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We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

Using weak wave turbulence theory analysis, we distinguish three main regimes for 2D stratified fluids in the dimensionless parameter space defined by the Froude number and the Reynolds number: discrete wave turbulence, weak wave…

Fluid Dynamics · Physics 2026-03-30 Vincent Labarre , Michal Shavit

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…

Fluid Dynamics · Physics 2026-05-19 Omri Shaltiel , Omri Gat , Eran Sharon

The purpose of this article is numerical verification of the theory of weak turbulence. We performed numerical simulation of an ensemble of nonlinearly interacting free gravity waves (swell) by two different methods: solution of primordial…

Fluid Dynamics · Physics 2011-01-04 A. O. Korotkevich , A. Pushkarev , D. Resio , V. E. Zakharov

We find capillary wave turbulence (WT) to span multiple dynamical regimes and geometries -- from weakly to strongly nonlinear WT (SWT) and from shallow to deep domains -- all within a 40uL volume millifluidic system. This study is made…

Fluid Dynamics · Physics 2023-06-28 Jeremy Orosco , William Connacher , James Friend

One of the most important predictions in magnetohydrodynamics (MHD) is that in the presence of a uniform magnetic field $\textbf{b}_{0}$ a transition from weak to strong wave turbulence should occur when going from large to small…

Fluid Dynamics · Physics 2016-03-23 Romain Meyrand , Sebastien Galtier , Khurom H. Kiyani

We consider the long-term dynamics of nonlinear dispersive waves in a finite periodic domain. The purpose of the work is to show that the statistical properties of the wave field rely critically on the structure of the discrete resonant…

Fluid Dynamics · Physics 2020-10-14 Alexander Hrabski , Yulin Pan

By performing two parallel numerical experiments -- solving the dynamical Hamiltonian equations and solving the Hasselmann kinetic equation -- we examined the applicability of the theory of weak turbulence to the description of the time…

Atmospheric and Oceanic Physics · Physics 2011-01-04 V. E. Zakharov , A. O. Korotkevich , A. Pushkarev , D. Resio

Small-scale intermittency is studied as the deviation of the probability distributions of pseudodissipation, dissipation and enstrophy in turbulence from those of a Gaussian random velocity field. This deviation is quantified using…

Fluid Dynamics · Physics 2026-05-26 Shreyashri Sarkar , Rishita Das

A direct numerical simulation of an oblique shock wave impinging on a turbulent boundary layer at Mach number 2.28 is carried out at moderate Reynolds number, simulating flow conditions similar to those of the experiment by Dupont et al.…

Fluid Dynamics · Physics 2023-01-25 Matteo Bernardini , Giacomo Della Posta , Francesco Salvadore , Emanuele Martelli

Wave turbulence describes the long-time statistical behavior of out-of-equilibrium systems composed of weakly interacting waves. Non-Hermitian media ranging from open quantum systems to active materials can sustain wave propagation in…

The transition from weak to strong turbulence when passing from large to small scales in magnetohydrodynamic (MHD) turbulence with guide field is a cornerstone of anisotropic turbulence theory. We present the first check of this transition,…

Solar and Stellar Astrophysics · Physics 2015-06-04 Andrea Verdini , Roland Grappin

Energy transfer among various spectral components of fluctuating physical parameters in plasma occurs due to the nonlinear interactions, but these effects are typically not captured by the traditional linear spectral methods. Plasma density…

Many new models of wave turbulence -- frozen, mesoscopic, laminated, decaying, sand-pile, etc. -- have been developed in the last decade aiming to solve problems seemingly not solvable in the framework of the existing wave turbulence theory…

Fluid Dynamics · Physics 2014-06-17 Elena Tobisch

In the study of weakly turbulent wave systems possessing incomplete self-similarity it is possible to use dimensional arguments to derive the scaling exponents of the Kolmogorov-Zakharov spectra, provided the order of the resonant wave…

Fluid Dynamics · Physics 2009-11-10 Colm Connaughton , Sergey Nazarenko , Alan C. Newell

We consider a generic Hamiltonian system of nonlinear interacting waves with 3-wave interactions. In the kinetic regime of wave turbulence, which assumes weak nonlinearity and large system size, the relevant observable associated with the…

Statistical Mechanics · Physics 2022-09-07 Jules Guioth , Freddy Bouchet , Gregory L. Eyink

We investigate properties of the scale dependence and cross-scale transfer of kinetic energy in compressible three-dimensional hydrodynamic turbulence, by means of two direct numerical simulations of decaying turbulence with initial Mach…

Fluid Dynamics · Physics 2021-04-15 P. Hellinger , A. Verdini , S. Landi , E. Papini , L. Franci , L. Matteini

We study the dynamical regime of wave turbulence of a vibrated thin elastic plate based on experimental and numerical observations. We focus our study to the strongly non linear regime described in a previous letter by N. Yokoyama & M.…

Chaotic Dynamics · Physics 2015-06-16 Benjamin Miquel , Alexandros Alexakis , Christophe Josserand , Nicolas Mordant

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel

The nonlinear evolution of an ion ring instability in a low-beta magnetospheric plasma is considered. The evolution of the two-dimensional ring distribution is essentially quasilinear. Ignoring nonlinear processes the time-scale for the…

Plasma Physics · Physics 2015-05-27 M. Mithaiwala , L. Rudakov1 , G. Ganguli , C. Crabtree