Next Article in Journal
Field Studies and 3D Modelling of Morphodynamics in a Meandering River Reach Dominated by Tides and Suspended Load
Next Article in Special Issue
Jovian Vortices and Jets
Previous Article in Journal
Rheology of Natural Hydraulic Lime Grouts for Conservation of Stone Masonry—Influence of Compositional and Processing Parameters
Previous Article in Special Issue
The Effect of a Variable Background Density Stratification and Current on Oceanic Internal Solitary Waves
Open AccessFeature PaperArticle

Vortex Interactions Subjected to Deformation Flows: A Review

V.I.Il’ichev Pacific Oceanological Institute of FEB RAS, 43, Baltiyskaya Street, 690041 Vladivostok, Russia
Department of Mathematics, Imperial College London, London SW7 2AZ, UK
Laboratoire d’Océanographie Physique et Spatiale, IUEM/UBO, Rue Dumont D’Urville, 29280 Plouzané, France
Author to whom correspondence should be addressed.
Fluids 2019, 4(1), 14;
Received: 24 December 2018 / Revised: 13 January 2019 / Accepted: 15 January 2019 / Published: 18 January 2019
(This article belongs to the Collection Geophysical Fluid Dynamics)
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. View Full-Text
Keywords: shear flow; deformation flow; point vortex; elliptic vortex; chaotic dynamics; parametric instability; stability islands shear flow; deformation flow; point vortex; elliptic vortex; chaotic dynamics; parametric instability; stability islands
Show Figures

Figure 1

MDPI and ACS Style

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

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop