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We demonstrate via direct numerical simulations that a periodic, oscillating mean flow spontaneously develops from turbulently generated internal waves. We consider a minimal physical model where the fluid self-organizes in a convective…

Fluid Dynamics · Physics 2018-08-01 Louis-Alexandre Couston , Daniel Lecoanet , Benjamin Favier , Michael Le Bars

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

The interaction between planetary waves and an arbitrary zonal flow is studied from a phase-space viewpoint. Using the Wigner distribution, a planetary wave Vlasov equation is derived that includes the contribution of the mean flow to the…

Fluid Dynamics · Physics 2010-10-27 Robin D. Wordsworth

Zonal flows in rotating systems have been previously shown to be suppressed by the imposition of a background magnetic field aligned with the direction of rotation. Understanding the physics behind the suppression may be important in…

Solar and Stellar Astrophysics · Physics 2018-08-13 Navid C. Constantinou , Jeffrey B. Parker

We report a calculation of time-dependent quasi-geostrophic core flows for 1940-2010. Inverting recursively for an ensemble of solutions, we evaluate the main source of uncertainties, namely the model errors arising from interactions…

Geophysics · Physics 2016-03-01 N Gillet , D Jault , C. C. Finlay

Excitation of zonal flow by the modulational instability in the presence of mean shear flow is considered. It is shown that the small amplitude mean flow favours the modulational instability, increasing the growth rate, whereas sufficiently…

Plasma Physics · Physics 2009-11-13 V. M. Lashkin

A cylinder undergoes precession when it rotates around its axis and this axis itself rotates around another direction. In a precessing cylinder full of fluid, a steady and axisymmetric component of the azimuthal flow is generally present.…

Fluid Dynamics · Physics 2023-06-22 Donglai Gao , Patrice Meunier , Stéphane Le Dizès , Christophe Eloy

We analyse the results of direct numerical simulations of rotating convection in spherical shell geometries with stress-free boundary conditions, which develop strong zonal flows. Both the Ekman number and the Rayleigh number are varied. We…

Fluid Dynamics · Physics 2023-08-11 Justin A. Nicoski , Anne R. O'Connor , Michael A. Calkins

The zonal-mean atmospheric flow of an idealized terrestrial planet is analyzed using both numerical simulations and zonally symmetric theories, focusing largely on the limit of low planetary rotation rate. Two versions of a zonally…

Atmospheric and Oceanic Physics · Physics 2019-06-26 G. J. Colyer , G. K. Vallis

Local generation of vorticity occurs in rotating density-stratified fluids as fluid parcels move radially, expanding or contracting with respect to the background density stratification. Thermal convection in rotating 2D equatorial…

Astrophysics · Physics 2009-11-13 M. Evonuk

We study the flow forced by precession in rigid non-axisymmetric ellipsoidal containers. To do so, we revisit the inviscid and viscous analytical models that have been previously developed for the spheroidal geometry by, respectively,…

Fluid Dynamics · Physics 2017-05-17 Jerome Noir , David Cébron

A generalized reciprocal theorem is used to relate the force and torque induced on a particle in an inertia-less fluid with small variation in viscosity to integrals involving Stokes flow fields and the spatial dependence of viscosity.…

Fluid Dynamics · Physics 2025-03-20 Arjun Sharma , Peter A. Bosler , Rama Govindarajan , Donald L. Koch

General theoretical results via a Hamiltonian formulation are developed for zonal shear flows with the inclusion of the vortex stretching effect of the deformed free surface. These results include a generalization of the…

Fluid Dynamics · Physics 2007-08-27 B. K. Shivamoggi , G. J. F. van Heijst

A mechanism by which the surface zonal flows of giant planets can be gradually attenuated with depth is explored. The zonal flow is driven by an imposed forcing in a thin layer near the surface. A meridional circulation is set up, analogous…

Fluid Dynamics · Physics 2025-10-15 Laura K. Currie , Chris A. Jones

Zonal and meridional axisymmetric flows can deeply impact the rotational and chemical evolution of stars. Therefore, momentum exchanges between waves propagating in stars, differential rotation, and meridional circulation must be carefully…

Solar and Stellar Astrophysics · Physics 2016-02-17 Umin Lee , Stephane Mathis , Coralie Neiner

A theoretical interpretation is given for the observed long-distance correlations in potential fluctuations in TJ-II. The value of the correlation increases above the critical point of the transition for the emergence of the plasma edge…

Plasma Physics · Physics 2015-05-13 Ivan Calvo , Benjamin A. Carreras , Luis Garcia , M. A. Pedrosa , Carlos Hidalgo

In rotating fluids, the viscous smoothing of inviscid singular inertial waves leads to the formation of internal shear layers. In previous works, we analysed the internal shear layers excited by a viscous forcing (longitudinal libration) in…

Fluid Dynamics · Physics 2025-07-23 Jiyang He , Benjamin Favier , Stéphane Le Dizès

The flow in a cylinder driven by time harmonic oscillations of the rotation rate, called longitudinal librations, is investigated. Using a theoretical approach and axisymmetric numerical simulations, we study two distinct phenomena…

Fluid Dynamics · Physics 2012-02-21 Alban Sauret , David Cébron , Michael Le Bars , Stéphane Le Dizès

In this work, we report the excitation of inertial waves in a librating sphere even for libration frequencies where these waves are not directly forced. This spontaneous generation comes from the localized turbulence induced by the…

Fluid Dynamics · Physics 2013-09-12 Alban Sauret , David Cébron , Michael Le Bars

In this paper we examine the flow generated by coupled surface and internal small-amplitude water waves in a two-fluid layer model, where we take the upper layer to be rotational (constant vorticity) and the lower layer to be irrotational.…

Fluid Dynamics · Physics 2026-01-21 David Henry , Rossen I. Ivanov , Zisis N. Sakellaris