A MULTI-LEVEL MODEL FOR NONLINEAR DISPERSIVE WATER WAVES

[摘要] 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.

[学科分类] 建筑学

[关键词] multi-level model;wave model;nonlinear waves;dispersive waves