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Flows induced by Coriolis-influenced vertically propagating two-dimensional internal gravity wave packets
Physical Review Fluids ( IF 2.7 ) Pub Date : 2020-06-25 , DOI: 10.1103/physrevfluids.5.064805
Bruce R. Sutherland , Wyatt Reeves , Ton S. van den Bremer

Theory is developed to predict the flows induced by small-amplitude two-dimensional vertically propagating internal wave packets under the influence of rotation. While the long-wave response originally predicted by Bretherton [J. Fluid Mech. 36, 785 (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 wave packet divided by the vertical scale of modulation of the wave packet. The predicted structure of the induced flow is confirmed by numerical simulations. For an upward and rightward propagating Gaussian wave packet that dominantly induces a long-wave response, the flow is rightward across the upper flank and leftward across the lower flank of the wave packet. In contrast, the induced flow for a dominantly evanescent response is negative over the middle of the wave packet. This qualitative change in structure is anticipated to influence the modulational stability of moderately large-amplitude wave packets.

中文翻译:

由科里奥利影响的垂直传播二维内部重力波包引起的流动

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[ J. Fluid Mech。 36,785(1969)]在背景旋转的影响可忽略的情况下占主导地位,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van逝感应流占主导地位,该强制频率由波包的垂直群速度与波包调制的垂直比例之比设置。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,在波包的中部,主要为消逝响应的感应流为负。
更新日期:2020-06-25
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