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An improved understanding of how vortices develop and propagate under pulsatile flow can shed important light on the mixing and transport processes including the transition to turbulent regime occurring in such systems. For example, the…

Fluid Dynamics · Physics 2019-12-13 Nicasio Barrere , Javier Brum , Alexandre L'Her , Gustavo L. Sarasúa , Cecilia Cabeza

Excitations in the form of quantized vortex rings are known to exist in superfluid $^{4}He$ at energies and momenta exceeding those of the Landau phonon-roton spectrum. They form a vortex branch of elementary excitations spectrum which is…

Mesoscale and Nanoscale Physics · Physics 2023-11-01 Eugene B. Kolomeisky

Using two innovations, smooth, but distinctly different, scaling laws for the numerical reconnection of pairs of initially orthogonal and anti-parallel quantum vortices are obtained using the three-dimensional Gross-Pitaevskii equations,…

Quantum Gases · Physics 2016-02-18 Cecilia Rorai , Jack Skipper , Robert M. Kerr , Katepalli R. Sreenivasan

Tangles of string typically become knotted, from macroscopic twine down to long-chain macromolecules such as DNA. Here we demonstrate that knotting also occurs in quantum wavefunctions, where the tangled filaments are vortices (nodal…

Mathematical Physics · Physics 2016-08-03 Alexander J Taylor , Mark R Dennis

This paper addresses reconnection of vortex tubes, with particular focus on the topology of the vortex lines (field lines of the vorticity). This analysis of vortex line topology reveals previously undiscovered features of the reconnection…

Fluid Dynamics · Physics 2018-05-07 Philip McGavin , David I. Pontin

The simplest case is the reconnection of a pair of antiparallel line vortices, e.g., condensation trails of an aircraft. The vortices first undergo long wave deformation (Crow waves), and then reconnect to form coherent structures. Although…

Analysis of PDEs · Mathematics 2024-05-21 Francisco de la Hoz , Sergei Iakunin

The vortex ring is usually analytically modelled in computational studies involving vortex ring and shock wave interaction. However, incompressibility assumptions of the isolated vortex ring model mostly limits its applicability to the…

Fluid Dynamics · Physics 2024-10-31 Swapnil Ashok Ahire , Avijit Chatterjee

Quantum vortices in superfluids have been an important research area for many decades. Naturally, research on this topic has focused on two and three-dimensional superfluids, in which vortex cores form points and lines, respectively. Very…

Quantum Gases · Physics 2021-05-21 Ben McCanna , Hannah M. Price

We employ detailed numerical simulations to probe the mechanism of flow reversals in two-dimensional turbulent convection. We show that the reversals occur via vortex reconnection of two attracting corner rolls having same sign of…

Fluid Dynamics · Physics 2015-06-05 Mani Chandra , Mahendra K. Verma

We study the scattering of surface water waves with irrotational draining vortices. At small depth, this system is a mathematical analogue of a rotating black hole and can be used to mimic some of its peculiar phenomenon. Using ray-tracing…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Theo Torres , Antonin Coutant , Sam Dolan , Silke Weinfurtner

An experimental study is reported which investigates the head-on collision of a laminar vortex ring of diameter D (Re{\Gamma}= 3000) on a fakir-like surface composed of circular posts of height h*=0.068 located on a planar bed. Lattices of…

Fluid Dynamics · Physics 2018-07-04 Qianhui Li , Christoph Bruecker

By analyzing trajectories of solid hydrogen tracers in superfluid $^4$He, we identify tens of thousands of individual reconnection events between quantized vortices. We characterize the dynamics by the minimum separation distance…

Statistical Mechanics · Physics 2015-05-13 M. S. Paoletti , Michael E. Fisher , D. P. Lathrop

An insight into vortex reconnections in superfluids is presented making use of analytical results and numerical simulations of the Gross--Pitaevskii model. Universal aspects of the reconnection process are investigated by considering…

Fluid Dynamics · Physics 2017-04-12 Alberto Villois , Giorgio Krstulovic , Davide Proment

An inverse turbulent cascade in a restricted two-dimensional periodic domain leads to the creation of condensate -- a pair of coherent system-size vortices. We perform extensive numerical simulations of this system and carry on detailed…

Fluid Dynamics · Physics 2015-03-10 Jason Laurie , Guido Boffetta , Gregory Falkovich , Igor Kolokolov , Vladimir Lebedev

We study numerically the reconnection of quantized vortices and the concurrent acoustic emission by the analysis of the Gross-Pitaevskii equation. Two quantized vortices reconnect following the process similar to classical vortices; they…

Soft Condensed Matter · Physics 2009-11-07 S. Ogawa , M. Tsubota , Y. Hattori

The paper presents a numerical investigation of the leading-edge vortices generated by rotating triangular wings at Reynolds number $Re=250$. A series of three-dimensional numerical simulations have been carried out using a Fourier…

Fluid Dynamics · Physics 2015-04-20 Dmitry Kolomenskiy , Yossef Elimelech , Kai Schneider

Knotted vortices such as those produced in water by Kleckner and Irvine tend to transform by reconnection to collections of unknotted and unlinked circles. The reconnection number $R(K)$ of an oriented knot of link $K$ is the least number…

Geometric Topology · Mathematics 2022-07-12 Louis H. Kauffman

Centre-vortex surfaces are mapped out in four dimensions within the framework of SU(3) lattice gauge theory to understand the role of secondary loops that develop in three-dimensional visualisations of centre-vortex structure, appearing…

High Energy Physics - Lattice · Physics 2025-09-17 Jackson A. Mickley , Chris Allton , Ryan Bignell , Derek B. Leinweber

A droplet ejection mechanism in planar two-phase mixing layers is examined. Any disturbance on the gas-liquid interface grows into a Kelvin-Helmholtz wave, and the wave crest forms a thin liquid film that flaps as the wave grows downstream.…

From a new anti-parallel initial condition using long vortices, three-dimensional turbulence forms after two reconnection steps and the formation of at least one vortex ring. The long domain is needed in order to accommodate the multiple…

Fluid Dynamics · Physics 2013-01-21 Robert M. Kerr