聚焦波浪在潜堤上传播变形的数值模拟
NUMERICAL MODEL FOR FOCUSED WAVE TRANSFORMATION OVER A SUBMERGED BAR
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摘要: 该文以一组色散关系得到改进的完全非线性Boussinesq方程建立了一个波浪模型,通过与均匀水深条件下聚焦波浪的实验结果进行对比说明该模型可以很好的模拟聚焦波浪,然后应用该模型聚焦波浪在一前后坡度对称的潜堤上的非线性传播变形。结果表明:随着水深的减小波峰越来越尖,波谷越来越平坦,所对应的能谱在高次谐频部分也有较大的增长,但在堤顶部分和反变浅区域,波浪的群性随着水深的增大而越来越不明显,对应的频谱表明在这段区域内有反向能量传递存在。另外,在反变浅区域主波频率附近的自由波能量有所增加,这说明频率的峰度也会减小。Abstract: A numerical wave model is established by a set of fully nonlinear Boussinesq equations with enhanced dispersion relationship. This model is verified by experimental data of the evolution of focused wave groups at uniform depth. Then, the model is used to study the propagation of focusing wave groups over a submerged bar. The results indicate that: in the shoaling region, the wave crests become more and more peaky and the troughs become more and more broaden with the decrease of water depth. The associated amplitude spectra indicate that there is significant increase energy at higher- and sub-harmonics. However, in the region of the top of a bar and the de-shoaling region, the wave packet shape gradually evolves from a wave groups to a nearly sinusoidal shape wave train. The phenomenon of inverse of energy transfer is also observed in this region. Furthermore, it is observed that: in the frequency region of primary waves, the energy of frequency components at the adjacent of peak frequency increases in the de-shoaling region, that is, the peakiness of spectrum shape decreases.