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Turbulent suspensions of heavy particles in incompressible flows have gained much attention in recent years. A large amount of work focused on the impact that the inertia and the dissipative dynamics of the particles have on their dynamical…

Chaotic Dynamics · Physics 2009-11-13 Jeremie Bec , Massimo Cencini , Rafaela Hillerbrand , Konstantin Turitsyn

The particle trajectories in irrotational, incompressible and inviscid deep-water surface gravity waves are open, leading to a net drift in the direction of wave propagation commonly referred to as the Stokes Drift, which is responsible for…

Fluid Dynamics · Physics 2024-09-11 Aidan Blaser , Raphaël Benamran , A. Bia Villas Bôas , Luc Lenain , Nick Pizzo

We consider binary mixtures of fluids with components having different temperatures. A new dynamical pressure term is associated with the difference of temperatures between components even if fluid viscosities are null. The non-equilibrium…

Classical Physics · Physics 2015-10-20 Henri Gouin , Tommaso Ruggeri

We consider a full set of harmonics for the Stokes wave in deep water in the absence of viscosity, and examine the role that higher harmonics play in modifying the classical Benjamin-Feir instability. Using a representation of the wave…

Fluid Dynamics · Physics 2017-04-26 Shahrdad G. Sajjadi , David L. Ross

Experiments on 2D random water wave propagation in a large wave tank are analyzed when the effect of dispersion changes. A stereoscopic profilometry technique is used to measure the water surface displacement resolved in both time and space…

Accretion disc turbulence is investigated in the framework of the shearing box approximation. The turbulence is either driven by the magneto-rotational instability or, in the non-magnetic case, by an explicit and artificial forcing term in…

Astrophysics · Physics 2008-11-26 Axel Brandenburg

In the present Letter we use the Direct Numerical Simulation (DNS) of the Navier-Stokes equation for a two-phase flow (water and air) to study the dynamics of the modulational instability of free surface waves and its contribution to the…

Chaotic Dynamics · Physics 2015-06-11 A. Iafrati , A. Babanin , M. Onorato

A weakly-nonlinear potential theory is developed for the description of deep penetrating pressure fields caused by single and colliding wave groups of collinear waves due to the second-order nonlinear interactions. The result is applied to…

Fluid Dynamics · Physics 2017-10-11 A. Slunyaev , E. Pelinovsky , H. -C. Hsu

During motion from deep to shallow water, multiple equilibria may emerge, each with identical drag - a phenomenon that can be explained by a localised amplification of the wave drag near the shallow wave speed. The implication of this is…

Fluid Dynamics · Physics 2020-07-01 GP Benham , R Bendimerad , M Benzaquen , C Clanet

Trapping and manipulation of small particles underlies many scientific and technological applications. Recently, the precise manipulation of multiple small particles was demonstrated using a Stokes trap that relies only on fluid flow…

Fluid Dynamics · Physics 2019-11-06 Anish Shenoy , Dinesh Kumar , Sascha Hilgenfeldt , Charles M. Schroeder

In 1880, Stokes examined an incompressible irrotational periodic traveling water wave under the influence of gravity and conjectured the existence of an extreme wave with a corner of $120^{\circ}$ at the crest. The first rigorous proof of…

Analysis of PDEs · Mathematics 2025-04-22 Lili Du , Chunlei Yang

Since its development, Stokesian Dynamics has been a leading approach for the dynamic simulation of suspensions of particles at arbitrary concentrations with full hydrodynamic interactions. Although originally developed for the simulation…

Fluid Dynamics · Physics 2022-12-14 Gwynn J. Elfring , John F. Brady

We investigate a higher order nonlinear Schr\"odinger equation with linear damping and weak viscosity, recently proposed as a model for deep water waves exhibiting frequency downshifting. Through analysis and numerical simulations, we…

Pattern Formation and Solitons · Physics 2023-10-17 A. Calini , C. L. Ellisor , C. M. Schober , E. Smith

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…

Following a recent demonstration of stable trapping of floating particles by stationary (monochromatic) structured water waves [Nature 638, 394 (2025)], we report dynamic water-wave tweezers that enable controllable transport of trapped…

While several articles have been written on water waves on flows with constant vorticity, little is known about the extent to which a nonconstant vorticity affects the flow structure, such as the appearance of stagnation points. In order to…

Fluid Dynamics · Physics 2022-05-18 Marcelo V. Flamarion , Roberto Ribeiro-Jr

The structure of spiral waves is investigated in super-excitable reaction-diffusion systems where the local dynamics exhibits multi-looped phase space trajectories. It is shown that such systems support stable spiral waves with broken…

chao-dyn · Physics 2015-06-24 Andrei Goryachev , Raymond Kapral

We study two-crested traveling Stokes waves on the surface of an ideal fluid with infinite depth. Following Chen and Saffman (1980), we refer to these waves as class $\mathrm{II}$ Stokes waves. The class $\mathrm{II}$ waves are found from…

Pattern Formation and Solitons · Physics 2024-11-26 Anastassiya Semenova

Steady forcing at the wall of a channel flow is studied via DNS to assess its ability of yielding reductions of turbulent friction drag. The wall forcing consists of a stationary distribution of spanwise velocity that alternates in the…

Fluid Dynamics · Physics 2015-05-14 Claudio Viotti , Maurizio Quadrio , Paolo Luchini

We provide a rigorous justification of various kinetic regimes exhibited by the nonlinear Schr\"{o}dinger equation with an additive stochastic forcing and a viscous dissipation. The importance of such damped-driven models stems from their…

Analysis of PDEs · Mathematics 2026-02-19 Ricardo Grande , Zaher Hani
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