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In a two-dimensional (2D) classical fluid, a large-scale flow structure emerges out of turbulence, which is known as the inverse energy cascade where energy flows from small to large length scales. An interesting question is whether this…

Quantum Gases · Physics 2017-07-12 Sang Won Seo , Bumsuk Ko , Joon Hyun Kim , Yong-il Shin

Quantum vortices are commonly described as funnel-like objects around which the superfluid swirls, and their motion is typically modeled in terms of massless particles. Here we show that in Fermi superfluids the normal component confined in…

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

Topological defects such as quantized vortices are one of the most striking manifestations of the superfluid nature of Bose-Einstein condensates and typical examples of quantum mechanical phenomena on a macroscopic scale. Here we…

We consider the motion of the interface separating two domains of the same fluid that moves with different velocity along the tangential direction of the interface. We assume that the fluids occupying the two domains are of constant…

Analysis of PDEs · Mathematics 2007-05-23 Sijue Wu

Pairs of numerically computed trajectories of a chaotic system may coalesce because of finite arithmetic precision. We analyse an example of this phenomenon, showing that it occurs surprisingly frequently. We argue that our model belongs to…

Chaotic Dynamics · Physics 2020-08-26 Bruce N. Roth , Michael Wilkinson

The main goal of this paper is to investigate numerically the dynamics of quantized vortex loops, just before the reconnection at finite temperature, when mutual friction essentially changes evolution of lines. Modeling is performed on the…

Other Condensed Matter · Physics 2016-05-04 V. A. Andryushchenko , L. P. Kondaurova , S. K. Nemirovskii

The present paper reports on our effort to characterize vortical interactions in complex fluid flows through the use of network analysis. In particular, we examine the vortex interactions in two-dimensional decaying isotropic turbulence and…

Fluid Dynamics · Physics 2017-05-23 Kunihiko Taira , Aditya G. Nair , Steven L. Brunton

Low Reynolds number turbulence in wall-bounded shear flows \emph{en route} to laminar flow takes the form of oblique, spatially-intermittent turbulent structures. In plane Couette flow, these emerge from uniform turbulence via a…

Fluid Dynamics · Physics 2023-06-08 S. Gomé , L. S. Tuckerman , D. Barkley

We investigate the dynamics of $N$ point vortices in the plane, in the limit of large $N$. We consider {\em relative equilibria}, which are rigidly rotating lattice-like configurations of vortices. These configurations were observed in…

Quantum Gases · Physics 2014-02-04 Yuxin Chen , Theodore Kolokolnikov , Daniel Zhirov

An iterface structure between turbulence and laminar flow is investigated in two-dimensional channel flow. This spatially localized structure not only sustains itself, but also converts laminar state into turbulence actively. In other…

Chaotic Dynamics · Physics 2016-04-13 Toshiki Teramura , Sadayoshi Toh

As an alternative way of describing the cosmological velocity field, we discuss the evolution of rotational invariants constructed from the velocity gradient tensor. Compared with the traditional divergence-vorticity decomposition, these…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-16 Xin Wang , Alex Szalay , Miguel A. Aragon-Calvo , Mark C. Neyrinck , Gregory L. Eyink

The main goal of this paper is to present a comprehensive characterization of well developed vortex tangles in a turbulent counterflow in quantum fluids (with a laminar normal fluid component). We analyze extensive numerical simulations…

Other Condensed Matter · Physics 2014-01-15 Luiza Kondaurova , Victor L'vov , Anna Pomyalov , Itamar Procaccia

Interacting systems driven far from equilibrium tend to evolve to steady states exhibiting large-scale structure and order. In two-dimensional turbulent flow the seemingly random swirling motion of a fluid can evolve towards persistent…

Convolutional autoencoders are used to deconstruct the changing dynamics of two-dimensional Kolmogorov flow as $Re$ is increased from weakly chaotic flow at $Re=40$ to a chaotic state dominated by a domain-filling vortex pair at $Re=400$.…

Fluid Dynamics · Physics 2024-11-20 Jacob Page , Joe Holey , Michael P. Brenner , Rich R. Kerswell

In the present study, we investigated flow structures and properties of elastic turbulence in straight 2D channel viscoelastic fluid flow and tested earlier observations. We discovered self-organized cycling process of weakly unstable…

Fluid Dynamics · Physics 2020-09-28 Narsing K. Jha , Victor Steinberg

In this letter, we show that coherent structures are related to folds of horseshoes which are present in chaotic systems. We develop techniques that allow us to construct coherent structures by manipulating folds in three prototypical…

chao-dyn · Physics 2008-02-03 Troy Shinbrot , J. M. Ottino

The distinctive features of equilibrium vortex structures in thin films of anisotropic superconductors in tilted magnetic fields are studied for the limits of moderate and strong anisotropy. The energetically favorable shape of isolated…

Superconductivity · Physics 2015-05-19 A. V. Samokhvalov , D. A. Savinov , A. S. Mel'nikov , A. I. Buzdin

The majority of practical flows, particularly those flows in applications of importance to transport, distribution and climate, are turbulent and as a result experience complex three-dimensional motion with increased drag compared with the…

Fluid Dynamics · Physics 2015-03-17 B. J. McKeon , A. S. Sharma , I. Jacobi

This paper examines the mechanisms of coherent structure interactions in spatially evolving turbulent free shear layers at different values of the velocity ratio parameter {\lambda}=$(U_1-U_2)/(U_1+U_2)$, where $U_1$ and $U_2 (\leq U_1)$…

Fluid Dynamics · Physics 2015-11-19 Saikishan Suryanarayanan , Roddam Narasimha
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