen, Brenny

    PY - 2005/5/19

    Y1 - 2005/5/19

    N2 - 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.

    AB - 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.

    KW - METIS-226026

    KW - IR-53379

    M3 - Paper

    ER -

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