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Two methods to treat wave breaking in the framework of the Hamiltonian formulation of free-surface potential flow are presented, tested, and validated. The first is an extension of Kennedy et al (2000)'s eddy-viscosity approach originally…

Fluid Dynamics · Physics 2019-10-22 Christos E. Papoutsellis , Marissa L. Yates , Bruno Simon , Michel Benoit

For the past two hundred years, parametric instabilities have been studied in various physical systems, such as fluids, mechanical devices and even inflationary cosmology. It was not until a few decades ago that this subharmonic unstable…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Vitor S. Barroso , August Geelmuyden , Zack Fifer , Sebastian Erne , Anastasios Avgoustidis , Richard J. A. Hill , Silke Weinfurtner

A numerical hydrodynamic model of a vibrated granular bed in 2D is elaborated based on a highly accurate Shock Capturing scheme applied to the compressible Navier-Stokes equations for granular flow. The hydrodynamic simulation of granular…

Statistical Mechanics · Physics 2007-05-23 Jose Antonio Carrillo , Thorsten Poeschel , Clara Saluena

Grazing incidence x-ray surface scattering has been used to investigate liquid surfaces down to the molecular scale. The free surface of water is well described by the capillary wave model (<z(q)z(-q)> ~ q-2 spectrum) up to wavevectors >…

Surface waves on a thin metal filament are described in terms of quantum electrodynamics. The interaction of surface waves with a quantum oscillator is discussed in the dipole approximation. The increase in the spontaneous emission rate of…

Optics · Physics 2010-01-05 V. V. Lidsky

We report on the experimental study of axisymmetric gravity-capillary standing waves generated by a vertically vibrating ring partially immersed into a fluid. Different regimes of standing waves are highlighted at the basin center depending…

Fluid Dynamics · Physics 2023-01-11 Jules Fillette , Stéphan Fauve , Eric Falcon

We investigate the effect of a light turbulent wind on a liquid surface, below the onset of wave generation. In that regime, the liquid surface is populated by small disorganised deformations elongated in the streamwise direction. Formally…

Faraday surface instability measurements of the critical acceleration, a_c, and wavenumber, k_c, for standing surface waves on a tetracosanol (C_24H_50) melt exhibit abrupt changes at T_s=54degC above the bulk freezing temperature. The…

Fluid Dynamics · Physics 2009-11-11 Patrick Huber , Viktor Soprunyuk , Jan Embs , Christian Wagner , Moshe Deutsch , Satish Kumar

Faraday waves are generated at the air/liquid interface inside an array of square cells. As the free surface inside each cell is destabilizing due to the oscillations, the shape of the free surface is drastically changing. Depending on the…

Fluid Dynamics · Physics 2015-05-14 G. Delon , D. Terwagne , N. Vandewalle , S. Dorbolo , H. Caps

Parametrically-excited surface waves, forced by a periodic sequence of delta-function impulses, are considered within the framework of the Zhang-Vi\~nals model (J. Fluid Mech. 1997). The exact impulsive-forcing results, in the linear and…

Pattern Formation and Solitons · Physics 2009-11-11 Anne Catlla , Jeff Porter , Mary Silber

We study the stability of the bubble rising in the presence of a soluble surfactant numerically and experimentally. For the surfactant concentration considered, the Marangoni stress almost immobilizes the interface. However, the non-zero…

The influence of chaotic capillary waves on the time-averaged shape of a liquid volume is studied experimentally and theoretically. In that context, a liquid film containing a stable hole is subjected to Faraday waves. The waves induce a…

Fluid Dynamics · Physics 2026-02-23 Steffen Bisswanger , Henning Bonart , Pyi Thein Khaing , Steffen Hardt

We are interested in the system of gravity water waves equations without surface tension. Our purpose is to study the optimal regularity thresholds for the initial conditions. In terms of Sobolev embeddings, the initial surfaces we consider…

Analysis of PDEs · Mathematics 2014-04-17 Thomas Alazard , Nicolas Burq , Claude Zuily

Photoresponsive surfactants provide a unique microfluidic driving mechanism. Since their molecular shapes change under illumination and thereby affect surface tension of fluid interfaces, Marangoni flow along the interface occurs. To…

Soft Condensed Matter · Physics 2018-11-08 Josua Grawitter , Holger Stark

We present a study of resonant vibrational coupling between adsorbates and an elastic substrate at low macroscopic coverages. In the first part of the paper we consider the situation when adsorbates form aggregates with high local coverage.…

Materials Science · Physics 2009-10-31 M. V. Pykhtin , Andrew M. Rappe , Steven P. Lewis

The onset of the {\em wave resistance}, via generation of capillary gravity waves, of a small object moving with velocity $V$, is investigated experimentally. Due to the existence of a minimum phase velocity $V_c$ for surface waves, the…

Chaotic Dynamics · Physics 2009-11-07 Teodor Burghelea , Victor Steinberg

This paper explores the interaction of weak gravitational fields with slender elastic materials in space and estimates their sensitivities for the detection of gravitational waves with frequencies between $10^{-4}$ and 1 Hz. The dynamic…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R W Tucker , C Wang

Internal friction effects are responsible for line widening of the resonance frequencies in spherical gravitational wave detectors, and result in exponentially damped oscillations of its eigenmodes with a decay time which is proportional to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. A. Lobo , J. A. Ortega

The effect of viscosity on the wave resistance experienced by a 2d perturbation moving at uniform velocity over the free surface of a fluid is investigated. The analysis is based on Rayleigh's linearized theory of capillary-gravity waves.…

Soft Condensed Matter · Physics 2009-10-31 Denis Richard , Elie Raphael

The behaviour of two dimensional binary and ternary amphiphilic fluids under flow conditions is investigated using a hydrodynamic lattice gas model. After the validation of the model in simple cases (Poiseuille flow, Darcy's law for single…

Soft Condensed Matter · Physics 2009-10-31 J. -B. Maillet , Peter V. Coveney
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