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Rossby Waves on Non-zonal Flows: Vertical Focusing and Effect of the Current Stratification
Pure and Applied Geophysics ( IF 2 ) Pub Date : 2021-06-29 , DOI: 10.1007/s00024-021-02799-8
Vladimir G. Gnevyshev , Sergei I. Badulin , Aleksey V. Koldunov , Tatyana V. Belonenko

This paper considers the interaction of Rossby waves with large-scale flows. We focus on the case of a non-zonal baroclinic plane-parallel flow with vertical shear. We develop short-wave asymptotics for linear waves in the vicinity of the critical layer. Vertical wave modes (eigenfunctions) of the corresponding boundary problem are presented in terms of Hermite polynomials. In addition to the classical case, when the wave modes are focused on the absolute minimum of the vertical profile of the baroclinic flow velocity, we show that there is another option when a mode is formed with focusing not on the minimum, but the absolute maximum of the vertical profile of the background flow velocity. The new option makes it possible to implement new dynamical regimes that are considered in the paper. We obtain a new criterion that limits the number of vertical modes and, thus, determines regimes of the mode localization in depth or its de-localization. Theoretical criteria of different regimes of Rossby wave dynamics in the non-zonal baroclinic are presented in terms of two dimensionless variables: B associated with "an effective \(\beta\) -parameter" and \(S=N^2/f^2\) (N is the Brunt–Väisälä frequency, and f is the Coriolis parameter). The analysis of experimental data shows the relevance of theoretically predicted effects.



中文翻译:

非区域流动的罗斯贝波:垂直聚焦和海流分层的影响

本文考虑了罗斯贝波与大尺度流动的相互作用。我们关注具有垂直剪切的非纬向斜压平面平行流的情况。我们为临界层附近的线性波开发了短波渐近线。相应边界问题的垂直波模式(特征函数)以 Hermite 多项式表示。除了经典情况之外,当波模式集中在斜压流速垂直剖面的绝对最小值时,我们表明当形成模式时,还有另一种选择,即不集中在最小值,而是集中在绝对最大值背景流速的垂直剖面图。新选项可以实现本文中考虑的新动态机制。我们获得了一个新的标准,它限制了垂直模式的数量,从而确定了模式深度定位或其去定位的制度。非纬向斜压中罗斯比波动力学不同状态的理论标准用两个无量纲变量表示:B与“有效的\(\beta\) -参数”和\(S=N^2/f^2\) 相关联N是 Brunt–Väisälä 频率,f是科里奥利参数)。实验数据的分析显示了理论预测效果的相关性。

更新日期:2021-06-29
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