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Finite-amplitude gravity waves at the air-water interface induce net fluid and particle transport, known as Stokes drift. While this mechanism is well understood for steady waves, transport under unsteady, evolving conditions remains poorly…

Fluid Dynamics · Physics 2026-04-29 Tatsuo Izawa , Giulio Foggi Rota , Alessandro Chiarini , Marco Edoardo Rosti

Correct prediction of particle transport by surface waves is crucial in many practical applications such as search and rescue or salvage operations and pollution tracking and clean-up efforts. Recent results have indicated transport by…

Fluid Dynamics · Physics 2023-01-26 D. Eeltink , R. Calvert , J. E. Swagemakers , Qian Xiao , T. S. van den Bremer

Periodic water waves generate Stokes drift as manifest from the orbits of Lagrangian particles not fully closing. Stokes drift can contribute to the transport of floating marine litter, including plastic. Previously, marine litter objects…

Irrotational and monochromatic surface gravity waves possess a mean Lagrangian drift which transports mass and enhances mixing in the upper ocean. In the ocean, where many surface waves are present, it is commonly assumed that the mean…

Fluid Dynamics · Physics 2026-05-20 Aidan Blaser , Luc Lenain , Nick Pizzo

A cylindrical container partially filled with a liquid in orbital shaking motion, i.e. in circular translation with fixed orientation with respect to an inertial frame of reference, generates, along with a rotating sloshing wave, a mean…

Fluid Dynamics · Physics 2017-08-16 Julien Bouvard , Wietze Herreman , Frederic Moisy

We introduce the concept of transport waves by showing that the linearized Boltzmann transport equation admits excitations in the form of waves that have well defined dispersion relations and decay times. Crucially, these waves do not…

Materials Science · Physics 2017-10-04 Andrea Cepellotti , Nicola Marzari

We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently…

Pattern Formation and Solitons · Physics 2013-05-29 V. N. Biktashev , M. A. Tsyganov

This work builds on and confirms the theoretical findings of Part 1 of this paper, Moarref & Jovanovi\'c (2010). We use direct numerical simulations of the Navier-Stokes equations to assess the efficacy of blowing and suction in the form of…

Fluid Dynamics · Physics 2011-11-29 Binh K. Lieu , Rashad Moarref , Mihailo R. Jovanović

Viscous streaming has emerged as an effective method to transport, trap, and cluster inertial particles in a fluid. Previous work has shown that this transport is well described by the Maxey-Riley equation augmented with a term representing…

Fluid Dynamics · Physics 2020-08-26 Mathieu Le Provost , Jeff D. Eldredge

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

In the dynamics generated by the suspension bridge equation, traveling waves are an essential feature. The existing literature focuses primarily on the idealized one-dimensional case, while traveling structures in two spatial dimensions…

Analysis of PDEs · Mathematics 2025-07-17 Lindsey van der Aalst , Jan Bouwe van den Berg , Jean-Philippe Lessard

We examine a two-dimensional deep-water surface gravity wave packet generated by a pressure disturbance in the Lagrangian reference frame. The pressure disturbance has the form of a narrow-banded weakly nonlinear deep-water wave packet.…

Fluid Dynamics · Physics 2025-02-25 Nick Pizzo , Gregory L. Wagner

We address the statistical theory of fields that are transported by a turbulent velocity field, both in forced and in unforced (decaying) experiments. We propose that with very few provisos on the transporting velocity field, correlation…

Chaotic Dynamics · Physics 2009-11-07 I. Arad , L. Biferale , A. Celani , I. Procaccia , M. Vergassola

An experimental study of long interfacial gravity waves was conducted in a closed wave tank containing two layers of viscous immiscible fluids. The study focuses on the development in time of the mean particle drift that occurs close to the…

The transport and distribution of organisms like larvae, seeds or litter in the ocean as well as particles in industrial flows is often approximated by a transport of tracer particles. We present a theoretical investigation to check the…

Fluid Dynamics · Physics 2024-07-26 Deoclécio Valente , Ksenia Guseva , Ulrike Feudel

It has been reported that traveling waves propagate periodically and stably in sub-excitable systems driven by noise [Phys. Rev. Lett. \textbf{88}, 138301 (2002)]. As a further investigation, here we observe different types of traveling…

Chaotic Dynamics · Physics 2008-01-17 Fen-Ni Si , Quan-Xing Liu , Jin-Zhong Zhang , Lu-Qun Zhou

Turbulent flows play an important role in many aspects of nature and technics from sea storms to transport of particles or chemicals. Transport of energy from large scales to small fluctuations is the essential feature of three-dimensional…

Fluid Dynamics · Physics 2014-11-07 V. A. Sirota , K. P. Zybin

The paper considers the application of two numerical models to simulate the evolution of steep breaking waves. The first one is a Lagrangian wave model based on equations of motion of an inviscid fluid in Lagrangian coordinates. A method…

Fluid Dynamics · Physics 2019-06-06 Eugeny Buldakov , Pablo Higuera , Dimitris Stagonas

We study the statistical properties of passive tracer transport in turbulent flows with a mean gradient, emphasizing tracer intermittency and extreme events. An analytically tractable model is developed, coupling zonal and shear velocity…

Computational Engineering, Finance, and Science · Computer Science 2025-06-10 Mustafa A Mohamad , Di Qi

Modeling turbulent flows by a random Fourier decomposition is a classical procedure in order to use simplified models of turbulence in heat transport and other applications. We carefully investigate the Fourier time series of…

Mathematical Physics · Physics 2026-05-14 Paolo Cifani , Franco Flandoli , Andrea Zanoni
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