Theoretical and experimental studies on the steady-state resonant water waves
In 1960 Phillips found the resonance criterion of four waves, and reported that the amplitude of resonant wave component, if it is initially zero, increases linearly with time.In 1962 Benney gave a wave model which indicates that there exist periodic exchanges of wave energy between different wave modes, when wave resonance occurs.However, it is failed to find the steady-state resonant waves whose wave spectrum is independent of time, since perturbation techniques break down due to the singularity for the resonant waves.Using the homotopy analysis method (HAM), an analytic approximation method for highly nonlinear problems, the steady-state resonant water waves were found in deep water and in water of finite depth.Besides, they were confirmed by experiments in State Key Lab of Ocean Engineering, China.These works illustrate the originality and potential of the homotopy analysis method (HAM), and besides deepen our understandings on resonant water waves.
resonant waves steady state homotopy analysis method
Shijun Liao Dali Xu Zeng Liu Zhiliang Lin
School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai,C College of Ocean Science and Engineering, Shanghai Maritime University, Shanghai,China School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology,Wu
国际会议
The Second Conference of Global Chinese Scholars on Hydrodynamics(第二届全球华人水动学学术会议)
江苏 无锡
英文
60-64
2016-11-11（万方平台首次上网日期，不代表论文的发表时间）