10 Years of Investigations in Nonlinear Waves

P.J. Zandbergen

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    At Twente University we started about 10 years ago with the development of a truly 3-D method of computation for highly nonlinear gravity waves. One of the aims was to develop a robust method, without the need of additional smoothing. Romate [8] developed a boundary integral method of higher order distributions of sources and dipoles, based on Green’s 3rd identity, where also curved surface panels were used. These panels can be seen as patches attached to the surface, which are taken together in a number of networks, e.g. along the free surface, the lateral boundaries and the bottom. The networks are the basic elements in the description of the geometry, especially for the moving boundaries. Basically, a Lagrangian description of the free surface was adopted, whereas the inflow and outflow boundaries were fixed.
    Original languageEnglish
    Title of host publicationIABEM Symposium on Boundary Integral Methods for Nonlinear Problems
    Subtitle of host publicationProceedings of the IABEM Symposium held in Pontignano, Italy, May 28–June 3 1995
    EditorsLuigi Morino, Wolfgang L. Wendland
    Place of PublicationDordrecht
    ISBN (Electronic)978-94-011-5706-3
    ISBN (Print)978-94-010-6406-4
    Publication statusPublished - 1997
    EventSymposium on Boundary Integral Methods for Nonlinear Problems, IABEM 1995 - Pontignano, Siena, Italy
    Duration: 28 May 19953 Jun 1995


    ConferenceSymposium on Boundary Integral Methods for Nonlinear Problems, IABEM 1995
    Abbreviated titleIABEM
    CityPontignano, Siena


    • Collocation point
    • Domain decomposition method
    • Outflow boundary
    • Boundary integral method
    • Panel method

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