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Three-dimensionality of the triadic resonance instability of a plane inertial wave
Physical Review Fluids ( IF 2.7 ) Pub Date : 2021-07-27 , DOI: 10.1103/physrevfluids.6.074801
Daniel Odens Mora , Eduardo Monsalve , Maxime Brunet , Thierry Dauxois , Pierre-Philippe Cortet

We analyze theoretically and experimentally the triadic resonance instability (TRI) of a plane inertial wave in a rotating fluid. Building on the classical triadic interaction equations between helical modes, we show by numerical integration that the maximum growth rate of the TRI is found for secondary waves that do not propagate in the same vertical plane as the primary wave (the rotation axis is parallel to the vertical). In the inviscid limit, we prove this result analytically, in which case the change in the horizontal propagation direction induced by the TRI evolves from 60 to 90 depending on the frequency of the primary wave. Due to a wave generator with a large spatial extension in the horizontal direction of invariance of the forced wave, we are able to report experimental evidence that the TRI of a plane inertial wave is three dimensional. The wave vectors of the secondary waves produced by the TRI are shown to match the theoretical predictions based on the maximum growth rate criterion. These results reveal that the triadic resonant interactions between inertial waves are very efficient at redistributing energy in the horizontal plane, normal to the rotation axis.

中文翻译:

平面惯性波三元共振失稳的三维度

我们从理论上和实验上分析了旋转流体中平面惯性波的三元共振不稳定性 (TRI)。基于螺旋模式之间的经典三元相互作用方程,我们通过数值积分表明,对于不与主波在同一垂直平面中传播的二次波(旋转轴平行于主波),可以找到 TRI 的最大增长率。垂直的)。在无粘性极限中,我们分析证明了这个结果,在这种情况下,由 TRI 引起的水平传播方向的变化从6090取决于主波的频率。由于在受迫波不变的水平方向上具有大空间扩展的波发生器,我们能够报告平面惯性波的 TRI 是三维的实验证据。TRI 产生的二次波的波矢量与基于最大增长率标准的理论预测相匹配。这些结果表明,惯性波之间的三元共振相互作用在垂直于旋转轴的水平面重新分配能量方面非常有效。
更新日期:2021-07-27
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