A NONLINEAR MODEL FOR WAVE PROPAGATION

Proceedings of the International Conference on Coastal Engineering

Nan-Jing Wu¹  Ting-Kuei Tsay¹  Philip L.F. Liu² 

[1] Department of Civil Engineering, National Taiwan University;School of Civil & Environmental Engineering, Cornell University

关键词: nonlinear model;    nonlinear waves;    wave propagation;   

DOI  :  10.9753/icce.v25.%p

学科分类：建筑学

来源: Coastal Engineering Research Council

【 摘 要 】

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.

【 授权许可】

Unknown