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Related papers: Zonal flows as statistical equilibria

200 papers

Basic physics of drift-wave turbulence and zonal flows has long been studied within the framework of wave-kinetic theory. Recently, this framework has been re-examined from first principles, which has led to more accurate yet still…

Plasma Physics · Physics 2021-03-17 Hongxuan Zhu , I. Y. Dodin

Stochastic Structural Stability Theory (S3T) provides analytical methods for understanding the emergence and equilibration of jets from the turbulence in planetary atmospheres based on the dynamics of the statistical mean state of the…

Fluid Dynamics · Physics 2015-03-20 Navid C. Constantinou , Brian F. Farrell , Petros J. Ioannou

Quasilinear theory is often utilized to approximate the dynamics of fluids exhibiting significant interactions between mean flows and eddies. In this paper we present a generalization of quasilinear theory to include dynamic mode…

Fluid Dynamics · Physics 2016-05-30 J. B. Marston , G. P. Chini , S. M. Tobias

The work presented here focuses on the role of zonal flows in the self-sustenance of gravito-turbulence in accretion discs. The numerical analysis is conducted using a bespoke pseudo-spectral code in fully compressible, non-linear…

Solar and Stellar Astrophysics · Physics 2019-11-01 Riccardo Vanon

A novel and generic understanding of spontaneous generation of transport barriers and zonation regimes in turbulent self-organization is presented. It associates the barrier onset to the development of a spectral gap between large scale…

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

When an asymmetric bubble collapses it generally produces a well defined high velocity jet. This is remarkable because one might expect such a collapse to produce a complex or chaotic flow rather than an ordered one. I present a dimensional…

Fluid Dynamics · Physics 2008-02-03 J. I. Katz

We study rapidly-rotating Boussinesq convection driven by internal heating in a full sphere. We use a numerical model based on the quasi-geostrophic approximation for the velocity field, whereas the temperature field is three-dimensional.…

Fluid Dynamics · Physics 2017-09-05 Céline Guervilly , Philippe Cardin

A new, frequency modulation mechanism for zonal flow pattern formation is presented. The model predicts the probability distribution function of the flow strength as well as the evolution of the characteristic spatial scale. Magnetic…

Plasma Physics · Physics 2016-09-28 Z. B. Guo , P. H. Diamond

We investigate some qualitative aspects of the dynamics of the Euler equation on a rotating sphere that are relevant or stratospheric flows. Zonal flow dominates the dynamics of the stratosphere and for most known planetary stratospheres…

Analysis of PDEs · Mathematics 2025-03-19 Adrian Constantin , Pierre Germain , Zhiwu Lin , Hao Zhu

Statistical mechanics provides an elegant explanation to the appearance of coherent structures in two-dimensional inviscid turbulence: while the fine-grained vorticity field, described by the Euler equation, becomes more and more filamented…

Statistical Mechanics · Physics 2012-06-01 Corentin Herbert , Bérengère Dubrulle , Pierre-Henri Chavanis , Didier Paillard

Giant planets like Jupiter and Saturn feature strong zonal wind patterns on their surfaces. Although several different mechanisms that may drive these jets have been proposed over the last decades, the origin of the zonal winds is still…

Earth and Planetary Astrophysics · Physics 2015-06-19 Jan Verhoeven , Stephan Stellmach

Zonal flows are mean flows in the east-west direction, which are ubiquitous on planets, and can be formed through 'zonostrophic instability': within turbulence or random waves, a weak large-scale zonal flow can grow exponentially to become…

Fluid Dynamics · Physics 2024-11-20 Chen Wang , Joanne Mason , Andrew D. Gilbert

The mean zonal flow observed on Jupiter consists of an intricate pattern of jets, or bands of zonal flow moving prograde or retrograde compared to the bulk planetary rotation. The strongest flow is a superrotating (prograde) jet near the…

Earth and Planetary Astrophysics · Physics 2026-05-25 Loren Matilsky , Geoffrey Vallis , Matthew Browning , Nicholas Brummell

The consequences of discrete particle noise for a system possessing a possibly unstable collective mode are discussed. It is argued that a zonostrophic instability (of homogeneous turbulence to the formation of zonal flows) occurs just…

Plasma Physics · Physics 2017-04-05 D. A. St-Onge , J. A. Krommes

The zonostrophic instability that leads to the emergence of zonal jets in barotropic beta-plane turbulence was analyzed through a geometric decomposition of the eddy stress tensor. The stress tensor is visualized by an eddy variance ellipse…

Atmospheric and Oceanic Physics · Physics 2023-07-19 Georgios Kontogiannis , Nikolaos Bakas

Turbulence-driven quasi-stationnary structures known as 'staircase' are investigated using the collisional drift-wave model. Two-dimensional simulations show that the ability of zonal density corrugations to suppress turbulence are affected…

Plasma Physics · Physics 2023-11-06 M. Leconte , T. Kobayashi

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

Stochastic dynamical systems arise as models for fluid particle motion in geophysical flows with random velocity fields. Escape probability (from a fluid domain) and mean residence time (in a fluid domain) quantify fluid transport between…

Dynamical Systems · Mathematics 2025-10-20 Jinqiao Duan , James R. Brannan , Vincent J. Ervin

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