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A general exact weak solution to the nonlinear equation of the conservation of the absolute vorticity in a thin layer of an incompressible medium on a rotating sphere is proposed. It takes into account the helicity of the point vortices and…

Fluid Dynamics · Physics 2023-05-02 Sergey G. Cherfanov , Igor I. Mokhov , Alexander G. Chefranov

Venus' atmosphere shows highly variable warm vortices over both of the planet's poles. The nature of the mechanism behind their formation and properties is still unknown. Potential vorticity is a conserved quantity when advective processes…

Earth and Planetary Astrophysics · Physics 2024-02-02 I. Garate-Lopez , R. Hueso , A. Sánchez-Lavega , A. García Muñoz

Particles are common in biological and environmental flows and are widely used in industrial and pharmaceutical applications. Their motion and flow dynamics are strongly affected by interactions with the surrounding flow structure. While…

Theories, simulations and experiments on vortex dynamics in quasi-two-dimensional magnetic materials are reviewed. These materials can be modelled by the classical two-dimensional anisotropic Heisenberg model with XY (easy-plane) symmetry.…

Condensed Matter · Physics 2007-05-23 F. G. Mertens , A. R. Bishop

We report on the occurrence of small-scale vortices in simulations of the convective solar surface. Using an eigenanalysis of the velocity gradient tensor, we find the subset of high vorticity regions in which the plasma is swirling. The…

Solar and Stellar Astrophysics · Physics 2015-05-30 R. Moll , R. H. Cameron , M. Schüssler

The formation of vortices in protoplanetary disks is explored via pseudo-spectral numerical simulations of an anelastic-gas model. This model is a coupled set of equations for vorticity and temperature in two dimensions which includes…

Astrophysics · Physics 2015-06-24 Mark R. Petersen , Keith Julien , Glen R. Stewart

The equilibrium behavior of vortices in the classical two-dimensional (2D) XY model with uncorrelated random phase shifts is investigated. The model describes Josephson-Junction arrays with positional disorder, and has ramifications in a…

Condensed Matter · Physics 2009-10-28 Lei-Han Tang

Protoplanetary disks are gaseous systems in Keplerian rotation around young stars, known to be turbulent. They include a small fraction of dust from which planets form. In the incremental scenario for planet growth, the formation of…

Earth and Planetary Astrophysics · Physics 2023-02-06 Fabiola Antonietta Gerosa , Héloïse Meheut , Jérémie Bec

Adding energy to a system through transient stirring usually leads to more disorder. In contrast, point-like vortices in a bounded two-dimensional fluid are predicted to reorder above a certain energy, forming persistent vortex clusters.…

We introduce the phenomenon of spiraling vortices in driven-dissipative (non-equilibrium) exciton-polariton condensates excited by a non-resonant pump beam. At suitable low pump intensities, these vortices are shown to spiral along circular…

Quantum Gases · Physics 2020-07-28 Xuekai Ma , Yaroslav V. Kartashov , Tingge Gao , Lluis Torner , Stefan Schumacher

Ultra-hot Jupiters, an extreme class of planets not found in our solar system, provide a unique window into atmospheric processes. The extreme temperature contrasts between their day- and night-sides pose a fundamental climate puzzle: how…

The turbulent environment from which stars form may lead to misalignment between the stellar spin and the remnant protoplanetary disk. By using hydrodynamic and magnetohydrodynamic simulations, we demonstrate that a wide range of stellar…

Earth and Planetary Astrophysics · Physics 2015-06-09 Drummond B. Fielding , Christopher F. McKee , Aristotle Socrates , Andrew J. Cunningham , Richard I. Klein

The JHU turbulence database [1] can be used with a state of the art visualisation tool [2] to generate high quality fluid dynamics videos. In this work we investigate the classical idea that smaller structures in turbulent flows, while…

Disk vortices, seen in numerical simulations of protoplanetary disks and found observationally in ALMA and VLA images of these objects, are promising sites for planet formation given their pebble trapping abilities. Previous works have…

Earth and Planetary Astrophysics · Physics 2024-06-27 Wladimir Lyra , Chao-Chin Yang , Jacob B. Simon , Orkan M. Umurhan , Andrew N. Youdin

The initial-boundary value problem of the vorticity equation has been solved numerically by an iterative method. A variety of initial vorticity distributions is specified. All of them can be described by simple mathematical functions: there…

Fluid Dynamics · Physics 2018-08-23 F. Lam

Dynamics of regular clusters of many non-touching particles falling under gravity in a viscous fluid at low Reynolds number are analysed within the point-particle model. Evolution of two families of particle configurations is determined: 2…

Soft Condensed Matter · Physics 2015-09-02 Marta Gruca , Marek Bukowicki , Maria L. Ekiel-Jezewska

Pulsar glitches are believed to originate from the dynamics of quantized vortices in the neutron superfluid interior. The outer core of a neutron star hosts a $^3\text{P}_2$ spin-triplet superfluid, whose half-integer quantum vortices…

Nuclear Theory · Physics 2026-05-28 Tatsuhiro Hattori , Muneto Nitta , Kazuyuki Sekizawa

We carry out a two-dimensional, compressible, simulation of a disk, including dust particles, to study the formation and role of vortices in protoplanetary disks. We find that anticyclonic vortices can form out of an initial random…

Astrophysics · Physics 2009-10-31 Patrick Godon , Mario Livio

We present a combined experimental and theoretical investigation of the formation and decay kinetics of vortices in two dimensional, compressible quantum turbulence. We follow the temporal evolution of a quantum fluid of exciton polaritons,…

The motion of assemblies of point vortices in a periodic parallelogram can be described by the complex position $z_j(t)$ whose time derivative is given by the sum of the complex velocities induced by other vortices and the solid rotation…

Fluid Dynamics · Physics 2007-06-08 Makoto Umeki