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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

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…

We study numerically the generation of power laws in the framework of weak turbulence theory for surface gravity waves in deep water. Starting from a random wave field, we let the system evolve numerically according to the nonlinear Euler…

混沌动力学 · 物理学 2009-11-07 M. Onorato , A. R. Osborne , D. Resio , A. Pushkarev , V. Zakharov , M. Serio , C. Brandini

We present experimental results on simultaneous space-time measurements for the gravity wave turbulence in a large laboratory flume. We compare these results with predictions of the weak turbulence theory (WTT) based on random waves, as…

混沌动力学 · 物理学 2015-05-13 S. Nazarenko , S. Lukaschuk , S. McLelland , P. Denissenko

We consider a generic dispersive massive gravity theory and numerically study its resulting modified energy and strain spectra of tensor gravitational waves (GWs) sourced by (i) fully developed turbulence during the electroweak phase…

广义相对论与量子宇宙学 · 物理学 2021-07-12 Yutong He , Axel Brandenburg , Aditya Sinha

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 last decade has seen a significant increase in the number of studies devoted to wave turbulence. Many deal with water waves, as modeling of ocean waves has historically motivated the development of weak turbulence theory, which adresses…

流体动力学 · 物理学 2021-07-09 Eric Falcon , Nicolas Mordant

Euler's equations govern the behavior of gravity waves on the surface of an incompressible, inviscid, and irrotational fluid of arbitrary depth. We investigate the spectral stability of sufficiently small-amplitude, one-dimensional Stokes…

流体动力学 · 物理学 2022-03-14 Ryan Creedon , Bernard Deconinck , Olga Trichtchenko

The weakly nonlinear dynamics of the free surface of a dielectric liquid in an electric field directed tangentially to the unperturbed boundary is investigated numerically. Within the framework of the strong field model, when the effects of…

流体动力学 · 物理学 2022-11-28 Evgeny A. Kochurin , Olga V. Zubareva , Nikolay M. Zubarev

The problem of interest in this article are waves on a layer of finite depth governed by the Euler equations in the presence of gravity, surface tension, and vertical electric fields. Perturbation theory is used to identify canonical…

流体动力学 · 物理学 2015-01-13 Matthew Hunt , Emilian Parau , Jean-Marc Vanden-broeck , Demetrios Papageorgiou

As presented in Annenkov & Shrira (2009), when a surface gravity wave field is subjected to an abrupt perturbation of external forcing, its spectrum evolves on a ``fast'' dynamic time scale of $O(\varepsilon^{-2})$, with $\varepsilon$ a…

流体动力学 · 物理学 2023-05-24 Ashleigh Simonis , Alexander Hrabski , Yulin Pan

We perform numerical simulations of the dynamical equations for free water surface in finite basin in presence of gravity. Wave Turbulence (WT) is a theory derived for describing statistics of weakly nonlinear waves in the infinite basin…

数学物理 · 物理学 2009-11-11 Yuri V. Lvov , Sergey Nazarenko , Boris Pokorni

In this paper we review recent developments in the statistical theory of weakly nonlinear dispersive waves, the subject known as Wave Turbulence (WT). We revise WT theory using a generalisation of the random phase approximation (RPA). This…

数学物理 · 物理学 2007-05-23 Yeontaek Choi , Yuri V. Lvov , Sergey Nazarenko

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

We study the long-time evolution of gravity waves on deep water exited by the stochastic external force concentrated in moderately small wave numbers. We numerically implement the primitive Euler equations for the potential flow of an ideal…

流体动力学 · 物理学 2007-05-23 A. I. Dyachenko , A. O. Korotkevich , V. E. Zakharov

Gravity wave turbulence is studied experimentally in a large wave basin where irregular waves are generated unidirectionally. The role of the basin boundary conditions (absorbing or reflecting) and of the forcing properties are…

Though highly impacting our lives, rotating turbulent flows are not well understood. These anisotropic three-dimensional disordered flows are governed by different nonlinear processes, each of which can be dominant in a different range of…

流体动力学 · 物理学 2026-05-19 Omri Shaltiel , Omri Gat , Eran Sharon

We report on the observation of gravity-capillary wave turbulence on the surface of a fluid in a high-gravity environment. By using a large-diameter centrifuge, the effective gravity acceleration is tuned up to 20 times the Earth gravity.…

Starting from the classical formulation of the weak turbulence theory in a density stratified fluid, we derive a simplified version of the kinetic equation of internal gravity wave turbulence. This equation allows us to uncover scaling laws…

流体动力学 · 物理学 2024-02-01 Nicolas Lanchon , Pierre-Philippe Cortet

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
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