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Parametric Subharmonic Instability (PSI) is one of the most important mechanisms that transfer energy from tidally-generated long internal waves to short steep waves. Breaking of these short waves results in diapycnal mixing through which…

Fluid Dynamics · Physics 2017-11-28 Yong Liang , Louis-Alexandre Couston , Qiuchen Guo , Mohammad-Reza Alam

Internal waves with frequency larger than twice the local minimum allowable wave frequency can be susceptible to parametric subharmonic instability (PSI). This instability draws energy from the wave and provides a mechanism for generating…

Fluid Dynamics · Physics 2026-05-28 Logan Knudsen , Jacob Wenegrat , James Hilditch , Leif Thomas

We present the results of a laboratory experimental study of an internal wave field generated by harmonic, spatially-periodic boundary forcing from above of a density stratification comprising a strongly-stratified, thin upper layer sitting…

Fluid Dynamics · Physics 2016-02-12 S. J. Ghaemsaidi , S. Joubaud , T. Dauxois , P. Odier , T. Peacock

Bispectral analysis of the nonlinear resonant interaction known as parametric subharmonic instability (PSI) for a coherence semidiurnal internal tide demonstrates the ability of the bispectrum to identify and quantify the transfer rate.…

Atmospheric and Oceanic Physics · Physics 2014-10-06 Eleanor Frajka-Williams , Eric Kunze , Jennifer A. MacKinnon

The parametric subharmonic instability in stratified fluids depends on the frequency and the amplitude of the primary plane wave. In this paper, we present experimental and numerical results emphasizing that the finite width of the beam…

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

We consider a two-dimensional, incompressible, inviscid fluid with variable density, subject to the action of gravity. Assuming a stable equilibrium density profile, we adopt the so-called Boussinesq approximation, which neglects density…

Analysis of PDEs · Mathematics 2025-07-15 R. Bianchini , A. Maspero , S. Pasquali

We present results from a suite of three-dimensional global hydrodynamic simulations which show that spiral density waves propagating in circumstellar disks are unstable to the growth of a parametric instability that leads to break-down of…

Earth and Planetary Astrophysics · Physics 2016-09-21 Jaehan Bae , Richard P. Nelson , Lee Hartmann , Samuel Richard

We present a laboratory study on the instability of internal wave attractors in a trapezoidal fluid domain filled with uniformly stratified fluid. Energy is injected into the system via standing-wave-type motion of a vertical wall.…

Pattern Formation and Solitons · Physics 2015-06-15 Hélène Scolan , E. V. Ermanyuk , Thierry Dauxois

We describe the effect of vibration on a confined volume of fluid which is density stratified due to its compressibility. We show that internal gravity-acoustic waves can be parametrically destabilized by the vibration. The resulting…

Fluid Dynamics · Physics 2009-10-27 Kausik S. Das , Stephen W. Morris , A. Bhattacharyay

Inertial waves transport energy and momentum in rotating fluids and are a major contributor to mixing and tidal dissipation in Earth's oceans, gaseous planets, and stellar interiors. However, their stability and breakdown mechanisms are not…

Earth and Planetary Astrophysics · Physics 2026-02-12 Valentin Skoutnev , Aurélie Astoul , Adrian J. Barker

Phase effect on the modal interaction of flow instabilities is investigated for laminar-to-turbulent transition in a flat-plate boundary layer flow. Primary and secondary instabilities are numerically studied with 2D Tollmien-Schlichting…

Fluid Dynamics · Physics 2021-10-14 Minwoo Kim , Seungtae Kim , Jiseop Lim , Ray-Sing Lin , Solkeun Jee , Donghun Park

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

A two dimensional model is introduced to study pattern formation, secondary instabilities and the transition to spatiotemporal chaos (weak turbulence) in parametric surface waves. The stability of a periodic standing wave state above onset…

patt-sol · Physics 2009-10-22 Wenbin Zhang , Jorge Vinals

A gradient-wind balanced flow with an elliptic streamline parametrically excites internal inertia-gravity waves through ageostrophic anticyclonic instability (AAI). This study numerically investigates the breaking of internal waves and the…

Fluid Dynamics · Physics 2023-06-23 Yohei Onuki , Sylvain Joubaud , Thierry Dauxois

We investigate the stability of stratified fluid layers undergoing homogeneous and periodic tidal deformation. We first introduce a local model which allows to study velocity and buoyancy fluctuations in a Lagrangian domain periodically…

Fluid Dynamics · Physics 2018-03-14 Thomas Le Reun , Benjamin Favier , Michael Le Bars

The effect on parametric instability growth of pump wave incoherence is treated by deriving a set of equations governing the space-time evolution of the ensemble-average coupled-mode amplitudes and intensities. Particular attention is paid…

Plasma Physics · Physics 2007-10-12 D. Pesme , R. L. Berger , E. A. Williams , A. Bourdier , A. Bortuzzo-Lesne

We have recently shown that spiral density waves propagating in accretion disks can undergo a parametric instability by resonantly coupling with and transferring energy into pairs of inertial waves (or inertial-gravity waves when buoyancy…

Earth and Planetary Astrophysics · Physics 2016-12-21 Jaehan Bae , Richard P. Nelson , Lee Hartmann

We investigate the phenomenon of parametric instability in discrete models of spatiotemporally modulated materials. These materials are celebrated in part because they exhibit nonreciprocal transmission characteristics. However, parametric…

Materials Science · Physics 2025-10-20 Jiuda Wu , Behrooz Yousefzadeh

With the aim of assessing internal wave-driven mixing in the ocean, we develop a new technique for direct numerical simulations of stratified turbulence. Since the spatial scale of oceanic internal gravity waves is typically much larger…

Fluid Dynamics · Physics 2021-04-07 Y. Onuki , S. Joubaud , T. Dauxois
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