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Linear stability theory (LST) is often used to model the large-scale flow structures in the turbulent mixing region and near pressure field of high-speed jets. For perfectly-expanded single round jets, these models predict the dominance of…

We study the origin and bifurcations of typical classes of unstable periodic orbits in a jet flow that was introduced before as a kinematic model of chaotic advection, transport and mixing of passive scalars in meandering oceanic and…

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

The formation of large-scale vortices is an intriguing phenomenon in two-dimensional turbulence. Such organization is observed in large-scale oceanic or atmospheric flows, and can be reproduced in laboratory experiments and numerical…

Statistical Mechanics · Physics 2007-05-23 P. H. Chavanis

We study the statistical properties of orientation and rotation dynamics of elliptical tracer particles in two-dimensional, homogeneous and isotropic turbulence by direct numerical simulations. We consider both the cases in which the…

Fluid Dynamics · Physics 2014-03-19 Anupam Gupta , Dario Vincenzi , Rahul Pandit

Zonal jets and non-zonal large-scale flows are often present in forced-dissipative barotropic turbulence on a beta-plane. The dynamics underlying the formation of both zonal and non-zonal coherent structures is investigated in this work…

Atmospheric and Oceanic Physics · Physics 2015-05-05 Nikolaos A. Bakas , Navid C. Constantinou , Petros J. Ioannou

This study examines the role of stratification in the formation and persistence of eastward jets (like the Gulf Stream and Kuroshio currents). Using a wind-driven, two-layer quasi-geostrophic model in a double-gyre configuration, we…

Fluid Dynamics · Physics 2025-04-11 Lennard Miller , Bruno Deremble , Antoine Venaille

Zonal flows are well known to arise spontaneously out of turbulence. We show that for statistically averaged equations of the stochastically forced generalized Hasegawa-Mima model, steady-state zonal flows and inhomogeneous turbulence fit…

Atmospheric and Oceanic Physics · Physics 2013-10-30 Jeffrey B. Parker , John A. Krommes

Zonal jets in a barotropic setup emerge out of homogeneous turbulence through a flow-forming instability of the homogeneous turbulent state (`zonostrophic instability') which occurs as the turbulence intensity increases. This has been…

Atmospheric and Oceanic Physics · Physics 2019-03-21 Nikolaos A. Bakas , Navid C. Constantinou , Petros J. Ioannou

Stochastic Structural Stability Theory (SSST) provides an autonomous, deterministic, nonlinear dynamical system for evolving the statistical mean state of a turbulent system. In this work SSST is applied to the problem of understanding the…

Fluid Dynamics · Physics 2014-12-30 Brian F. Farrell , Petros J. Ioannou

Dynamical and statistical properties of the vortex and passive particle advection in chaotic flows generated by four and sixteen point vortices are investigated. General transport properties of these flows are found anomalous and exhibit a…

Chaotic Dynamics · Physics 2009-11-07 Xavier Leoncini , George M. Zaslavsky

Many oscillator networks are multistable, meaning that different synchronization states are realized depending on the initial conditions. In this paper, we numerically analyze a ring network of phase oscillators, in which synchronous states…

Adaptation and Self-Organizing Systems · Physics 2026-03-06 Soomin Kim , Hiroshi Kori

The global structure of the atmosphere and the oceans is a continuous source of intriguing challenges in geophysical fluid dynamics (GFD). Among these, jets are determinant in the air and water circulation around the Earth. In the last…

Atmospheric and Oceanic Physics · Physics 2021-11-17 Milo Viviani

We study the self-similarity and dissipation scalings of a turbulent planar jet and the theoretically implied mean flow scalings. Unlike turbulent wakes where such studies have already been carried out (Dairay et al. 2015; Obligado et al.…

Fluid Dynamics · Physics 2019-06-19 G Cafiero , JC Vassilicos

We demonstrate that turbulent zonal jets, analogous to Jovian ones, which are quasi-stationary, are actually metastable. After extremely long times, they randomly switch to new configurations with a different number of jets. The genericity…

Atmospheric and Oceanic Physics · Physics 2021-06-07 Eric Simonnet , Joran Rolland , Freddy Bouchet

Turbulence is prevalent in nature and industry, from large-scale wave dynamics to small-scale combustion nozzle sprays. In addition to the multi-scale nonlinear complexity and both randomness and coherent structures in its dynamics,…

In the magnetohydrodynamic approximation, system of equations is proposed which analytically describes the initial stage of origination of axially symmetric directed flows in nonequilibrium stratified plasma. The mechanism of generation is…

Plasma Physics · Physics 2024-08-27 O. G. Onishchenko , S. N. Artekha , N. S. Artekha

Chaotic dynamical systems with two or more attractors lying on invariant subspaces may, provided certain mathematical conditions are fulfilled, exhibit intermingled basins of attraction: Each basin is riddled with holes belonging to basins…

We explain the emergence and stability of the most important jets and vortices, in the highly turbulent Jupiter's atmosphere, by a statistical mechanics of the potential vorticity mixing. Using the Quasi-Geostrophic 1-1/2 layer, with…

Statistical Mechanics · Physics 2007-05-23 Freddy Bouchet , Thierry Dumont

We investigate the statistics of rogue waves occurring in the inverse cascade of surface gravity wave turbulence. In such statistically homogeneous, stationary and isotropic wave fields, low-frequency waves are generated by nonlinear…

Fluid Dynamics · Physics 2022-06-15 Guillaume Michel , Félicien Bonnefoy , Guillaume Ducrozet , Eric Falcon

Oceanic internal tides and other inertia-gravity waves propagate in an energetic turbulent flow whose lengthscales are similar to the wavelengths. Advection and refraction by this flow cause the scattering of the waves, redistributing their…

Atmospheric and Oceanic Physics · Physics 2018-11-14 Miles A. C. Savva , Jacques Vanneste