Near-singular collapse and local intensification of a ‘‘Lissajous-elliptic’’ vortex ring: Nonmonotonic behavior and zero-approaching local energy densities

DOI10.1063/1.868175zbMath0825.76119OpenAlexW1989773097MaRDI QIDQ4841907

Norman J. Zabusky, Victor M. Fernandez, Vladimir Gryanik

Publication date: 28 November 1995

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

Full work available at URL: https://doi.org/10.1063/1.868175

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Incompressible viscous fluids (76D99)

Related Items

Collapse, intensification and reconnection in vortex dominated flows: Visiometrics and modeling, Vortex intensification and collapse of the Lissajous-elliptic ring: single- and multi-filament Biot-Savart simulations and visiometrics

Cites Work

• Numerical study of a three-dimensional vortex method
• Structure and dynamics of homogeneous turbulence: models and simulations
• Vortex dynamics and the existence of solutions to the Navier–Stokes equations
• The evolution of an elliptic vortex ring
• Collision of two vortex rings
• Reconnection in orthogonally interacting vortex tubes: Direct numerical simulations and quantifications
• Evidence for a singularity of the three-dimensional, incompressible Euler equations