Unsteady evolutions of vortex rings

DOI10.1063/1.868602zbMath1032.76526OpenAlexW2020895177MaRDI QIDQ4423855

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Publication date: 22 March 2004

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

Full work available at URL: https://doi.org/10.1063/1.868602

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47)

Related Items (6)

Filamentation near Hill’s vortex ⋮ Remarks on orbital stability of steady vortex rings ⋮ Perturbation response and pinch-off of vortex rings and dipoles ⋮ Coaxial interactions of two vortex rings or of a ring with a body ⋮ The nonlinear interaction of vortex rings with a free surface ⋮ Linear stability of inviscid vortex rings to axisymmetric perturbations

Cites Work

• Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics
• The nonlinear instability of Hill's vortex
• The velocity of a vortex ring with a thin core of elliptical cross section
• The response of Hill's spherical vortex to a small axisymmetric disturbance
• Examples of steady vortex rings of small cross-section in an ideal fluid
• A family of steady vortex rings

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