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The impact of a turbulent flow on wind-driven oceanic near-inertial waves is examined using a linearised shallow-water model of the mixed layer. Modelling the flow as a homogeneous and stationary random process with spatial scales…

Atmospheric and Oceanic Physics · Physics 2016-07-20 Eric Danioux , Jacques Vanneste

We study modulational stability and instability in the Whitham equation, combining the dispersion relation of water waves and a nonlinearity of the shallow water equations, and modified to permit the effects of surface tension and constant…

Analysis of PDEs · Mathematics 2015-08-28 Vera Mikyoung Hur , Mathew A. Johnson

The scattering of inertia-gravity waves by large-scale geostrophic turbulence in a rapidly rotating, strongly stratified fluid leads to the diffusion of wave energy on the constant-frequency cone in wavenumber space. We derive the…

Atmospheric and Oceanic Physics · Physics 2019-05-22 Hossein Kafiabad , Miles A. C. Savva , Jacques Vanneste

Floating offshore wind turbines (FOWTs) are subjected to platform motion induced by wind and wave loads. The oscillatory movement trigger vortex instabilities, modifying the wake structure, influencing the flow reaching downstream wind…

We investigate the linear Floquet stability of two fluid layers undergoing oscillations in the direction parallel to the flexible wall that separates them. This canonical configuration is inspired by the cerebrospinal fluid flow in the…

The linear stability of a rotating, stratified, inviscid horizontal plane Couette flow in a channel is studied in the limit of strong rotation and stratification. An energy argument is used to show that unstable perturbations must have…

Fluid Dynamics · Physics 2009-11-13 J Vanneste , I Yavneh

Tidal interactions in close star-planet or binary star systems may excite inertial waves (their restoring force is the Coriolis force) in the convective region of the stars. The dissipation of these waves plays a prominent role in the…

Solar and Stellar Astrophysics · Physics 2016-12-16 Mathieu Guenel , Stéphane Mathis , Clément Baruteau , Michel Rieutord

A short, abrupt increase in energy injection rate into steady strongly-driven rotating turbulent flow is used as a probe for energy transfer in the system. The injected excessive energy is localized in time and space and its spectra differ…

Fluid Dynamics · Physics 2025-10-30 Omri Shaltiel , Alon Salhov , Omri Gat , Eran Sharon

Inertial waves in fluid regions of planets and stars play an important role in their dynamics and evolution, through energy, heat and angular momentum transport and mixing of chemicals. While inertial wave propagation in flows prescribed by…

Geophysics · Physics 2026-05-20 Lennart Kira , Jerome Noir , Daniel Lecoanet

We consider the propagation of broad optical beams through slab waveguides with a purely quadratic nonlinearity and containing linear and nonlinear long-period quasi-phase-matching gratings. An exact Floquet analysis on the periodic,…

Pattern Formation and Solitons · Physics 2009-11-07 J. F. Corney , O. Bang

We report on laboratory experiments of wave-driven rotating turbulence. A set of wavemakers produces inertial-wave beams that interact nonlinearly in the central region of a water tank mounted on a rotating platform. The forcing thus…

Fluid Dynamics · Physics 2020-10-30 Maxime Brunet , Basile Gallet , Pierre-Philippe Cortet

The two-dimensional propagation of small-amplitude waves through an infinite periodic array of freely-floating rectangular floes is considered under the assumptions of inviscid linearised wave theory. Fluid gaps between adjacent floes allow…

Fluid Dynamics · Physics 2026-03-17 Lloyd Dafydd , Richard Porter

We simulate the nonlinear hydrodynamical evolution of tidally-excited inertial waves in convective envelopes of rotating stars and giant planets modelled as spherical shells containing incompressible, viscous and adiabatically-stratified…

Solar and Stellar Astrophysics · Physics 2023-09-07 Aurélie Astoul , Adrian J. Barker

We discuss wave propagation in rotating superfluid neutron star cores, taking into account the vortex mediated mutual friction force. For models where the two fluids co-rotate in the unperturbed state, our analysis clarifies the role of…

Astrophysics · Physics 2009-11-13 T. Sidery , N. Andersson , G. L. Comer

Plane inertial waves are generated using a wavemaker, made of oscillating stacked plates, in a rotating water tank. Using particle image velocimetry, we observe that, after a transient, the primary plane wave is subject to a subharmonic…

Fluid Dynamics · Physics 2012-05-22 Guilhem Bordes , Frédéric Moisy , Thierry Dauxois , Pierre-Philippe Cortet

In this paper, we study the inertial and gravity wave transmissions near the radiative-convective boundaries in the {\it f}-plane. Two configurations have been considered: waves propagate from the convective layer to the radiative…

Fluid Dynamics · Physics 2021-04-28 Tao Cai , Cong Yu , Xing Wei

We study the dynamics of inertial particles in turbulence using datasets obtained from both direct numerical simulations and laboratory experiments of turbulent swirling flows. By analyzing time series of particle velocity increments at…

The properties of rotating turbulence driven by precession are studied using direct numerical simulations and analysis of the underlying dynamical processes in Fourier space. The study is carried out in the local rotating coordinate frame,…

Fluid Dynamics · Physics 2023-01-04 F. Pizzi , G. Mamatsashvili , A. J. Barker , A. Giesecke , F. Stefani

The instability and nonlinear evolution of directional ocean waves is investigated numerically by means of simulations of the governing kinetic equation for narrow-band surface waves. Our simulation results reveal the onset of the…

Fluid Dynamics · Physics 2015-05-14 Bengt Eliasson , Padma K. Shukla

Internal gravity waves contribute to fluid mixing and energy transport, not only in oceans but also in the atmosphere and in astrophysical bodies. We provide here the first experimental measurement of the growth rate of a resonant triad…

Fluid Dynamics · Physics 2015-06-04 Sylvain Joubaud , James Munroe , Philippe Odier , Thierry Dauxois
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