Abstract
It is shown that the classical symmetric instability drastically changes, if the usually neglected vertical component of the Coriolis force and the contribution of the vertical velocity into its horizontal components are taken into account. The influence of these “non-traditional” terms is different for flows with positive and negative horizontal relative vorticities. A critical value of the Richardson number appears in the second case, with the instability changing its character across it. Major differences appear between hydrostatic and non-hydrostatic versions of the instability. All these features are absent in the traditional approximation.
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