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We report a laboratory investigation of weak turbulence of water surface waves in the gravity-capillary crossover. By using time-space resolved profilometry and a bicoherence analysis, we observe that the nonlinear processes involve 3-wave…

Chaotic Dynamics · Physics 2015-06-24 Quentin Aubourg , Nicolas Mordant

In propagating wave systems, three or four-wave resonant interactions constitute a classical non-linear mechanism exchanging energy between the different scales. Here we investigate three-wave interactions for gravity-capillary surface…

The Weak Turbulence Theory is a statistical framework to describe a large ensemble of nonlinearly interacting waves. The archetypal example of such system is the ocean surface that is made of interacting surface gravity waves. Here we…

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…

Fluid Dynamics · Physics 2021-07-09 Eric Falcon , Nicolas Mordant

The nonlinear dynamics of waves at the sea surface is believed to be ruled by the Weak Turbulence framework. In order to investigate the nonlinear coupling among gravity surface waves, we developed an experiment in the Coriolis facility…

Processes of propagation and interaction of nonlinear gravity-capillary waves on the free surface of a deep non-conducting liquid with high dielectric constant under the action of a tangential electric field are numerically simulated. The…

Fluid Dynamics · Physics 2018-10-10 Evgeny A. Kochurin , Nikolay M. Zubarev

We report experiments on gravity-capillary wave turbulence on the surface of a fluid. The wave amplitudes are measured simultaneously in time and space using an optical method. The full space-time power spectrum shows that the wave energy…

Fluid Dynamics · Physics 2010-10-01 Eric Herbert , Nicolas Mordant , Eric Falcon

The aim of this work is to investigate the interaction of gravity-capillary waves resonantly excited by two moving disturbances along the free surface. The problem is formulated using the full Euler equations and numerical computations are…

Fluid Dynamics · Physics 2021-07-19 M. V. Flamarion , R. Ribeiro-Jr

We report the observation of nonlinear three-wave resonant interactions between two different branches of the dispersion relation of hydrodynamic waves, namely the gravity-capillary and sloshing modes. These atypical interactions are…

Fluid Dynamics · Physics 2023-04-26 Filip Novkoski , Chi-Tuong Pham , Eric Falcon

We report the observation of the cross-over between gravity and capillary wave turbulence on the surface of mercury. The probability density functions of the turbulent wave height are found to be asymmetric and thus non Gaussian. The…

Other Condensed Matter · Physics 2016-08-16 Eric Falcon , Claude Laroche , Stéphan Fauve

We experimentally study gravity-capillary wave turbulence on the interface between two immiscible fluids of close density with free upper surface. We locally measure the wave height at the interface between both fluids by means of a highly…

Fluid Dynamics · Physics 2017-03-08 Bruno Issenmann , Claude Laroche , Eric Falcon

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.…

The dynamics of coherent nonlinear wave groups is shown to be drastically different from the classical scenario of weakly nonlinear wave interactions. The coherent groups generate non-resonant (bound) waves which can be synchronized with…

Fluid Dynamics · Physics 2018-01-17 A. Slunyaev

In this experimental study, we investigate the interaction of gravity-capillary solitary waves generated by two surface pressure sources moving side by side at constant speed. The nonlinear response of a water surface to a single source…

Fluid Dynamics · Physics 2017-02-13 Naeem Masnadi , James H. Duncan

Triad resonances for gravity waves propagating in opposite direction with respect to uniform current are introduced. They are produced by multivalued and anisotropic dispersion and occur even in deep water. In contrast, existing literature…

Fluid Dynamics · Physics 2020-07-15 David Kouskoulas , Yaron Toledo

The nonlinear turbulent interactions between acoustic gravity waves are investigated using two dimensional nonlinear fluid simulations. The acoustic gravity waves consist of velocity and density perturbations and propagate across the…

Atmospheric and Oceanic Physics · Physics 2015-05-13 Dastgeer Shaikh , Padma K Shukla , Lennart Stenflo

The motion of a container filled with fluid perturbs the free surface and may result in spilling. In practice, most of the energy is localized in the modes of lowest frequencies (the gravest modes), and sloshing can be predicted once the…

Fluid Dynamics · Physics 2019-01-14 Guillaume Michel

We investigate experimentally turbulence of surface gravity waves in the Coriolis facility in Grenoble by using both high sensitivity local probes and a time and space resolved stereoscopic reconstruction of the water surface. We show that…

Fluid Dynamics · Physics 2019-02-22 Antoine Campagne , Roumaissa Hassaini , Ivan Redor , Joel Sommeria , Nicolas Mordant

In the last fifteen years, a great progress has been made in the understanding of the nonlinear resonance dynamics of water waves. Notions of scale- and angle-resonances have been introduced, new type of energy cascade due to nonlinear…

Exactly Solvable and Integrable Systems · Physics 2009-10-30 Elena Kartashova

This paper presents the second-order perturbation theory of the Navier-Stokes equations for free surface flows, with the wave amplitude considered as the perturbation parameter. Gravity-capillary surface waves in incompressible viscous…

Fluid Dynamics · Physics 2023-03-28 Arash Ghahraman , Gyula Bene
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