A MULTI-LEVEL MODEL FOR NONLINEAR DISPERSIVE WATER WAVES

Susumu Kanayama, Hitoshi Tanaka, Nobuo Shuto

Abstract


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 multilevel 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.

Keywords


multi-level model; wave model; nonlinear waves; dispersive waves

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