基于非线性模型的畸形波模拟及其时频能量谱研究(英文)

Freak wave simulation based on nonlinear model and the research on the time-frequency energy spectrum of simulation results

采用VOF(volume of fluid)方法实现了畸形波的数值模拟。将数值结果与线性理论(方程(5))计算结果进行了对比,发现数值模拟结果更能够反映非线性特征。使用小波分析方法研究了畸形波的时频能量谱,发现形成畸形波的过程中存在很强的波浪非线性相互作用,使得波浪的能量向高频端转化。变水深地形可以加强波浪的非线性相互作用,使得转化到高频端的能量更多,产生畸形程度更大的畸形波。

VOF （volume of fluid） method has been used to make the numerical simulation of freak wave come true. The comparisons between the numerical results and linear theoretical results corresponding to Eq.（5） have been carried out to show that the numerical results have a better exhibition of nonlinear characteristics. Wavelet analysis method has been adopted to investigate the time-frequency energy spectrum of simulation freak waves and the results reveal strong nonlinear interaction enables energy to be transferred to high harmonics during the progress of its formation. Varying water depth can enhance the nonlinear interaction, making much more energy be transferred to high harmonics and freak waves with higher asymmetry be generated.