A FULLY-DISPERSIVE NONLINEAR WAVE MODEL AND ITS NUMERICAL SOLUTIONS

Kazuo Nadaoka; Serdar Beji; Yasuyuki Nakagawa

doi:10.9753/icce.v24.%p

No. 24 (1994), Conference Proceedings

No. 24 (1994)

A FULLY-DISPERSIVE NONLINEAR WAVE MODEL AND ITS NUMERICAL SOLUTIONS

Conference Proceedings

https://doi.org/10.9753/icce.v24.%25p

Published 1994-01-29

Kazuo Nadaoka⁺⁻
Serdar Beji⁺⁻
Yasuyuki Nakagawa⁺⁻

Kazuo Nadaoka

Department of Civil Engineering, Tokyo Institute of Technology

Serdar Beji

Naval Architecture and Marine Technology, Istanbul Technical University

Yasuyuki Nakagawa

Hydrodynamics Laboratory, Port and Harbour Research Institute

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Keywords

numerical solution
dispersive waves
wave model
nonlinear waves

How to Cite

Nadaoka, K., Beji, S., & Nakagawa, Y. (1994). A FULLY-DISPERSIVE NONLINEAR WAVE MODEL AND ITS NUMERICAL SOLUTIONS. Coastal Engineering Proceedings, 1(24). https://doi.org/10.9753/icce.v24.%p

Abstract

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.

https://doi.org/10.9753/icce.v24.%25p

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Authors retain copyright and grant the Proceedings right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this Proceedings.

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A FULLY-DISPERSIVE NONLINEAR WAVE MODEL AND ITS NUMERICAL SOLUTIONS

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