Preprint Review Version 1 This version is not peer-reviewed

Vortex Interactions Subjected to Deformation Flows: A Review

Version 1 : Received: 24 December 2018 / Approved: 25 December 2018 / Online: 25 December 2018 (05:15:51 CET)

A peer-reviewed article of this Preprint also exists.

Koshel, K.V.; Ryzhov, E.A.; Carton, X.J. Vortex Interactions Subjected to Deformation Flows: A Review. Fluids 2019, 4, 14. Koshel, K.V.; Ryzhov, E.A.; Carton, X.J. Vortex Interactions Subjected to Deformation Flows: A Review. Fluids 2019, 4, 14.

Journal reference: Fluids 2019, 4, 14
DOI: 10.3390/fluids4010014

Abstract

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.

Subject Areas

flow; deformation flow; point vortex; elliptic vortex; chaotic dynamics; parametric instability; stability islands

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