Steady-State Solutions of the Wave-Bottom Resonant Interaction

被引:0
作者
Xu, D. [1 ]
Lin, Z. [1 ]
Liao, S. [2 ]
机构
[1] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, Shanghai 200030, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, State Key Lab Ocean Rngn, Shanghai, Peoples R China
来源
SIXTH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS (ICNM-VI) | 2013年
关键词
ANALYTIC SOLUTION; GRAVITY-WAVES; WATER-WAVES; PROPAGATION; REFLECTION; EQUATION; BED;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The wave-bottom resonant interaction is investigated by means of analytically solving the fully nonlinear wave equations. It is found that there exist the multiple steady-state resonant waves in the class-I Bragg resonance, whose wave spectrum is time-independent, i. e. without exchange of wave energy between different wave modes. In particular, the resonant wave component may contain less, equal or more wave energy than the primary one in some cases. In addition, there exist the bifurcations of the solutions with respect to the water depth, bottom slope and the angle between the primary and bottom wavenumbers. This work verifies that multiple steady-state resonant waves exist not only in nonlinear wave-wave interaction but also in nonlinear wave-bottom interaction. All of these might deepen our understanding and enrich our knowledge of the resonance of gravity waves.
引用
收藏
页码:273 / 276
页数:4
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