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The aim of this contribution is to make a connection between two recent results concerning the dynamics of vortices in incompressible planar flows. The first one is an asymptotic expansion, in the vanishing viscosity limit, of the solution…

Analysis of PDEs · Mathematics 2012-12-10 Thierry Gallay

We present global 2-D inviscid disk simulations with an embedded planet, emphasizing the non-linear dynamics in its co-orbital region. We find that the potential vorticity of the flow in this region is not conserved due to the presence of…

Astrophysics · Physics 2010-05-27 Josef Koller , Hui Li , Douglas N. C. Lin

Motivated by the on-going rotating cryostat experiments in ISSP, Univ. of Tokyo, we explore the textures and vortices in superfluid 3He-A phase confined in narrow cylinders, whose radii are R=50mum and 115mum. The calculations are based on…

Superconductivity · Physics 2015-05-13 Y. Tsutsumi , K. Machida

The local streamline topology classification method of Chong et al. (1990) is adapted and extended to describe the geometry of infinitesimal vortex lines. Direct numerical simulation (DNS) data of forced isotropic turbulence reveals that…

Fluid Dynamics · Physics 2023-06-22 Bajrang Sharma , Rishita Das , Sharath S. Girimaji

A circulation redistribution scheme for viscous flow is presented. Unlike other redistribution methods, it operates by transferring the circulation to a set of fixed nodes rather than neighbouring vortex elements. A new distribution of…

Fluid Dynamics · Physics 2010-09-02 O. R. Tutty

A recent analysis has revealed singular but physically relevant 2D localized vortex states with density ~ 1/r^{4/3} at r --> 0 and a convergent total norm, which are maintained by the interplay of the potential of the attraction to the…

Quantum Gases · Physics 2021-07-07 Zhaopin Chen , Boris A. Malomed

Vortices are the hallmarks of hydrodynamic flow. Recent studies indicate that strongly-interacting electrons in ultrapure conductors can display signatures of hydrodynamic behavior including negative nonlocal resistance, Poiseuille flow in…

We studied electronic states in vortex cores of slightly overdoped Bi2Sr2CaCu2Ox by scanning tunneling spectroscopy. We have found that they have stripe structures with a 4a0 width extending along the Cu-O bond directions. Vortex core…

Superconductivity · Physics 2013-07-17 Shunsuke Yoshizawa , Taiji Koseki , Ken Matsuba , Takashi Mochiku , Kazuto Hirata , Nobuhiko Nishida

We performed a systematic study on the formation of vorticity rings as the process for jet thermalization in the medium created in high-energy nuclear collisions. In this work, we expanded our previous analysis to a more realistic framework…

This paper illustrates the mechanism of U-shaped vortex formation which is found both by experiment and DNS. The main goal of this paper is to explain how the U-shaped vortex is formed and further develops. According to the results obtained…

Fluid Dynamics · Physics 2014-02-25 Ping Lu , Qin Li , Chaoqun Liu

We study quantized vortices in ${}^{3}P_{2}$ superfluids using a microscopic theory for the first time. The theory is based on the Eilenberger equation to determine the order parameters and the Bogoliubov-de Gennes (BdG) equation to obtain…

Superconductivity · Physics 2021-07-07 Yusuke Masaki , Takeshi Mizushima , Muneto Nitta

Viscous flow past a finite plate which is impulsively started in direction normal to itself is studied numerically using a high order mixed finite difference and semi-Lagrangian scheme. The goal is to resolve details of the vorticity…

Fluid Dynamics · Physics 2014-01-16 Ling Xu , Monika Nitsche

Scanning SQUID imaging of CaSb$_2$ reveals dense vortex clusters with enhanced boundary susceptibility and suppressed internal vortex motion, which features inconsistent with both isolated vortex and flux tube behaviors. These measurements…

Superconductivity · Physics 2026-04-28 Yusuke Iguchi , Nabhanila Nandi , Mohamed Oudah

Electron vortices are the quintessential signature of a viscous electron fluid. For decades, their detection relied on indirect transport measurements with persistently debated interpretations. Recently, scanning magnetometry enabled direct…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Andrey A. Shevyrin , Askhat K. Bakarov , Arthur G. Pogosov

At the very heart of turbulent fluid flows are many interacting vortices that produce a chaotic and seemingly unpredictable velocity field. Gaining new insight into the complex motion of vortices and how they can lead to topological changes…

Fluid Dynamics · Physics 2022-09-01 Karl Lydon , Sergey V. Nazarenko , Jason Laurie

Based on the solution of Atanasiu et al. (2004), a theoretical model for axisymmetric vortex flows is derived in the present study by solving the vorticity transport equation for an inviscid, incompressible fluid in cylindrical coordinates.…

Fluid Dynamics · Physics 2016-01-26 Ruo-Qian Wang

Historically, there is little faith in particle tracking velocimetry (PTV) as a tool to make quantitative measurements of thermal counterflow in He II, since tracer particle motion is complicated by influences from the normal fluid,…

Other Condensed Matter · Physics 2019-02-13 Brian Mastracci , Wei Guo

Tunneling of vortex-antivortex pairs across a superconducting film can be controlled via inductive coupling of the film to an external circuit. We study this process numerically in a toroidal film (periodic boundary conditions in both…

Quantum Physics · Physics 2007-05-23 C. D. Bass , S. Khlebnikov

Separated flows past complex geometries are modelled by discrete vortex techniques. The flows are assumed to be rotational and inviscid, and a new technique is described to determine the streamfunctions for linear shear profiles. The…

chao-dyn · Physics 2007-05-23 P. Franzese , L. Zannetti

The dynamics of vortices in Bose-Einstein condensates of dilute cold atoms can be well formulated by Gross-Pitaevskii equation. To better understand the properties of vortices, a systematic method to solve the nonlinear differential…

Pattern Formation and Solitons · Physics 2022-09-14 Hao-Hao Peng , Jian Deng , Sen-Yue Lou , Qun Wang