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Hetonic quartets in a two-layer quasi-geostrophic flow: V-states and stability ArchiMer
Reinaud, J. N.; Sokolovskiy, M. A.; Carton, Xavier.
We investigate families of finite core vortex quartets in mutual equilibrium in a two-layer quasi-geostrophic flow. The finite core solutions stem from known solutions for discrete (singular) vortex quartets. Two vortices lie in the top layer and two vortices lie in the bottom layer. Two vortices have a positive potential vorticity anomaly, while the two others have negative potential vorticity anomaly. The vortex configurations are therefore related to the baroclinic dipoles known in the literature as hetons. Two main branches of solutions exist depending on the arrangement of the vortices: the translating zigzag-shaped hetonic quartets and the rotating zigzag-shaped hetonic quartets. By addressing their linear stability, we show that while the rotating...
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Ano: 2018 URL: https://archimer.ifremer.fr/doc/00600/71246/69617.pdf
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Geostrophic tripolar vortices in a two-layer fluid: Linear stability and nonlinear evolution of equilibria ArchiMer
Reinaud, J. N.; Sokolovskiy, M. A.; Carton, Xavier.
We investigate equilibrium solutions for tripolar vortices in a two-layer quasi-geostrophic flow. Two of the vortices are like-signed and lie in one layer. An opposite-signed vortex lies in the other layer. The families of equilibria can be spanned by the distance (called separation) between the two like-signed vortices. Two equilibrium configurations are possible when the opposite-signed vortex lies between the two other vortices. In the first configuration (called ordinary roundabout), the opposite signed vortex is equidistant to the two other vortices. In the second configuration (eccentric roundabouts), the distances are unequal. We determine the equilibria numerically and describe their characteristics for various internal deformation radii. The two...
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Ano: 2017 URL: https://archimer.ifremer.fr/doc/00600/71257/69639.pdf
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