A NONLINEAR MODEL FOR WAVE PROPAGATION

Ting-Kuei Tsay; Philip L.F. Liu; Nan-Jing Wu

doi:10.9753/icce.v25.%p

No. 25 (1996), Conference Proceedings

No. 25 (1996)

A NONLINEAR MODEL FOR WAVE PROPAGATION

Conference Proceedings

https://doi.org/10.9753/icce.v25.%25p

Published 1996-01-29

Ting-Kuei Tsay⁺⁻
Philip L.F. Liu⁺⁻
Nan-Jing Wu⁺⁻

Ting-Kuei Tsay

Department of Civil Engineering, National Taiwan University

Philip L.F. Liu

School of Civil & Environmental Engineering, Cornell University

Nan-Jing Wu

Department of Civil Engineering, National Taiwan University

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Keywords

nonlinear model
nonlinear waves
wave propagation

How to Cite

Tsay, T.-K., Liu, P. L., & Wu, N.-J. (1996). A NONLINEAR MODEL FOR WAVE PROPAGATION. Coastal Engineering Proceedings, 1(25). https://doi.org/10.9753/icce.v25.%p

Abstract

Employing the Hamitonian theory, the canonical equations of water waves is used to derive a nonlinear model. In this paper, a unified nonlinear model for water wave propagation is presented. This model can be simplified to the mild-slope equation in the linear case. It is consistent with Stokes wave theory when water depth is deep and reduces to an equation of Boussinesq's type in shallow waters. Results of numerical computations of nonlinear water waves propagating over a submerged bar and a rectangular step are also presented in one-dimensional case. Nonlinear behaviors of water waves are captured, but further works are needed.

https://doi.org/10.9753/icce.v25.%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 NONLINEAR MODEL FOR WAVE PROPAGATION

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