2008
DOI: 10.1017/s0022112007009883
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Direct numerical simulation of vortex ring evolution from the laminar to the early turbulent regime

Abstract: Direct numerical simulation is used to study the temporal development of single vortex rings at various Reynolds numbers and core thicknesses. Qualitative differences between the evolution of thin-and thick-core rings are observed leading to a correction factor to the classical equation for the ring translational velocity. We compare the obtained linear modal growth rates with previous work, highlighting the role of the wake in triply periodic numerical simulations. The transition from a laminar to a turbulent… Show more

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Cited by 65 publications
(118 citation statements)
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“…At t = 8, shown in figure 6(l), secondary vortical structures are formed around the original vortex core apart from the finger-like structures outside the core. These secondary structures have previously been termed as 'halo' vorticity and were also observed in previous DNS and experimental works (Bergdorf et al 2007;Archer et al 2008;Sullivan et al 2008). The finger-like structures are outcomes of the optimal transient energy growth, and their forms are similar to the well reported lobe structures, which however are located in the vortex core (Shadden, Dabiri & Marsden 2006).…”
Section: Dns Of the Optimally Perturbed Ringsupporting
confidence: 63%
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“…At t = 8, shown in figure 6(l), secondary vortical structures are formed around the original vortex core apart from the finger-like structures outside the core. These secondary structures have previously been termed as 'halo' vorticity and were also observed in previous DNS and experimental works (Bergdorf et al 2007;Archer et al 2008;Sullivan et al 2008). The finger-like structures are outcomes of the optimal transient energy growth, and their forms are similar to the well reported lobe structures, which however are located in the vortex core (Shadden, Dabiri & Marsden 2006).…”
Section: Dns Of the Optimally Perturbed Ringsupporting
confidence: 63%
“…From the outcome of the corresponding optimal initial perturbations (not shown here), these optimal growths are associated with the core of the ring and dominated by the elliptic instability induced by the elliptic streamlines of the base flow in the core region (Kerswell 2002;Blanco-Rodríguez & Le Dizèz 2016a,b). The wavenumber of the elliptic unstable modes has been found to vary according to the Transient growth on a vortex ring and its transition via cascade of ringlets ring's slenderness ratio (core/ring radius) and Re, and 8-10 azimuthal standing waves have been observed in previous DNSs and experiments (Archer et al 2008;Sullivan et al 2008). Over short times, e.g.…”
Section: Optimal Transient Energy Growthmentioning
confidence: 78%
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