Chaotic capture of vortices by a moving body. I. The single point vortex case
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Publication:4526293
DOI10.1063/1.165959zbMath1055.76506OpenAlexW2016147559WikidataQ46009793 ScholiaQ46009793MaRDI QIDQ4526293
J. B. Kadtke, Evgeny A. Novikov
Publication date: 16 January 2001
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.165959
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) General aerodynamics and subsonic flows (76G25) Dynamical systems approach to turbulence (76F20)
Related Items (11)
Chaotic capture of vortices by a moving body. II. Bound pair model ⋮ A simple model of chaotic advection and scattering ⋮ The attraction between a flexible filament and a point vortex ⋮ Falling motion of a circular cylinder interacting dynamically with a point vortex ⋮ Dynamics of distributed sources ⋮ Symmetry reduction and control of the dynamics of a 2D rigid circular cylinder and a point vortex: vortex capture and scattering ⋮ The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices ⋮ Elliptical vortices in shear: Hamiltonian moment formulation and Melnikov analysis ⋮ Dynamics of a circular cylinder and two point vortices in a perfect fluid ⋮ Motion of vortices outside a cylinder ⋮ Chaotic advection, diffusion, and reactions in open flows
Cites Work
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- Hamiltonian description of axisymmetric vortex flows and the system of vortex rings
- The Lagrangian–Eulerian probability relations and the random force method for nonhomogeneous turbulence
- Integrable and chaotic motions of four vortices II. Collision dynamics of vortex pairs
- Two-particle description of turbulence, Markov property, and intermittency
- Flow over a Wing with an Attached Free Vortex
- On the Motion of Vortices in Two Dimensions
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