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The point vortex model is an idealized model for describing the dynamics of many vortices with numerical efficiency, and has been shown to be powerful in modeling the dynamics of vortices in a superfluid. The model can be extended to…

Quantum Gases · Physics 2025-04-30 Ryan Doran

Vortex shedding by a swimming sphere in a viscous incompressible fluid is studied for surface modulation characterized by a superposition of dipolar and quadrupolar, as well as for quadrupolar and octupolar displacements, varying…

Fluid Dynamics · Physics 2019-06-26 B. U. Felderhof , R. B. Jones

In this paper I consider the self-excited rotation of an elliptical cylinder towed in a viscous fluid as a canonical model of nonlinear fluid structure interactions with possible applications in the design of sensors and energy extraction…

Fluid Dynamics · Physics 2014-09-16 G D Weymouth

In the framework of 2D ideal Hydrodynamics a vortex system is defined as a smooth vorticity function having few positive local maxima and negative local minima separated by curves of zero vorticity. Invariants of such structures are…

Mathematical Physics · Physics 2020-04-22 Leonid I. Piterbarg

A class of harmonic solutions to the steady Euler equations for incompressible fluids is presented in two dimensions in circular, elliptic and bipolar coordinates. Since the velocity field is solenoidal in this case, it can be written as…

Fluid Dynamics · Physics 2014-08-06 Pablo Luis Rendón , Eugenio Ley-Koo

At a finite temperature, the stable equilibrium states of a coupled two-component superfluid with the same mass in both non-rotating and rotating cases can be obtained by studying its real time dynamics via holography, the equilibrium state…

High Energy Physics - Theory · Physics 2019-11-20 Wei-Can Yang , Chuan-Yin Xia , Hua-Bi Zeng , Hai-Qing Zhang

For the model of a compressible barotropic fluid on a two dimensional rotating Riemmanian manifold we discuss a special class of smooth solutions having a form of a steady non-singular vortex moving with a bearing field. The model can be…

Mathematical Physics · Physics 2012-01-24 Olga S. Rozanova , Jui-Ling Yu , Chin-Kun Hu

The coupled evolution of an eroding cylinder immersed in a fluid within the subcritical Reynolds range is explored with scale resolving simulations. Erosion of the cylinder is driven by fluid shear stress. K\'arm\'an vortex shedding…

Fluid Dynamics · Physics 2017-03-14 James N. Hewett , Mathieu Sellier

We investigate the stability, nonlinear development and equilibrium structure of vortices in a background shearing Keplerian flow. We make use of high-resolution global two-dimensional compressible hydrodynamic simulations. We introduce the…

Astrophysics · Physics 2009-11-13 G. Bodo , A. Tevzadze , G. Chagelishvili , A. Mignone , P. Rossi , A. Ferrari

Vortex phenomena are ubiquitous in nature, from vortices of quantum particles and living cells [1-7], to whirlpools, tornados, and spiral galaxies. Yet, effective control of vortex transport from one place to another at any scale has thus…

We study the phase distribution around a vortex in uniform motion. We consider both the cases of neutral and charged superfluids. The motion of the vortex causes the density of the system to fluctuate. This in turn produces a compensating…

Superconductivity · Physics 2009-10-31 D. M. Gaitonde

This study numerically examines the steady unconfined laminar flow of incompressible non-Newtonian power-law fluids past a pair of side-by-side counter-rotating circular cylinders using the finite element method. The cylinders…

Fluid Dynamics · Physics 2026-05-28 Lekhraj Malviya , Ram Prakash Bharti , Abhishek Kumar Lal

The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Analysis of PDEs · Mathematics 2020-12-01 Nikolay Kuznetsov

The vortex unsteadiness around a hemisphere-cylinder body at AOAs of 10 to 80 deg was studied using Large Eddy Simulation (LES) and Dynamic Mode Decomposition (DMD). The Reynolds number (Re) based on the cylinder diameter of the body is…

Fluid Dynamics · Physics 2016-10-11 Bao-Feng Ma , Shuo-Lin Yin

We study the dynamics of vortices formed in a superfluid film adsorbed on the curved two-dimensional surface of a cone. To this aim, we observe that a cone can be unrolled to a sector on a plane with periodic boundary conditions on the…

Quantum Gases · Physics 2019-06-11 Pietro Massignan , Alexander L. Fetter

In this work we study the dynamical behavior of two interacting vortex pairs, each one of them consisting of two point vortices with opposite circulation in the 2d plane. The vortices are considered as effective particles and their…

Pattern Formation and Solitons · Physics 2018-01-31 Brandon Whitchurch , Panayotis. G. Kevrekidis , Vassilis Koukouloyannis

The point vortex system is a system of longstanding interest in nonlinear dynamics, describing the motion of a two-dimensional inviscid fluid that is irrotational except at a discrete set of moving point vortices, at which the vorticity…

Fluid Dynamics · Physics 2022-11-01 Roy H. Goodman , Brandon M. Behring

It has been observed empirically that two dimensional vortices tend to cluster forming a giant vortex. To account for this observation Onsager introduced a concept of negative absolute temperature in equilibrium statistical mechanics. In…

Statistical Mechanics · Physics 2018-07-17 Renato Pakter , Yan Levin

We set up general equations of motion for point vortex systems on closed Riemannian surfaces, allowing for the case that the sum of vorticities is not zero and there hence must be counter-vorticity present. The dynamics of global…

Mathematical Physics · Physics 2022-07-13 Björn Gustafsson

When a fluid system is subject to strong rotation, centrifugal fluid motion is expected, i.e., denser (lighter) fluid moves outward (inward) from (toward) the axis of rotation. Here we demonstrate, both experimentally and numerically, the…