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On the interaction of short linear internal waves with internal solitary waves

机译：短线性内波与内部孤立波的相互作用

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We study the interaction of small-scale internal wave packets with a large-scale internal solitary wave using high-resolution direct numerical simulations in two dimensions. A key finding is that for wave packets whose constituent waves are short in comparison to the solitary wave width, the interaction leads to an almost complete destruction of the short waves. For mode-1 short waves in the packet, as the wavelength increases, a cutoff is reached, and for larger wavelengths the waves in the packet are able to maintain their structure after the interaction. This cutoff corresponds to the wavelength at which the phase speed of the short waves upstream of the solitary wave exceeds the maximum current induced by the solitary wave. For mode-2 waves in the packet, however, no corresponding cutoff is found. Analysis based on linear theory suggests that the destruction of short waves occurs primarily due to the velocity shear induced by the solitary wave, which alters the vertical structure of the waves so that significant wave activity is found only above (below) the deformed pycnocline for overtaking (head-on) collisions. The deformation of vertical structure is more significant for waves with a smaller wavelength. Consequently, it is more difficult for these waves to adjust to the new solitary-wave-induced background environment. These results suggest that through the interaction with relatively smaller length scale waves, internal solitary waves can provide a means to decrease the power observed in the short-wave band in the coastal ocean.
机译：我们使用两个维度的高分辨率直接数值模拟来研究小规模内部波包的相互作用与大规模的内部孤立波。一个关键发现是，对于与孤立波宽相比，其构成波的波浪分组相比，相互作用导致几乎完全地破坏短波。对于分组中的模式-1短波，随着波长的增加，达到截止，并且对于较大波长，分组中的波能够在交互后保持其结构。该切断对应于孤立波上游的短波的相位速度的波长超过孤立波引起的最大电流。但是，对于数据包中的模式-2波，未找到相应的截止值。基于线性理论的分析表明，短波破坏主要是由于孤立波引起的速度剪切，这改变了波的垂直结构，从而仅发现显着的波浪活性以上的变形斑块（正面）碰撞。垂直结构的变形对于具有较小波长的波更为显着。因此，这些波更难适应新的孤立波引起的背景环境。这些结果表明，通过与相对较小的长度波的相互作用，内部孤波可以提供减少沿海海洋短波带中观察到的功率的装置。

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