Dynamical aspects of vortex reconnection of perturbed anti-parallel vortex tubes

Michael Shelley, D. I. Meiron, S. A. Orszag

Research output: Contribution to journalArticle

Abstract

Analyses numerically the phenomenon of vortex reconnection and compares the results with model predictions. Spectral methods are used to study two nearly parallel, counter rotating, vortex tubes (Re=1000-3500). Presents results for the variation of the maximum of vorticity, the time to reconnection, and other diagnostics of this flow as functions of the Reynolds number. Model predictions include eventual saturation of the axial strain, and this is observed in the full numerical simulations. However, the prediction of decay of the axial strain is not borne out in the full simulations, and the variation of the reconnection time with increasing Re is slower in the simulations than in the model (Saffman). Simulation results suggests that no singularity in the vorticity will form in a finite time for this initial condition. (after Author)

Original languageEnglish (US)
Pages (from-to)613-652
Number of pages40
JournalJournal of Fluid Mechanics
Volume246
StatePublished - 1993

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vortex tubes
Vortex flow
vortices
Vorticity
axial strain
vorticity
simulation
predictions
spectral methods
Reynolds number
counters
Computer simulation
saturation
decay

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Dynamical aspects of vortex reconnection of perturbed anti-parallel vortex tubes. / Shelley, Michael; Meiron, D. I.; Orszag, S. A.

In: Journal of Fluid Mechanics, Vol. 246, 1993, p. 613-652.

Research output: Contribution to journalArticle

Shelley, Michael ; Meiron, D. I. ; Orszag, S. A. / Dynamical aspects of vortex reconnection of perturbed anti-parallel vortex tubes. In: Journal of Fluid Mechanics. 1993 ; Vol. 246. pp. 613-652.
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