Experimental study of the nonlinear saturation of the elliptical instability: inertial wave turbulence versus geostrophic turbulence

DOI10.1017/jfm.2019.646zbMath1430.76192arXiv1907.10907OpenAlexW2963432859WikidataQ127198725 ScholiaQ127198725MaRDI QIDQ5235733

Thomas le Reun, Benjamin Favier, Michael Le Bars

Publication date: 14 October 2019

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10907

zbMATH Keywords

parametric instabilitywaves in rotating fluids

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Turbulent transport, mixing (76F25) Rotation in hydrodynamic stability (76E07) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (12)

Magneto-gravity-elliptic instability ⋮ Supply mechanisms of the geostrophic mode in rotating turbulence: interactions with self, waves and eddies ⋮ Critical transition in fast-rotating turbulence within highly elongated domains ⋮ Near-resonant instability of geostrophic modes: beyond Greenspan's theorem ⋮ Hysteresis and instabilities in a spheroid in precession near the resonance with the tilt-over mode ⋮ Vortex cluster arising from an axisymmetric inertial wave attractor ⋮ Zonal flow in a resonant precessing cylinder ⋮ Compressible fluid modes in rigid ellipsoids: towards modal acoustic velocimetry ⋮ Onset of three-dimensionality in rapidly rotating turbulent flows ⋮ Mean zonal flows induced by weak mechanical forcings in rotating spheroids ⋮ Internal shear layers in librating spherical shells: the case of periodic characteristic paths ⋮ Precession-driven flows in stress-free ellipsoids

Uses Software

• SciPy

Cites Work

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• Prevalence of stable periodic solutions in the forced relativistic pendulum equation
• Experimental and numerical study of mean zonal flows generated by librations of a rotating spherical cavity
• Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence
• Three-dimensional instability of a multipolar vortex in a rotating flow
• Mean zonal flows generated by librations of a rotating spherical cavity
• Secondary instabilities in rapidly rotating fluids: inertial wave breakdown
• Self-organized criticality of turbulence in strongly stratified mixing layers
• Hydrodynamic Stability
• Elliptical instability in terrestrial planets and moons
• Inviscid instabilities in rotating ellipsoids on eccentric Kepler orbits
• Parametric instability and wave turbulence driven by tidal excitation of internal waves
• On space and time correlations of isotropic and rotating turbulence
• Coriolis effects on the elliptical instability in cylindrical and spherical rotating containers
• On near resonances and symmetry breaking in forced rotating flows at moderate Rossby number
• Libration-induced mean flow in a spherical shell
• Wave turbulence in rapidly rotating flows
• On the non-linear interaction of inertial modes
• Three-dimensional instability of anticyclonic swirling flow in rotating fluid: Laboratory experiments and related theoretical predictions

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