A Hamiltonian formulation for nonlinear wave-body interactions

E.F.G. van Daalen, E. van Groesen, P.J. Zandbergen

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    Abstract

    Here we show that gravity driven water waves - on a fluid of arbitrary variable depth - interacting with rigid bodies floating freely in or below the free surface can be described as an infinite-dimensional Hamiltonian system. It will ap­pear that, with appropriate choices for the canonical vari­ables and the Hamiltonian, the complete set of equations of motion - i.e. the nonlinear free surface conditions and the hydrodynamic equations of motion for the rigid bodies - can be written in a canonical form.
    Original languageEnglish
    Title of host publication8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993
    Place of PublicationSt John's
    Number of pages5
    Publication statusPublished - 23 May 1993
    Event8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993 - St John's, Canada
    Duration: 23 May 199326 May 1993
    Conference number: 8
    http://www.iwwwfb.org/Workshops/08.htm

    Workshop

    Workshop8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993
    Abbreviated titleIWWWFB
    CountryCanada
    CitySt John's
    Period23/05/9326/05/93
    Internet address

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    van Daalen, E. F. G., van Groesen, E., & Zandbergen, P. J. (1993). A Hamiltonian formulation for nonlinear wave-body interactions. In 8th International Workshop on Water Waves and Floating Bodies, IWWWFB 1993 St John's.