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The interaction of vortical structures with boundaries has been extensively studied in Newtonian fluids, where conditions such as no slip walls, free surfaces, or contaminated surfaces dictate whether vortices rebound, dissipate, or…

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 thermodynamics of vortices in the critically coupled abelian Higgs model, defined on the plane, are investigated by placing $N$ vortices in a region of the plane with periodic boundary conditions: a torus. It is noted that the moduli…

High Energy Physics - Theory · Physics 2009-10-22 P. A. Shah , N. S. Manton

We calculate stable arrangements for a single superfluid vortex pinned to the wall of a stationary cylindrical container. We find that, independent of the details of the pinning site, stable vortices must subtend most of the cell…

Condensed Matter · Physics 2007-05-23 R. J. Zieve , L. A. K. Donev

Waves with constant vorticity and electrohydrodynamics flows are two topics in fluid dynamics that have attracted much attention from scientists for both the mathematical challenge and their industrial applications. The coupling of electric…

Fluid Dynamics · Physics 2023-01-04 Marcelo V. Flamarion , Tao Gao , Roberto Ribeiro-Jr , Alex Doak

We use holography to investigate the dynamics of a vortex-anti-vortex dipole in a strongly coupled superfluid in 2+1 dimensions. The system is evaluated in numerical real-time simulations in order to study the evolution of the vortices as…

High Energy Physics - Theory · Physics 2021-12-08 Carlo Ewerz , Andreas Samberg , Paul Wittmer

Experiments are performed to investigate the interaction of a vortex ring (Reynolds number based on circulation (Re_Gamma = 10500) with perforated surface (open area ratio, phi_1 = 0.24 and phi_2 = 0.44) with different included angles…

Fluid Dynamics · Physics 2024-09-24 Siddhant Jain , Saini Jatin Rao , Saptarshi Basu

Vortex-antivortex pairs in 2D easy-plane ferromagnets have characteristics of solitons in two dimensions. We investigate numerically and analytically the dynamics of such vortex pairs. In particular we simulate numerically the head-on…

Condensed Matter · Physics 2009-11-07 A. S. Kovalev , S. Komineas , F. G. Mertens

We investigate a theoretical framework for modeling fluid turbulence based on the formalism of exact coherent structures (ECSs). Although highly promising, existing evidence for the role of ECSs in turbulent flows is largely circumstantial…

Fluid Dynamics · Physics 2021-08-04 Michael C. Krygier , Joshua L. Pughe-Sanford , Roman O. Grigoriev

The changes observed in the topology of superfluid helium vortices have intrigued people for some time now [1]. These vortices either extend from wall to wall, however tangled they may be in between, or else can be roughly circular and…

Condensed Matter · Physics 2007-05-23 E. Infeld , A. Senatorski

We simulate the head-on collision between vortex rings with circulation Reynolds numbers of 4000 using an adaptive, multiresolution solver based on the lattice Green's function. The simulation fidelity is established with integral metrics…

Fluid Dynamics · Physics 2024-03-07 Rahul Arun , Tim Colonius

A classical problem in fluid dynamics concerns the interaction of multiple vortex rings sharing a common axis of symmetry in an incompressible, inviscid $3$-dimensional fluid. Helmholtz (1858) observed that a pair of similar thin, coaxial…

Analysis of PDEs · Mathematics 2023-11-14 Juan Davila , Manuel del Pino , Monica Musso , Juncheng Wei

Turbulence is hard to control. A plethora of experimental methods have been developed to generate this ephemeral state of matter, leading to fundamental insights into its statistical and structural features as well as its onset at ever…

Fluid Dynamics · Physics 2022-11-08 Takumi Matsuzawa , Noah P. Mitchell , Stephane Perrard , William T. M. Irvine

Vorticity plays a prominent role in the dynamics of incompressible viscous flows. In two-dimensional freely decaying turbulence, after a short transient period, evolution is essentially driven by interactions of viscous vortices, the…

Analysis of PDEs · Mathematics 2016-10-27 Thierry Gallay , Yasunori Maekawa

Steady fluid flows have very special topology. In this paper we describe necessary and sufficient conditions on the vorticity function of a 2D ideal flow on a surface with or without boundary, for which there exists a steady flow among…

Symplectic Geometry · Mathematics 2015-11-19 Anton Izosimov , Boris Khesin

The motion of three interacting point vortices in the plane can be thought of as the motion of three geometrical points endowed with a dynamics. This motion can therefore be re-formulated in terms of dynamically evolving geometric…

Fluid Dynamics · Physics 2018-02-28 Vikas S. Krishnamurthy , Hassan Aref , Mark A. Stremler

Measuring lift force on symmetrically shaped obstacles immersed in laminar flow is the quintessential way of signalling odd viscosity. For flow past cylinders, such a lift force does not arise when incompressibility and no-slip boundary…

Fluid Dynamics · Physics 2024-11-05 Ruben Lier

The present study numerically investigates the two-dimensional mixed convective flow of air past a square cylinder placed at an angle of incidence $\alpha = 45^{\circ}$ to the free-stream. We perform direct numerical simulations (DNS) for a…

Fluid Dynamics · Physics 2025-08-08 Kavin Kabilan , Swapnil Sen , Arun K Saha

In confined rotating convection, a strong zonal flow can develop close to the side wall with a modal structure that precesses anti-cyclonically (counter to the applied rotation) along the side wall. It is surmised that this is a robust…

The effects of cavitation on the flow around a circular-cylinder array are studied by using a molecular dynamics simulation. Cavitation significantly affects on vortex shedding characteristics. As the cavitation develops,the vibration…

Fluid Dynamics · Physics 2020-02-19 Yuta Asano , Hiroshi Watanabe , Hiroshi Noguchi