Multi-level model for nonlinear dispersive water waves

Susumu Kanayama, Hitoshi Tanaka, Nobuo Shuto

Research output: Contribution to journalConference articlepeer-review

8 Citations (Scopus)


To improve the accuracy of depth-integrated models for water waves, it is important to express the vertical characteristic of wave motion properly. In the present study, a multi-level model for nonlinear dispersive water waves is derived, in which vertical profile of horizontal velocity is assumed to be a chain of quadratic portions. The properties of the model in dispersion relation and second order nonlinear interactions turned out to converge to that of the Stokes wave theory, with the increasing number of layers.

Original languageEnglish
Pages (from-to)576-588
Number of pages13
JournalProceedings of the Coastal Engineering Conference
Publication statusPublished - 1998
EventProceedings of the 1998 26th International Conference on Coastal Engineering, ICCE-98 - Copenhagen, Denmark
Duration: 1998 Jun 221998 Jun 26


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