The Sensitivity of the Vortex Filament Method to Different Reconnection Models

Baggaley, Andrew W.

doi:10.1007/s10909-012-0605-8

Cited by 44 publications

(55 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The superfluid vortex core radius a 0 ≈ 10 −8 cm acts as cutoff parameter. Details and tests of the numerical techniques against the experimental and the numerical literature are published elsewhere [27][28][29][30] . Note that the local contribution is proportional to s ′ × s ′′ , in the binormal direction.…”

Section: Methodsmentioning

confidence: 99%

Local and nonlocal dynamics in superfluid turbulence

2015

Self Cite

View full text Add to dashboard Cite

In turbulent superfluid He II, the quantized vortex lines interact via the classical Biot-Savart law to form a complicated vortex tangle. We show that vortex tangles with the same vortex line density will have different energy spectra, depending on the normal fluid which feeds energy into the superfluid component, and identify the spectral signature of two forms of superfluid turbulence: Kolmogorov tangles and Vinen tangles. By decomposing the superfluid velocity field into local and nonlocal contributions, we find that in Vinen tangles the motion of vortex lines depends mainly on the local curvature, whereas in Kolmogorov tangles the long-range vortex interaction is dominant and leads to the formation of clustering of lines, in analogy to the 'worms' of ordinary turbulence.

show abstract

Section: Methodsmentioning

confidence: 99%

Local and nonlocal dynamics in superfluid turbulence

2015

Self Cite

View full text Add to dashboard Cite

show abstract

“…Secondly, in the VFM, the motion of vortex line elements is governed by the Biot-Savart law, which formulates the classical Euler equation in integral form. Since vortex reconnections are outside the realm of Euler dynamics, an ad-hoc artificial cut and paste algorithm must be implemented [7] (see Methods for further details). Because of the presence of the reconnections algorithm, the VFM cannot provide physical information at lengthscales smaller than 2∆ζ or 3∆ζ.…”

Section: Si4: Vfm Simulationsmentioning

confidence: 99%

“…Reconnections of coherent filamentary structures ( Fig. 1) play a fundamental role in the dynamics of plasmas (from astrophysics [1][2][3] to confined nuclear fusion), nematic liquid crystals [4], polymers and macromolecules [5] (including DNA [6]), optical beams [7,8], ordinary (classical) fluids [9][10][11] and quantum fluids [12,13]. In fluids, the coherent structures consist of concentrated vorticity, whose character depends on the classical or quantum nature of the fluid: in classical fluids (air, water etc.…”

mentioning

confidence: 99%

Crossover from interaction to driven regimes in quantum vortex reconnections

Galantucci

Baggaley

Parker

et al. 2019

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

Reconnections of coherent filamentary structures play a key role in the dynamics of fluids, redistributing energy and helicity among the length scales, triggering dissipative effects and inducing fine-scale mixing. Unlike ordinary (classical) fluids where vorticity is a continuous field, in superfluid helium and in atomic Bose-Einstein condensates (BECs) vorticity takes the form of isolated quantised vortex lines, which are conceptually easier to study. New experimental techniques now allow visualisation of individual vortex reconnections in helium and condensates. It has long being suspected that reconnections obey universal laws, particularly a universal scaling with time of the minimum distance between vortices δ. Here we perform a comprehensive analysis of this scaling across a range of scenarios relevant to superfluid helium and trapped condensates, combining our own numerical simulations with the previous results in the literature. We reveal that the scaling exhibit two distinct fundamental regimes: a δ ∼ t 1/2 scaling arising from the mutual interaction of the reconnecting strands and a δ ∼ t scaling when extrinsic factors drive the individual vortices. RECONNECTIONS IN CLASSICAL AND QUANTUM SYSTEMSarXiv:1812.00473v2 [cond-mat.quant-gas]

show abstract

“…21 Our method of making a reconnection follows that of other authors. 17,[22][23][24][25] Traditionally one reconnects two vortices as soon as any two points approach closer than some given distance. This critical distance is typically taken to be of the order of the resolution.…”

Section: Model and Equationsmentioning

confidence: 99%

Dissipation enhancement from a single vortex reconnection in superfluid helium

Hänninen

2013

Phys. Rev. B

View full text Add to dashboard Cite

We investigate a single vortex reconnection event in superfluid helium at finite temperatures using the vortex filament model. The reconnection induces Kelvin waves which strongly increase energy dissipation. We evaluate the mutual friction dissipation from the reconnection and show that the dissipation power has universal form, which is seen by scaling both time (measured from the reconnection event) and power by the mutual friction parameter α. This observation allows us to conclude that the Kelvin wave cascade is not important in the energy dissipation process within the range α 10 −3 . Rather, the energy is directly transferred from Kelvin waves to the normal component. Moreover, while the excited Kelvin waves greatly enhance energy dissipation, no similar change is seen in angular momentum from the reconnection event. This result has similarities with recent 3 He-B measurements. Our results also confirm another earlier observation that the minimum distance between vortices scales approximately as d ∝ √ |t − t rec |, both before and after the reconnection event.

show abstract

The Sensitivity of the Vortex Filament Method to Different Reconnection Models

Cited by 44 publications

References 48 publications

Local and nonlocal dynamics in superfluid turbulence

Local and nonlocal dynamics in superfluid turbulence

Crossover from interaction to driven regimes in quantum vortex reconnections

Dissipation enhancement from a single vortex reconnection in superfluid helium

Contact Info

Product

Resources

About