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Lagrangian measurements of tracer particle dispersion in stratified turbulence are presented from a large-scale experiment achieving both high buoyancy Reynolds numbers and low Froude numbers -- a regime characteristic of oceanic…

The flow structures beneath waves have received significant attention from both theoretical and numerical perspectives. Most studies on this topic assume a flat bottom, leading to questions about the effects of variable bottom topography.…

Fluid Dynamics · Physics 2025-01-30 L. G. Martins , M. V. Flamarion , R. Ribeiro-Jr

In the present study, we conduct direct numerical simulations of two-way force-coupled particle-laden compressible turbulent boundary layers at the free-stream Mach number of 2.0 for the purpose of examining the effects of particles on the…

Fluid Dynamics · Physics 2024-07-01 Ming Yu , Yibin Du , Qian Wang , Siwei Dong , Xianxu Yuan

We study the dynamic pressure in an irrotational solitary wave propagating at the surface of water over a flat bed, under the influence of gravity. We consider the nonlinear regime, that is, the case of waves of moderate to large amplitude.…

Analysis of PDEs · Mathematics 2017-01-12 François Genoud

Measuring the directional distribution of ocean waves is a difficult task in ocean wave research. For many decades, wind-generated waves are assumed to propagate primarily in the wind direction. The concept is applied either implicitly or…

Atmospheric and Oceanic Physics · Physics 2019-07-03 Paul A. Hwang , David W. Wang , James Yungel , Robert N. Swift , William B. Krabill

We study theoretically the capillary-gravity waves created at the water-air interface by a small two-dimensional perturbation when a depth-dependent current is initially present in the fluid. Assuming linear wave theory, we derive a general…

Soft Condensed Matter · Physics 2015-05-28 Michael Benzaquen , Elie Raphael

As three particles are advected by a turbulent flow, they separate from each other and develop non trivial geometries, which effectively reflect the structure of the turbulence. We investigate here the geometry, in a statistical sense, of…

Chaotic Dynamics · Physics 2007-05-23 M. A. I. Khan , A. Pumir , J. C. Vassilicos

In the study of surface waves in the presence of a shear current, a useful and much studied model is that in which the shear flow has constant vorticity. Recently it was shown by Constantin [Eur. J. Mech. B/Fluids 30 (2011) 12-16] that a…

Fluid Dynamics · Physics 2016-10-19 Simen Å. Ellingsen

We study dispersion properties of linear surface gravity waves propagating in an arbitrary direction atop a current profile of depth-varying magnitude using a piecewise linear approximation, and develop a robust numerical framework for…

Fluid Dynamics · Physics 2017-08-02 Benjamin K. Smeltzer , Simen Å. Ellingsen

Upper-ocean turbulent flows at horizontal length scales smaller than the deformation radius depart from geostrophic equilibrium and develop important vertical velocities, which are key to marine ecology and climatic processes. Due to their…

Fluid Dynamics · Physics 2023-12-04 Michael Maalouly , Guillaume Lapeyre , Bastien Cozian , Gilmar Mompean , Stefano Berti

Effective field theory descriptions of surface waves on flowing fluids have tended to assume that the flow is irrotational, but this assumption is often impractical due to boundary layer friction and flow recirculation. Here we develop an…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Alessia Biondi , Scott Robertson , Germain Rousseaux

A turbulent flow is maintained by an external supply of kinetic energy, which is eventually dissipated into heat at steep velocity gradients. The scale at which energy is supplied greatly differs from the scale at which energy is…

Fluid Dynamics · Physics 2015-06-30 Haitao Xu , Alain Pumir , Eberhard Bodenschatz

Vortical flows in shallow water interact with long surface waves by virtue of the nonlinear terms of the fluid equations. Analytical formulae are derived that quantify the spontaneous generation of such waves by unsteady vorticity as well…

chao-dyn · Physics 2009-10-22 Enrique cerda , Fernando Lund

Coupled mixed convective and stratified systems are common in natural flows. To study experimentally the associated dynamics, we use a singular property of water: its non-linear equation of state is characterised by a maximum density close…

Fluid Dynamics · Physics 2020-11-10 Pierre Léard , Benjamin Favier , Patrice Le Gal , Michael Le Bars

We construct small-amplitude steady periodic gravity water waves arising as the free surface of water flows that contain stagnation points and possess a discontinuous distribution of vorticity in the sense that the flows consist of two…

Analysis of PDEs · Mathematics 2015-03-05 Calin Iulian Martin , Bogdan-Vasile Matioc

The purpose of this paper is to examine the Lagrangian stochastic modeling of the fluid velocity seen by inertial particles in a nonhomogeneous turbulent flow. A new Langevin-type model, compatible with the transport equation of the drift…

Fluid Dynamics · Physics 2009-07-01 Boris Arcen , Anne Tanière

We investigate the turbulence below a quasi-flat free surface, focusing on the energy transport in space and across scales. We leverage a large zero-mean-flow tank where homogeneous turbulence is generated by randomly actuated jets. A wide…

Fluid Dynamics · Physics 2024-12-18 Daniel J. Ruth , Filippo Coletti

In this work we discuss an approximate model for the propagation of deep irrotational water waves, specifically the model obtained by keeping only quadratic nonlinearities in the water waves system under the Zakharov/Craig-Sulem…

Analysis of PDEs · Mathematics 2025-01-06 Vincent Duchêne , Benjamin Melinand

We present laboratory experiments of surface wave turbulence excited by paddles in the deep water regime. The free surface is seeded with buoyant particles that are advected and dispersed by the flow. Positions and velocities of the…

Particles are a widespread tool for obtaining information from fluid flows. When Eulerian data are unavailable, they may be employed to estimate flow fields or to identify coherent flow structures. Here we numerically examine the…

Fluid Dynamics · Physics 2023-06-22 O. Outrata , M. Pavelka , J. Hron , M. La Mantia , J. I. Polanco , G. Krstulovic