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We study formation of quasi two-dimensional (thin pancakes) vortex structures in three-dimensional flows, and quasi one-dimensional structures in two-dimensional hydrodynamics. These structures are formed at high Reynolds numbers, when…

Fluid Dynamics · Physics 2022-12-09 D. S. Agafontsev , E. A. Kuznetsov , A. A. Mailybaev , E. V. Sereshchenko

We provide an example for the generating matrix $A$ of a two-dimensional lattice $\Gamma = A\mathbb{Z}^2$, such that the following holds: For any sufficiently smooth and localized mother wavelet $\psi$, there is a constant…

Functional Analysis · Mathematics 2024-04-24 Nicki Holighaus , Günther Koliander

A quantitative understanding of the dominant mechanisms that govern the generation and decay of the counter-rotating vortex pair (CVP) produced by yawed wind turbines is needed to fully realize the potential of yawing for wind farm power…

Fluid Dynamics · Physics 2020-10-28 Carl R. Shapiro , Dennice F. Gayme , Charles Meneveau

We study the dynamics of vortices in an asymmetric ring channel driven by an external current I in a Corbino setup. The asymmetric potential can rectify the motion of vortices and cause a net flow without any unbiased external drive, which…

Superconductivity · Physics 2011-10-10 N. S. Lin , T. W. Heitmann , K. Yu , B. L. T. Plourde , V. R. Misko

Superfluid vortices pinned to nuclear lattice sites or magnetic flux tubes in a neutron star evolve abruptly through a sequence of metastable spatial configurations, punctuated by unpinning avalanches associated with rotational glitches, as…

High Energy Astrophysical Phenomena · Physics 2025-10-08 Thippayawis Cheunchitra , Andrew Melatos , Julian B. Carlin , George Howitt

Vortices are commonly observed in the context of classical hydrodynamics: from whirlpools after stirring the coffee in a cup to a violent atmospheric phenomenon such as a tornado, all classical vortices are characterized by an arbitrary…

Quantum Gases · Physics 2017-04-06 G. Bighin , L. Salasnich

Dynamical and statistical properties of tracer advection are studied in a family of flows produced by three point-vortices of different signs. A collapse of all three vortices to a single point is then possible. Tracer dynamics is analyzed…

Chaotic Dynamics · Physics 2007-05-23 X. Leoncini , L. Kuznetsov , G. M. Zaslavsky

We study reconnections of quantum vortices by numerically solving the governing Gross-Pitaevskii equation. We find that the minimum distance between vortices scales differently with time before and after the vortex reconnection. We also…

Other Condensed Matter · Physics 2015-06-05 S. Zuccher , M. Caliari , A. W. Baggaley , C. F. Barenghi

In light of recent renewed interest in streaks in turbulent jets, the current work explores their coexistence with vortex rings in the near field of turbulent round jets. A Reynolds number, $Re=1.5 \times 10^5$ jet is studied at two…

Fluid Dynamics · Physics 2021-04-28 Jahnavi Kantharaju , Benjamin Leclaire , Laurent Jacquin

We investigate the quasi two-dimensional Taylor-Couette system in the regime where the radius ratio is close to unity - a transitional regime between three and two dimensions. By systematically increasing the Reynolds number we observe a…

Fluid Dynamics · Physics 2015-12-02 Sebastian Altmeyer , Younghae Do , Ying-Cheng Lai

The structure and energetics of superflow around quantized vortices, and the motion inherited by these vortices from this superflow, are explored in the general setting of the superfluidity of helium-four in arbitrary dimensions. The…

Statistical Mechanics · Physics 2009-11-13 Paul M. Goldbart , Florin Bora

The distance among two counter-rotating vortex filaments satisfies a beam-type of equation according to the model derived in [15]. This equation has an explicit solution where two straight filaments travel with constant speed at a constant…

Analysis of PDEs · Mathematics 2018-06-19 Carlos García-Azpeitia

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 report experimental measurements of inertial waves generated by an oscillating cylinder in a rotating fluid. The two-dimensional wave takes place in a stationary cross-shaped wavepacket. Velocity and vorticity fields in a vertical plane…

Fluid Dynamics · Physics 2015-03-13 Pierre-Philippe Cortet , Cyril Lamriben , Frederic Moisy

When a system consisting of many interacting particles is set rotating, it may form vortices. This is familiar to us from every-day life: you can observe vortices while stirring your coffee or watching a hurricane. In the world of quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Toreblad , M. Borgh , M. Koskinen , M. Manninen , S. M. Reimann

We develop an analytical formalism to determine the statistical properties of a system consisting of an ensemble of vortices with random position in plane interacting with a turbulent field. We calculate the generating functional by…

Plasma Physics · Physics 2016-09-08 F. Spineanu , M. Vlad

Stratified wakes past an isolated conical seamount are simulated at a Froude number of $Fr = 0.15$ and Rossby numbers of $Ro = 0.15$, 0.75, and $\infty$. The wakes exhibit a K{\' a}rm{\' a}n vortex street, unlike their unstratified,…

Fluid Dynamics · Physics 2024-12-03 Jinyuan Liu , Pranav Puthan , Sutanu Sarkar

It is known that rapidly rotating turbulent flows are characterized by the emergence of simultaneous upscale and downscale energy transfer. Indeed, both numerics and experiments show the formation of large-scale anisotropic vortices…

Fluid Dynamics · Physics 2018-03-28 Michele Buzzicotti , Hussein Aluie , Luca Biferale , Moritz Linkmann

Interactions by mutual excitation in neural populations in human and animal brains create a mesoscopic order parameter that is recorded in brain waves (electroencephalogram, EEG). Spatially and spectrally distributed oscillations are…

Neurons and Cognition · Quantitative Biology 2008-03-08 Walter J. Freeman , Giuseppe Vitiello

In two-dimensional random waves, phase singularities are point-like dislocations with a behavior reminiscent of interacting particles. This -- qualitative -- consideration, stems from the spatial arrangement of these entities, which finds…

Optics · Physics 2021-06-04 L. De Angelis , L. Kuipers