Wave-wave interactions on a sloping bottom

被引：4

作者：

Chen, Yang-Yih ^{[1
,2
,3
]}

Yang, Bin-Da ^{[4
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Marine Environm & Engn, Kaohsiung 804, Taiwan

[2] Natl Cheng Kung Univ, Int Wave Dynam Res Ctr, Tainan 701, Taiwan

[3] Natl Cheng Kung Univ, Dept Hydraul & Ocean Engn, Tainan 701, Taiwan

[4] Natl Cheng Kung Univ, Tainan Hydraul Lab, Tainan 701, Taiwan

来源：

COASTAL ENGINEERING | 2015年 / 95卷

关键词：

Nonlinear wave-wave interactions; Wave shoaling; Resonance; Sloping bottom; WATER-WAVES; SURFACE-WAVES; GRAVITY-WAVES; THEORETICAL-ANALYSIS; PROPAGATION; EQUATIONS; FORM;

D O I：

10.1016/j.coastaleng.2014.10.001

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This study derived an analytic solution for two progressive waves propagating on a sloping bottom. The solution of flow field in explicit form is obtained as a three-parameter function of rendering the two wave ordering parameter epsilon(1), epsilon(2) and the bottom slope perturbed to the third order. The results can be simplified to a single propagating wave on sloping beach and wave-wave interaction in uniform depth. The wave number and angular frequency are related to water depth, bottom slope, and wave steepness and are also affected by another propagating wave, the increasing wave steepness or wave length of which will enhance the influence of the dispersion relation. The solutions include the wave-wave interaction, wave shoaling, nonlinearity, and the effect of bottom slope. Those are observed by means of the discussion of the free-surface displacement. The resonance caused by wave-wave interaction will occur in a specified water depth and the ratio of two wave numbers, leading to the singularity of free-surface displacement. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：84 / 93

页数：10

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