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Mixing and transport of passive particles are studied in a simple kinematic model of a meandering jet flow motivated by the problem of lateral mixing and transport in the Gulf Stream. We briefly discuss a model streamfunction, Hamiltonian…

Chaotic Dynamics · Physics 2012-05-29 S. V. Prants , M. V. Budyansky , M. Yu. Uleysky , G. M. Zaslavsky

We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently…

Pattern Formation and Solitons · Physics 2013-05-29 V. N. Biktashev , M. A. Tsyganov

In geophysical and plasma contexts, zonal flows are well known to arise out of turbulence. We elucidate the transition from statistically homogeneous turbulence without zonal flows to statistically inhomogeneous turbulence with steady zonal…

Plasma Physics · Physics 2015-03-25 Jeffrey B. Parker

We continue our study of chaotic mixing and transport of passive particles in a simple model of a meandering jet flow [Prants, et al, Chaos {\bf 16}, 033117 (2006)]. In the present paper we study and explain phenomenologically a connection…

Chaotic Dynamics · Physics 2012-05-29 M. V. Budyansky , M. Yu. Uleysky , S. V. Prants

Previous studies focused primarily on wind stress being proportional to wind velocity relative to the ocean velocity, which induces a curl in wind stress with polarity opposite to the ocean mesoscale vorticity, resulting in net negative…

Atmospheric and Oceanic Physics · Physics 2024-12-31 Shikhar Rai , J. Thomas Farrar , Hussein Aluie

Informed by LES data and resolvent analysis of the mean flow, we examine the structure of turbulence in jets in the subsonic, transonic, and supersonic regimes. Spectral (frequency-space) proper orthogonal decomposition is used to extract…

Fluid Dynamics · Physics 2018-11-28 Oliver T. Schmidt , Aaron Towne , Georgios Rigas , Tim Colonius , Guillaume A. Brès

We propose a family of two-phase-fluid models for a full-cone turbulent round jet that describe its dynamics in a simple but comprehensive manner with the apex angle of the cone being the main disposable parameter. The basic assumptions are…

Fluid Dynamics · Physics 2017-09-27 Fermin Franco , Yasuhide Fukumoto

The phase space of an area-preserving map typically contains infinitely many elliptic islands embedded in a chaotic sea. Orbits near the boundary of a chaotic region have been observed to stick for long times, strongly influencing their…

Chaotic Dynamics · Physics 2016-12-28 Or Alus , Shmuel Fishman , James D. Meiss

We present a theoretical attack on the classical problem of intermittency and anomalous scaling in turbulence. Our focus is on an ideal situation: high Reynolds number isotropic turbulence driven by steady large scale forcing. Moreover, the…

Fluid Dynamics · Physics 2007-05-23 Mogens V Melander

We study the destabilization of a round liquid jet by a fast annular gas stream. We measure the frequency of the shear instability waves for several geometries and air/water velocities. We then carry out a linear stability analysis, and…

Fluid Dynamics · Physics 2018-05-09 Jean-Philippe Matas , Antoine Delon , Alain Cartellier

Formation of giant waves in sea states with two spectral maxima, centered at close wave vectors ${\bf k}_0\pm\Delta {\bf k}/2$ in the Fourier plane, is numerically simulated using the fully nonlinear model for long-crested water waves [V.…

Fluid Dynamics · Physics 2015-05-13 V. P. Ruban

We consider a two-parametric family of radially anisotropic models with non-singular density distribution in the centre. If highly eccentric orbits are locked near the centre, the characteristic growth rate of the instability is much less…

Astrophysics of Galaxies · Physics 2015-08-06 E. V. Polyachenko , I. G. Shukhman

A remarkable feature of two-dimensional turbulence is the transfer of energy from small to large scales. This process can result in the self-organization of the flow into large, coherent structures due to energy condensation at the largest…

Fluid Dynamics · Physics 2023-12-05 Anton Svirsky , Corentin Herbert , Anna Frishman

Low-mode baroclinic tides play a major role in ocean dynamics, especially for energy redistribution and deep ocean mixing. These internal waves, generated by tidal flow over submarine topography, can propagate for thousands of kilometres…

Atmospheric and Oceanic Physics · Physics 2025-12-11 Camille Moisset , Bruce Sutherland , Lois Baker

An inverse cascade - energy transfer to progressively larger scales - is a salient feature of two-dimensional turbulence. If the cascade reaches the system scale, it creates a coherent flow expected to have the largest available scale and…

Chaotic Dynamics · Physics 2017-04-05 Anna Frishman , Jason Laurie , Gregory Falkovich

In this article, a thorough characterization of the configuration composed by two concentric jets at a low Reynolds number is presented. The analysis comprises a layout with a wide range for the velocity ratio between the inner and outer…

Spiral waves in active media react to small perturbations as particle-like objects. Here we apply the asymptotic theory to the interaction of spiral waves with a localized inhomogeneity, which leads to a novel prediction: drift of the…

Pattern Formation and Solitons · Physics 2010-01-25 V. N. Biktashev , D. Barkley , I. V. Biktasheva

The motion of particles suspended in environmental turbulence is relevant to many scientific fields, from sediment transport to biological interactions to underwater robotics. At very small scales and simple shapes, we are able to…

Fluid Dynamics · Physics 2015-06-02 Margaret L. Byron

This article establishes a first-principles statistical field theory of fully developed isotropic turbulence. Applying an exact Helmholtz decomposition to the local angular momentum field ($\Lvec = \rvec \times \uvec$) reveals a segregation…

Fluid Dynamics · Physics 2026-04-22 Ahmed Farooq

The phase space of a typical Hamiltonian system contains both chaotic and regular orbits, mixed in a complex, fractal pattern. One oft-studied phenomenon is the algebraic decay of correlations and recurrence time distributions. For…

Chaotic Dynamics · Physics 2015-08-19 Or Alus , Shmuel Fishman , James D. Meiss
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