Advection of a vortex pair atmosphere in a velocity field of point vortices*

DOI10.1063/1.858335zbMath0775.76027OpenAlexW2010153986MaRDI QIDQ4024117

A. A. Gurzhi, T. P. Konovalyuk, M. Yu. Konstantinov, Viatcheslav V. Meleshko

Publication date: 23 February 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858335

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items (14)

Invariant manifold templates for chaotic advection ⋮ Interacting two-dimensional vortex structures: Point vortices, contour kinematics and stirring properties ⋮ Chaotic phenomena in the interaction of vortex rings ⋮ Chaotic advection in point vortex models and two-dimensional turbulence ⋮ On changing the size of the atmosphere of a vortex pair embedded in a periodic external shear flow ⋮ Stable and unstable periodic orbits and their bifurcations in the nonlinear dynamical system with a fixed point vortex in a periodic flow ⋮ One case of vortex motion in fluid. (Translated from the Russian 1903 original) With an appendix by V. V. Meleshko and G. J. F. van Heijst ⋮ Motion of three vortices near collapse ⋮ Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 1. Analysis of relative and absolute motions ⋮ Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 2. Regular and chaotic advection around the perturbed steady states ⋮ Collision of dipolar vortices on a β plane ⋮ Vyacheslav Vladimirovich Meleshko ⋮ Numerical investigation of the interaction of coaxial vortex rings ⋮ Chaotic advection, diffusion, and reactions in open flows

Cites Work

• Visualizing mathematics: Evolution of vortical flows
• Structural stability in two-dimensional model flows: Lagrangian and Eulerian turbulence
• Drift
• Point vortex motions with a center of symmetry
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• Chaotic advection of fluid particles
• Integrable four vortex motion
• Integrable and chaotic motions of four vortices II. Collision dynamics of vortex pairs
• Motion of three vortices
• Stirring by chaotic advection
• On The Motion of Three Vortices

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