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The coupled motion is investigated for a mechanical system consisting of water and a body freely floating in it. Water occupies either a half-space or a layer of constant depth into which an infinitely long surface-piercing cylinder is…

Mathematical Physics · Physics 2015-03-10 Nikolay Kuznetsov

Water's density maximum at 4C makes it well suited to study internal gravity wave excitation by convection: an increasing temperature profile is unstable to convection below 4C, but stably stratified above 4C. We present numerical…

Solar and Stellar Astrophysics · Physics 2015-06-19 Daniel Lecoanet , Michael Le Bars , Keaton J. Burns , Geoffrey M. Vasil , Benjamin P. Brown , Eliot Quataert , Jeffrey S. Oishi

Special features of surface gravity waves in deep fluid flow with constant vertical shear of velocity is studied. It is found that the mean flow velocity shear leads to non-trivial modification of surface gravity wave modes dispersive…

Astrophysics · Physics 2016-08-30 G. Gogoberidze , L. Samushia , G. D. Chagelishvili , J. G. Lominadze , W. Horton

This paper addresses the floating body problem which consists in studying the interaction of surface water waves with a floating body. We propose a new formulation of the water waves problem that can easily be generalized in order to take…

Analysis of PDEs · Mathematics 2016-09-21 David Lannes

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…

Fluid Dynamics · Physics 2021-04-07 Y. Onuki , S. Joubaud , T. Dauxois

Numerically computed with high accuracy are periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow of an incompressible inviscid fluid, under gravity, without the effects of surface…

Fluid Dynamics · Physics 2023-01-25 Sergey A. Dyachenko , Vera Mikyoung Hur , Denis A. Silantyev

The problem of internal gravity waves generation by a point source moving in a stratified medium varying with respect to all spatial variables and time is considered. The fact that the characteristic horizontal scales of density variation…

Mathematical Physics · Physics 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov , Vasily A. Vakorin

The resonance mechanism in the initial stage of wind-wave generation proposed by Phillips (J. Fluid Mech., vol. 2, 1957, 417$\unicode{x2013}$445) is a foundation of wind-wave generation theory, but a precise theoretical quantification of…

Fluid Dynamics · Physics 2025-03-12 Tianyi Li , Lian Shen

The floating structure problem describes the interaction between surface water waves and a floating body, generally a boat or a wave energy converter. As shown by Lannes in [18] the equations for the fluid motion can be reduced to a set of…

Analysis of PDEs · Mathematics 2019-10-22 Edoardo Bocchi

This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface. More generally, we study the generation of internal waves by a…

Analysis of PDEs · Mathematics 2021-11-18 Vincent Duchene

The flow field of a bluff body, a circular disk, that moves horizontally in a stratified environment is studied using large eddy simulations (LES). Five levels of stratification (body Froude numbers of Fr = 0.5, 1, 1.5, 2 and 5) are…

Fluid Dynamics · Physics 2024-08-28 Divyanshu Gola , Sheel Nidhan , Sutanu Sarkar

Motivated by applications to underwater explosions and volcanic eruptions, this paper considers the evolution of an initial pressure disturbance in the ocean, including effects due to the dynamic and static compression of water and the free…

Fluid Dynamics · Physics 2026-03-04 R. Pethiyagoda , S. Das , B. Wilks , M. H. Meylan

The standard analytical approach for studying gravity free-surface waves generated by a moving body often relies upon a linearization of the physical geometry, where the body is considered asymptotically small in one or several of its…

Fluid Dynamics · Physics 2016-09-28 Philippe H. Trinh

Microswimmers, and among them aspirant microrobots, generally have to cope with flows where viscous forces are dominant, characterized by a low Reynolds number ($Re$). This implies constraints on the possible sequences of body motion, which…

Fluid Dynamics · Physics 2017-12-06 A. Djellouli , P. Marmottant , H. Djeridi , C. Quilliet , G. Coupier

Experimental wave generation in channels is usually achieved through wavemakers (moving paddles) acting on the surface of the water. Although practical for engineering purposes, wavemakers have issues: they perform poorly in the generation…

Fluid Dynamics · Physics 2025-03-24 Isis Vivanco , Bruce Cartwright , A. Ledesma Araujo , Leonardo Gordillo , Juan F. Marin

Inspired by bouncing drop experiments that revealed how macroscopic systems can exhibit wave-particle properties previously thought to be exclusive to quantum systems, we introduce here a new wave-particle system based on internal gravity…

Fluid Dynamics · Physics 2025-05-16 Simon Gsell , Patrice Le Gal

Both 1DH (dispersive and non-dispersive) and 2DH axisymmetric (approximate, non-dispersive) analytical solutions are derived for water waves generated by moving atmospheric pressures. In 1DH, three wave components can be identified: the…

Fluid Dynamics · Physics 2022-11-30 Philip L. -F. Liu , Pablo Higuera

We present the results of a combined experimental and numerical study of the generation of internal waves using the novel internal wave generator design of Gostiaux et al. (2007). This mechanism, which involves a tunable source comprised of…

Waves of spanwise velocity imposed at the walls of a plane turbulent channel flow are studied by Direct Numerical Simulations. We consider sinusoidal waves of spanwise velocity which vary in time and are modulated in space along the…

Fluid Dynamics · Physics 2015-05-13 M. Quadrio , P. Ricco , C. Viotti

A new wave energy device features a submerged ballasted air bag connected at the top to a rigid float. Under wave action, the bag expands and contracts, creating a reciprocating air flow through a turbine between the bag and another volume…

Fluid Dynamics · Physics 2017-06-21 A. Kurniawan , J. R. Chaplin , M. R. Hann , D. M. Greaves , F. J. M. Farley