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首页> 外文期刊>Journal of Physical Oceanography >The Dynamics of Quasigeostrophic Lens-Shaped Vortices
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The Dynamics of Quasigeostrophic Lens-Shaped Vortices

机译：准地转透镜状涡旋的动力学

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The stability of lens-shaped vortices is revisited in the context of an idealized quasigeostrophic model. We compute the stability characteristics with higher accuracy and for a wider range of Burger numbers (Bu) than what was previously done. It is found that there are four distinct Bu regions of linear instability. Over the primary region of interest (0.1 Bu 10), we confirm that the first and second azimuthal modes are the only linearly unstable modes, and they are associated with vortex tilting and tearing, respectively. Moreover, the most unstable first azimuthal mode is not precisely captured by the linear stability analysis because of the extra condition that is imposed at the vortex center, and accurate calculations of the second azimuthal mode require higher resolution than was previously considered. We also study the nonlinear evolution of lens-shaped vortices in the context of this model and present the following results. First, vortices with a horizontal length scale a little less than the radius of deformation (Bu 1) are barotropically unstable and develop a wobble, whereas those with a larger horizontal length scale (Bu 1) are baroclinically unstable and often split. Second, the transfer of energy between different horizontal scales is quantified in two typical cases of barotropic and baroclinic instability. Third, after the instability the effective Bu is closer to unity.
机译：在理想拟准营养模型的背景下，重新讨论了透镜状涡旋的稳定性。与以前相比，我们以更高的精度和更大的汉堡数（Bu）范围来计算稳定性特征。发现存在四个线性不稳定性的不同Bu区域。在感兴趣的主要区域（0.1 1）的涡流正压不稳定，并产生摆动，而水平长度尺度较大（Bu <1）的涡流则斜压不稳定并且经常分裂。其次，在正压和斜压不稳定性的两种典型情况下，对不同水平尺度之间的能量转移进行了量化。第三，在不稳定之后，有效Bu趋于统一。

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