Baroclinic multipole evolution in shear and strain

Sokolovskiy, Mikhail; Koshel, K. V.; Carton, Xavier

doi:10.1080/03091929.2010.533662

Cited by 22 publications

(14 citation statements)

References 34 publications

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“…Such structures have already been investigated and are not the focus of the present study. This evolution corresponds to vortex merger in the strain induced by a third vortex; such problems have been addressed in particular by Perrot and Carton (2010) and by Sokolovskiy et al, (2011).…”

Section: Finite Core Equilibriamentioning

confidence: 99%

Existence, stability and formation of baroclinic tripoles in quasi-geostrophic flows

Reinaud

Carton

2015

J. Fluid Mech.

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Hetons are baroclinic vortices able to transport tracers or species, and which have been observed at sea. This paper studies the offset collision of two identical hetons, often resulting in the formation of a baroclinic tripole, in a continuously stratified quasi-geostrophic model. This process is of interest since it (temporarily or definitely) stops the transport of tracers contained in the hetons. Firstly, the structure, stationarity and nonlinear stability of baroclinic tripoles composed of an upper core and of two lower (symmetric) satellites are studied analytically for point vortices and numerically for finite-area vortices. The condition for stationarity of the point vortices is obtained and it is proven that the baroclinic point tripoles are neutral. Finite-volume stationary tripoles exist with marginal states having very elongated (figure-8) upper core. In the case of vertically distant upper and lower cores, these latter can nearly joint near the center of the plane. These steady states are compared with their two-layer counterparts. Then, the nonlinear evolution of the steady states shows when they are often neutral (showing an oscillatory evolution); when they are unstable, they can either split into two hetons (by breaking of the upper core) or form a single heton (by merger of the lower satellites). These evolutions reflect the linearly unstable modes which can grow on the vorticity poles. Very tall tripoles can break up vertically due to the vertical shear mutually induced by the poles. Finally, the formation of such baroclinic tripoles from the offset collision of two identical hetons is investigated numerically. This formation occurs for hetons offset by less than the internal separation between their poles. The velocity shear during the interaction can lead to substantial filamentation by the upper core, thus forming small, upper satellites, vertically aligned with the lower ones. Finally, in the case of close and flat poles, this shear (or the baroclinic instability of the tripole) can be strong enough that the formed baroclinic tripole is short-lived and that hetons eventually emerge from the collision and drift away.

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Section: Finite Core Equilibriamentioning

confidence: 99%

Existence, stability and formation of baroclinic tripoles in quasi-geostrophic flows

Reinaud

Carton

2015

J. Fluid Mech.

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“…Deformation flows always appear near topography boundaries, coherent vortices, jets, large-scale gyres or other non-uniform flows. More generally, an arbitrary external perturbation can be expanded into a Taylor series up to the second order terms, which gives the following flow form [54,55,57,58,61,84,89,[91][92][93][94][95][96][97][98][99]…”

Section: External Deformation Flowmentioning

confidence: 99%

“…The simplest vortex model is the singular (point-) vortex model [1,9,36,37,42,43,49,77,96,97,[100][101][102][103][104].…”

Section: Singular Vorticesmentioning

confidence: 99%

“…Increasing the perturbation magnitude results in increased areas occupied by chaotic motion. The barrier between the two chaotic layers associated with the two steady-state separatrices vanishes and the chaotic trajectories from within the previously disjoint chaotic regions can now travel to the other one (a trajectory flips-over from one stochastic layer to the other one [97,135,136]). It is worth noticing that despite the fact that the barrier is already absent, the flip-overs are still relatively rare, i.e.…”

Section: Chaotic Dynamics Of Singular Vorticesmentioning

confidence: 99%

“…10a, b). Other types of varying deformation flows that can lead to structural reshaping of the system's phase portrait were studied in [97].…”

Section: Chaotic Dynamics Of Singular Vorticesmentioning

confidence: 99%

See 2 more Smart Citations

Vortex Interactions Subjected to Deformation Flows: A Review

Koshel¹,

Ryzhov²,

Carton³

2018

Preprint

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Deformation flows are flows incorporating shear, strain and rotational components. These flows are ubiquitous in the geophysical flows, such as the ocean and atmosphere. They appear near almost any salience, such as isolated coherent structures (vortices and jets), various fixed obstacles (submerged obstacles, continental boundaries). Fluid structures subject to such deformation flows may exhibit drastic changes in motion. In this review paper, we focus on the motion of a small number of coherent vortices embedded in deformation flows. Problems involving isolated one and two vortices are addressed. When considering a single-vortex problem, the main focus is on the evolution of the vortex boundary and its influence on the passive scalar motion. Two vortex problems are addressed with the use of point vortex models, and the resulting stirring patterns of neighbouring scalars are studied by a combination of numerical and analytical methods from the dynamical system theory. Many dynamical effects are reviewed with emphasis on the emergence of chaotic motion of the vortex phase trajectories and the scalars in their immediate vicinity.

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The Introductory Chapter

Sokolovskiy

Verron

2013

Atmospheric and Oceanographic Sciences Library

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Baroclinic multipole evolution in shear and strain

Cited by 22 publications

References 34 publications

Existence, stability and formation of baroclinic tripoles in quasi-geostrophic flows

Existence, stability and formation of baroclinic tripoles in quasi-geostrophic flows

Vortex Interactions Subjected to Deformation Flows: A Review

The Introductory Chapter

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