Theory is developed to predict the flows induced by small-amplitude two-dimensional vertically propagating internal wavepackets under the influence of rotation. While the long wave response originally predicted by Bretherton [J. Fluid Mech. 36 , 785-803 (1969)] dominates if the influence of background rotation is negligible, the induced waves are found to be evanescent if the Coriolis parameter is sufficiently large. Explicitly, evanescent induced flows dominate if the Coriolis parameter is greater than the forcing frequency, which is set by the ratio of the vertical group velocity of the wavepacket divided by the vertical scale of modulation of the wavepacket. The predicted structure of the induced flow is confirmed by numerical simulations. For an up- and rightward propagating Gaussian wavepacket that dominantly induces a long wave response, the flow is rightward across the upper flank and leftward across the lower flank of the wavepacket. In contrast, the induced flow for a dominantly evanescent response is negative over the middle of the wavepacket. This qualitative change in structure is anticipated to influence the modulational stability of moderately large amplitude wavepackets.

中文翻译：

---

受科里奥利影响的垂直传播二维内部重力波包引起的流

发展了理论来预测在旋转影响下小振幅二维垂直传播的内部波包引起的流动。而长波响应最初是由布雷瑟顿预测的[J．流体机械。[J.Mol.Biol.Chem.36，785-803（1969）]占主导地位，如果背景旋转的影响可以忽略不计，如果科里奥利参数足够大，则感应波将消失。明确地，如果科里奥利参数大于强制频率，则e逝感应流占主导地位，强迫频率是由波包的垂直群速度除以波包的调制垂直尺度之比设置的。数值模拟证实了诱导流的预测结构。对于主要引起长波响应的向上和向右传播的高斯波包，流向右穿过波包的上侧面，向左穿过波包的下侧面。相反，主要消逝响应的感应流在波包中间为负。预期这种结构上的质变会影响中等大振幅波包的调制稳定性。