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.
|Number of pages||13|
|Journal||Proceedings of the Coastal Engineering Conference|
|Publication status||Published - 1998|
|Event||Proceedings of the 1998 26th International Conference on Coastal Engineering, ICCE-98 - Copenhagen, Denmark|
Duration: 1998 Jun 22 → 1998 Jun 26