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We develop a theory of turbulence of weak random gravity waves on surface of deep water in which the main nonlinear process at high-frequency part of the spectrum is a nonlocal interaction with a strong low-frequency component. The latter…

流体动力学 · 物理学 2024-09-05 A. O. Korotkevich , S. V. Nazarenko , Y. Pan , J. Shatah

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…

流体动力学 · 物理学 2021-04-07 Y. Onuki , S. Joubaud , T. Dauxois

The search for solutions to the theory of weakly non-linear internal gravity wave turbulence is an active research topic. It is notably stimulated by the fact that this regime could drive fine-scale ocean dynamics for which the…

流体动力学 · 物理学 2025-09-01 Nicolas Lanchon , Samuel Boury , Pierre-Philippe Cortet

The comprehension of stratified flows is important for geophysical and astrophysical applications. The Weak Wave Turbulence theory aims to provide a statistical description of internal gravity waves propagating in the bulk of such flows.…

流体动力学 · 物理学 2024-02-21 Vincent Labarre , Pierre Augier , Giorgio Krstulovic , Sergey Nazarenko

Internal gravity waves are an essential feature of stratified media, such as oceans and atmospheres. To investigate their dynamics, we perform simulations of the forced-dissipated kinetic equation describing the evolution of the energy…

流体动力学 · 物理学 2025-06-09 Vincent Labarre , Giorgio Krstulovic , Sergey Nazarenko

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…

大气与海洋物理 · 物理学 2019-05-22 Hossein Kafiabad , Miles A. C. Savva , Jacques Vanneste

We highlight a non-canonical yet natural choice of variables for an efficient derivation of a kinetic equation for the energy density in non-isotropic systems, including internal gravity waves on a vertical plane, inertial and Rossby waves.…

流体动力学 · 物理学 2025-10-14 Michal Shavit , Oliver Bühler , Jalal Shatah

We analyze analytically and numerically the scale invariant stationary solution to the internal wave kinetic equation. Our analysis of the resonant energy transfers shows that the leading order contributions are given (i) by triads with…

流体动力学 · 物理学 2021-04-01 Giovanni Dematteis , Yuri V. Lvov

We study the spectral energy transfer due to wave-triad interactions in the Garrett-Munk spectrum of internal gravity waves (IGWs) based on a numerical evaluation of the collision integral in the wave kinetic equation. Our numerical…

流体动力学 · 物理学 2025-09-05 Yue Wu , Yulin Pan

We prove that inter-scale transfer of kinetic energy in compressible turbulence is dominated by local interactions. In particular, our results preclude direct transfer of kinetic energy from large-scales directly to dissipation scales, such…

流体动力学 · 物理学 2015-05-20 Hussein Aluie

We perform experiments to study the inverse cascade regime of gravity wave turbulence on the surface of a fluid. Surface waves are forced at an intermediate scale corresponding to the gravity-capillary wavelength. In response to this…

流体动力学 · 物理学 2011-10-27 Luc Deike , Claude Laroche , Eric Falcon

The scattering of three-dimensional inertia-gravity waves by a turbulent geostrophic flow leads to the redistribution of their action through what is approximately a diffusion process in wavevector space. The corresponding diffusivity…

大气与海洋物理 · 物理学 2023-03-06 Michael R. Cox , Hossein A. Kafiabad , Jacques Vanneste

Stratified turbulence shows scale- and direction-dependent anisotropy and the coexistence of weak turbulence of internal gravity waves and strong turbulence of eddies. Straightforward application of standard analyses developed in isotropic…

流体动力学 · 物理学 2019-10-10 Naoto Yokoyama , Masanori Takaoka

We investigate the energy cascade in wall-bounded turbulence by analysing the interscale transfer between streamwise and spanwise length scales in periodic channels. This transfer originates from the nonlinear interactions in the advective…

流体动力学 · 物理学 2025-11-10 Joy Chen , Ricardo Garcia-Mayoral

In elastic-wave turbulence, strong turbulence appears in small wave numbers while weak turbulence does in large wave numbers. Energy transfers in the coexistence of these turbulent states are numerically investigated in both of the Fourier…

流体动力学 · 物理学 2017-08-28 Naoto Yokoyama , Masanori Takaoka

We use a coarse-graining approach to prove that inter-scale transfer of kinetic energy in compressible turbulence is dominated by local interactions. Locality here means that interactions between disparate scales decay at least as fast as a…

流体动力学 · 物理学 2011-01-04 Hussein Aluie

We present laboratory experiments on turbulence in a linearly stratified fluid driven by an ensemble of internal gravity waves which approaches statistical homogeneity and axi-symmetry. In a way similar to several recent experimental works,…

流体动力学 · 物理学 2023-05-31 Nicolas Lanchon , Daniel Odens Mora , Eduardo Monsalve , Pierre-Philippe Cortet

Although internal gravity waves are generally recognized as an important mechanism to distribute energy through the atmosphere, their dynamics near the instability is only partially understood to date. Many types of instabilities, notably…

流体动力学 · 物理学 2023-10-02 Georg Sebastian Voelker , Mark Schlutow

We calculate the net energy per unit time exchanged between two sets of modes in a generic system governed by a three-wave kinetic equation. Our calculation is based on the property of detailed energy conservation of the triadic resonant…

流体动力学 · 物理学 2023-01-18 Giovanni Dematteis , Yuri V. Lvov

Recent developments of the weak turbulence theory applied to internal waves exhibit a power-law solution of the kinetic energy equation close to the oceanic Garrett \& Munk spectrum, confirming weakly nonlinear wave interactions as a likely…

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