Interaction of a monopole vortex with an isolated topographic feature in a three-layer geophysical flow

Ryzhov, Eugene A.; Koshel, K. V.

doi:10.5194/npg-20-107-2013

Cited by 22 publications

(13 citation statements)

References 43 publications

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“…This has many implications, for instance, on the water transport in the ocean and atmosphere. Estimates show that a significant part of ocean recirculation is due to the action of coherent mesoscale eddies [2,3,6,7,141], which can be reasonably approximated by point-vortex and elliptic-vortex models [9,34,35,40,[142][143][144][145][146]. This section analyses chaotic advection of passive scalars induced by the vortex systems subjected to exterior deformation flows.…”

Section: Regular and Chaotic Advection Of Scalars Induced By Point Vomentioning

confidence: 99%

Vortex Interactions Subjected to Deformation Flows: A Review

Koshel

Ryzhov

Carton

2019

Fluids

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Deformation flows are the 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) and various fixed obstacles (submerged obstacles and 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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Section: Regular and Chaotic Advection Of Scalars Induced By Point Vomentioning

confidence: 99%

Vortex Interactions Subjected to Deformation Flows: A Review

Koshel

Ryzhov

Carton

2019

Fluids

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“…Indeed, the entrapping of coherent structures by a topographic feature is a common phenomenon in the ocean 28,31,[45][46][47][48] . When this happens, bounded motion of vortex structures may lead to effective passive scalar advection 25,33,49 .…”

Section: Asymmetric Casementioning

confidence: 99%

“…In this case [23][24][25] , the vortex pair can be trapped near the fixed vortex in a bounded region or otherwise can move off the fixed vortex self-propelling itself to infinity. Fixing one of the vortices may be thought of as a model for topographically trapped eddies systematically observed in the ocean and accordingly modeled [26][27][28][29][30][31][32][33][34] . A significant improvement over the simplest point-vortex model towards increasing realism is the model utilizing finite area vortex patches.…”

Section: Introductionmentioning

confidence: 99%

Entrapping of a vortex pair interacting with a fixed point vortex revisited. I. Point vortices

et al. 2018

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The problem of a pair of point vortices impinging on a fixed point vortex of arbitrary strengths [E. Ryzhov and K. Koshel, EPL 102, 44004 (2013)] is revisited and investigated comprehensively. Although the motion of pair of point vortices is established to be regular, the model presents a plethora of possible bounded and unbounded solutions with complicated vortex trajectories. The initial classification [E. Ryzhov and K. Koshel, EPL 102, 44004 (2013)] revealed that pair could be compelled to perform bounded or unbounded motion without giving a full classification of either of those dynamical regimes. The present work capitalizes upon the previous results and introduces a finer classification with a multitude of possible regimes of motion. Regimes of bounded motion for the vortex pair entrapped near the fixed vortex or of unbounded motion, when the vortex pair moves away from the fixed vortex, can be categorized by varying the two governing parameters: (i) the ratio of the distances between pair's vortices and the fixed vortex, and (ii) the ratio of the strengths of the vortices of the pair and the strength of the fixed vortex. In particular, a bounded motion regime where one of pair's vortices does not rotate about the fixed vortex is revealed. In this case, only one of pair's vortices rotates about the fixed vortex, while the other one oscillates at a certain distance. Extending the results obtained with the point-vortex model to an equivalent model of finite size vortices is the focus of a second paper.

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“…34,35,40,[143][144][145][146][147]. This section analyses chaotic advection of passive scalars induced by the vortex systems subjected to exterior deformation flows.…”

mentioning

confidence: 99%

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.

show abstract

Interaction of a monopole vortex with an isolated topographic feature in a three-layer geophysical flow

Cited by 22 publications

References 43 publications

Vortex Interactions Subjected to Deformation Flows: A Review

Vortex Interactions Subjected to Deformation Flows: A Review

Entrapping of a vortex pair interacting with a fixed point vortex revisited. I. Point vortices

Vortex Interactions Subjected to Deformation Flows: A Review

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