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We show that a certain class of vortex blob approximations for ideal hydrodynamics in two dimensions can be rigorously understood as solutions to the equations of second-grade non-Newtonian fluids with zero viscosity, and initial data in…

Analysis of PDEs · Mathematics 2025-10-20 Marcel Oliver , Steve Shkoller

We demonstrate complete control over dynamics of a single superconducting vortex in a nanostructure which we coin the Single Vortex Box (SVB). Our device allows us to trap the vortex in a field-cooled aluminum nanosquare and expel it on…

Superconductivity · Physics 2024-08-05 Marek Foltyn , Konrad Norowski , Alexander Savin , Maciej Zgirski

We construct a class of spatially polynomial velocity fields that are exact solutions of the planar unsteady Navier-Stokes equation. These solutions can be used as simple benchmarks for testing numerical methods or verifying the feasibility…

Fluid Dynamics · Physics 2020-05-20 Tiemo Pedergnana , David Oettinger , Gabriel Provencher-Langlois , George Haller

Modelling the vortex structures and then translating them into the corresponding velocity fields are two essential aspects for the vortex-based modelling works in wall-bounded turbulence. This work develops a datadriven method, which allows…

Fluid Dynamics · Physics 2020-04-09 Chengyue Wang , Qi Gao , Biao Wang , Chong Pan , Jinjun Wang

We introduce a GPU-accelerated variational framework with exact projection onto the Lowest Landau Level to probe vortex patterns in rapidly rotating two-dimensional Bose-Einstein condensates. For repulsive interactions, our approach…

Quantum Gases · Physics 2025-11-18 Bao-Duy Le , Dinh-Thi Nguyen

The evolution of a vortex line following the binormal flow equation (i.e. with a velocity proportional to the local curvature in the direction of the binormal vector) has been postulated as an approximation for the evolution of vortex…

Fluid Dynamics · Physics 2024-10-10 M. Arrayás , M. A. Fontelos , M. d. M. González , C. Uriarte

We use optical images of a superfluid consisting of a weakly interacting Bose-Einstein condensate of sodium atoms to investigate the structure of quantized three-dimensional vortex filaments. We find that the measured optical contrast and…

Topological defects such as dislocations and disclinations are predicted to determine the twodimensional (2-D) melting transition. In 2-D superconducting vortex lattices, macroscopic measurements evidence melting close to the transition to…

A physics-based data-driven computational framework for the quantitative analysis of vortex kinematics and vortex-induced loads in vortex-dominated problems is presented. Such flows are characterized by the dominant influence of a small…

Fluid Dynamics · Physics 2021-07-28 Karthik Menon , Rajat Mittal

The center vortex model of quantum chromodynamic states that vortices, closed color-magnetic flux, percolate the vacuum. Vortices are seen as the relevant excitations of the vacuum, causing confinement and dynamical chiral symmetry…

High Energy Physics - Lattice · Physics 2019-12-06 Rudolf Golubich , Manfried Faber

We study desingularization of steady vortex rings in three-dimensional axisymmetric incompressible Euler fluids with swirl. Using the variational method, we construct a two-parameter family of steady vortex rings, which constitute a…

Analysis of PDEs · Mathematics 2019-09-26 Daomin Cao , Jie Wan , Weicheng Zhan

In this paper we introduce a novel Neural Networks-based approach for approximating solutions to the (2D) incompressible Navier--Stokes equations, which is an extension of so called Deep Random Vortex Methods (DRVM), that does not require…

Fluid Dynamics · Physics 2024-12-02 Vladislav Cherepanov , Sebastian W. Ertel

Quantum vortices play a crucial role in both equilibrium and dynamical phenomena in two-dimensional (2D) superfluid systems. Experimental detection of these excitations in 2D ultracold atomic gases typically involves examining density…

Quantum Gases · Physics 2025-05-20 Magnus Sesodia , Shinichi Sunami , En Chang , Erik Rydow , Christopher J. Foot , Abel Beregi

Vortex structures in dilute quantum fluids are studied using the Gross-Pitaevskii equation. The velocity and momentum of multiply quantized vortex rings are determined and their core structures analysed. For flow past a spherical object, we…

Condensed Matter · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

It is shown that laminar vortex rings can be generated by impulsive body forces having particular spatial and temporal characteristics. The method produces vortex rings in a fluid initially at rest, and once generated, the flow field…

Discrete particle simulations are widely used to study large-scale particulate flows in complex geometries where particle-particle and particle-fluid interactions require an adequate representation but the computational cost has to be kept…

Computational Engineering, Finance, and Science · Computer Science 2017-11-02 Christoph Rettinger , Ulrich Rüde

We consider the radial migration of vortices in two-dimensional isothermal gaseous disks. We find that a vortex core, orbiting at the local gas velocity, induces velocity perturbations that propagate away from the vortex as density waves.…

Earth and Planetary Astrophysics · Physics 2015-05-20 S. -J. Paardekooper , G. Lesur , J. C. B. Papaloizou

Proposed approaches to topological quantum computation based on Majorana bound states may enable new paths to fault-tolerant quantum computing. Several recent experiments have suggested that the vortex cores of topological superconductors,…

Superconductivity · Physics 2021-09-08 Chengyun Hua , Gábor B. Halász , Eugene Dumitrescu , Matthew Brahlek , Benjamin Lawrie

Impurity injection into superfluid helium is a simple yet unique method with diverse applications, including high-precision spectroscopy, quantum computing, nano/micro materialsynthesis, and flow visualisation. Quantised vortices are…

Superconductivity · Physics 2022-05-09 Yosuke Minowa , Shota Aoyagi , Sosuke Inui , Tomo Nakagawa , Gamu Asaka , Makoto Tsubota , Masaaki Ashida

In this study, we present a comprehensive numerical analysis of blood flow within human left ventricle models, with particular emphasis on optimizing simulation conditions to enhance the realism and computational efficiency of heart flow…