Fully nonlinear solution of bi-chromatic deep-water waves

被引：11

作者：

Lin, Zhiliang ^{[1
]}

Tao, Longbin ^{[2
]}

Pu, Yongchang ^{[2
]}

Murphy, Alan J. ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, State Key Lab Ocean Engn, Shanghai 200240, Peoples R China

[2] Newcastle Univ, Sch Marine Sci & Technol, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

来源：

OCEAN ENGINEERING | 2014年 / 91卷

基金：

英国工程与自然科学研究理事会; 中国国家自然科学基金;

关键词：

Bi-chromatic wave; Fully nonlinear; Homotopy analysis; Series approximation; PROGRESSIVE WAVES; FINITE DEPTH;

D O I：

10.1016/j.oceaneng.2014.09.015

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

Fully nonlinear bi-chromatic unidirectional waves propagating in deep-water are investigated using the homotopy analysis method. The velocity potential of the waves is expressed by Fourier series and the nonlinear free surface boundary conditions are satisfied by continuous mapping. The hi-chromatic wave elevation and velocity profiles underneath the wave crest and trough are presented and compared with the available perturbation results. Unlike the perturbation method, the present approach is not dependent on small parameters; therefore solutions are possible for steep waves. The Fast Fourier Transform analysis is then applied to study the effect of higher order wave components. The fully nonlinear dispersion relation is established. Comparisons of the wave characteristics demonstrate that the present method is effective to study the strongly nonlinear wave-wave interactions. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：290 / 299

页数：10

共 17 条

[1]

[Anonymous], 2004, APPL MECH REV

[2] On the interaction of deep water waves and exponential shear currents [J].