A FULLY-DISPERSIVE NONLINEAR WAVE MODEL AND ITS NUMERICAL SOLUTIONS

Proceedings of the International Conference on Coastal Engineering

Yasuyuki Nakagawa³  Serdar Beji²  Kazuo Nadaoka¹ 

[1] Department of Civil Engineering, Tokyo Institute of Technology;Naval Architecture and Marine Technology, Istanbul Technical University;Hydrodynamics Laboratory, Port and Harbour Research Institute

关键词: numerical solution;    dispersive waves;    wave model;    nonlinear waves;   

DOI  :  10.9753/icce.v24.%p

学科分类：建筑学

来源: Coastal Engineering Research Council

【 摘 要 】

A set of fully-dispersive nonlinear wave equations is derived by introducing a velocity expression with a few vertical-dependence functions and then applying the Galerkin method, which provides an optimum combination of the verticaldependence functions to express an arbitrary velocity field under wave motion. The obtained equations can describe nonlinear non-breaking waves under general conditions, such as nonlinear random waves with a wide-banded spectrum at an arbitrary depth including very shallow and far deep water depths. The single component forms of the new wave equations, one of which is referred to here as "time-dependent nonlinear mild-slope equation", are shown to produce various existing wave equations such as Boussinesq and mild-slope equations as their degenerate forms. Numerical examples with comparison to experimental data are given to demonstrate the validity of the present wave equations and their high performance in expressing not only wave profiles but also velocity fields.

【 授权许可】

Unknown