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Journal Articles Fluid Dynamics Research Year : 2014

Instability of a two-step Rankine vortex in a reduced gravity QG model

Abstract

We investigate the stability of a steplike Rankine vortex in a one-active-layer, reduced gravity, quasi-geostrophic model. After calculating the linear stability with a normal mode analysis, the singular modes are determined as a function of the vortex shape to investigate short-time stability. Finally we determine the position of the critical layer and show its influence when it lies inside the vortex.

Dates and versions

hal-01083758 , version 1 (17-11-2014)

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Xavier Perrot, Xavier J. Carton. Instability of a two-step Rankine vortex in a reduced gravity QG model. Fluid Dynamics Research, 2014, 46 (3), pp.031417. ⟨10.1088/0169-5983/46/3/031417⟩. ⟨hal-01083758⟩
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