Transmission and reflection of internal solitary waves incident upon a triangular barrier
Transmission and reflection of internal solitary waves incident upon a triangular barrier
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DOI：
10.1017/jfm.2015.306
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发表时间：
2015-06
影响因子：
3.7
通讯作者：
B. Sutherland;S. Keating;I. Shrivastava
中科院分区：
文献类型：
--
作者：
B. Sutherland;S. Keating;I. Shrivastava
我们报告的实验室实验和数值模拟研究的界面内孤立波入射在一个三角形的脊，其峰值低于接口的演变。如果脊是适度的大，波被观察到浅滩和打破类似孤立波浅滩上一个恒定的斜率，但界面波也被观察到传输和反射的脊。在实验室实验中，通过测量界面位移随时间的变化，我们测量了入射波与山脊相互作用后可用势能的相对透射和反射。实验室和海洋尺度波浪的数值模拟测量了可用的势能和动能，以确定入射能量在透射和反射能量中的分配。根据浅水波理论，我们定义了临界振幅A_{c}$，在此振幅以上界面波是不稳定的。当入射波振幅与λ c的比值从小于1增大到大于1时，透射率从1减小到0。通过测量透射系数和反射系数，对分析曲线进行经验拟合。
We report upon laboratory experiments and numerical simulations examining the evolution of an interfacial internal solitary wave incident upon a triangular ridge whose peak lies below the interface. If the ridge is moderately large, the wave is observed to shoal and break similar to solitary waves shoaling upon a constant slope, but interfacial waves are also observed to transmit over and reflect from the ridge. In laboratory experiments, by measuring the interface displacement as it evolves in time, we measure the relative transmission and reflection of available potential energy after the incident wave has interacted with the ridge. The numerical simulations of laboratory- and ocean-scale waves measure both the available potential and kinetic energy to determine the partition of incident energy into that which is transmitted and reflected. From shallow-water theory, we define a critical amplitude, $A_{c}$ , above which interfacial waves are unstable. The transmission is found to decrease from one to zero as the ratio of the incident wave amplitude to $A_{c}$ increases from less than to greater than one. Empirical fits are made to analytic curves through measurements of the transmission and reflection coefficients.