2012
DOI: 10.1063/1.4731809
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Vortex tube reconnection at Re = 104

Abstract: We present simulations of the long-time dynamics of two anti-parallel vortex tubes with and without initial axial flow, at Reynolds number Re = Γ/ν = 104. Simulations were performed in a periodic domain with a remeshed vortex method using 785 × 106 particles. We quantify the vortex dynamics of the primary vortex reconnection that leads to the formation of elliptical rings with axial flow and report for the first time a subsequent collision of these rings. In the absence of initial axial flow, a −5/3 slope of t… Show more

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Cited by 37 publications
(41 citation statements)
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“…Instead, the reconnection is later, the maximum reconnection rate is marginally lower than for q = 0.970, and the overall flux reconnected is lower than in all the other simulations. This trend was also observed by [8], and we hypothesise that it comes about because the perturbations travel sufficiently fast in opposite directions along the tubes that by the time they have rotated towards one another at q = 1.455, they catch one another in a 'glancing blow' rather than meeting head-on.…”
Section: E Quantitative Change Of Fluxsupporting
confidence: 77%
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“…Instead, the reconnection is later, the maximum reconnection rate is marginally lower than for q = 0.970, and the overall flux reconnected is lower than in all the other simulations. This trend was also observed by [8], and we hypothesise that it comes about because the perturbations travel sufficiently fast in opposite directions along the tubes that by the time they have rotated towards one another at q = 1.455, they catch one another in a 'glancing blow' rather than meeting head-on.…”
Section: E Quantitative Change Of Fluxsupporting
confidence: 77%
“…31,32]. We anticipate a much more complex topology, containing for example many more nulls, at higher Reynolds number where rapid shear-flow instabilities are expected [8].…”
Section: Discussionmentioning
confidence: 92%
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