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This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

We study local power fluctuations in numerical simulations of stationary, homogeneous, isotropic turbulence in two and three dimensions with Gaussian forcing. Due to the near-Gaussianity of the one-point velocity distribution, the…

Statistical Mechanics · Physics 2009-11-13 M. M. Bandi , Sergei G. Chumakov , Colm Connaughton

In this paper, we systematically examine the stability and dynamics of vortices under the effect of a phenomenological dissipation used as a simplified model for the inclusion of the effect of finite temperatures in atomic Bose-Einstein…

In 1895, Korteweg and de Vries (KdV), derived their celebrated equation describing the motion of waves of long wavelength in shallow water. In doing so they made a number of quite reasonable assumptions, incompressibility of the water and…

Fluid Dynamics · Physics 2020-04-15 Matthew Hunt , Denys Dutykh

The problem of non-stationarity in financial markets is discussed and related to the dynamic nature of price volatility. A new measure is proposed for estimation of the current asset volatility. A simple and illustrative explanation is…

Statistical Finance · Quantitative Finance 2016-09-08 Sergey S. Stepanov

We study average flow properties in porous media using a two-dimensional network simulator. It models the dynamics of two-phase immiscible bulk flow where film flow can be neglected. The boundary conditions are biperiodic which provide a…

Soft Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

We study experimentally the statistical properties and evolution of circulation in a turbulent flow passing through a smooth 2-D contraction. The turbulence is generated with an active grids to reach $Re_{\lambda} \simeq 220$ at the inlet…

Fluid Dynamics · Physics 2024-01-31 Vivek Mugundhan , Sigurdur T. Thoroddsen

We report results from a high resolution numerical study of fluid particles transported by a fully developed turbulent flow. Single particle trajectories were followed for a time range spanning more than three decades, from less than a…

Chaotic Dynamics · Physics 2009-11-11 Luca Biferale , Federico Toschi

We derive a relationship for the vortex aspect ratio $\alpha$ (vertical half-thickness over horizontal length scale) for steady and slowly evolving vortices in rotating stratified fluids, as a function of the Brunt-Vaisala frequencies…

Fluid Dynamics · Physics 2013-08-23 Pedram Hassanzadeh , Philip S. Marcus , Patrice Le Gal

In this visualisation the instantaneous local velocity is expressed in terms of four components to capture the development of and interactions between coherent structures in turbulent flows. It is then possible to isolate the terms linked…

Fluid Dynamics · Physics 2009-10-13 Trinh Khanh Tuoc

Macroscopic equations arising out of stochastic particle systems in detailed balance (called dissipative systems or gradient flows) have a natural variational structure, which can be derived from the large-deviation rate functional for the…

Mathematical Physics · Physics 2023-10-05 Robert I. A. Patterson , D. R. Michiel Renger , Upanshu Sharma

The dynamics of dense stabilized emulsions presents a rich phenomenology including chaotic emulsification, non-Newtonian rheology and ageing dynamics at rest. Macroscopic rheology results from the complex droplet microdynamics and, in turn,…

Soft Condensed Matter · Physics 2023-07-27 Ivan Girotto , Andrea Scagliarini , Roberto Benzi , Federico Toschi

We experimentally investigate the Lagrangian dynamics of finite-sized, neutrally buoyant droplets in homogeneous isotropic turbulence. The droplet size follows a log-normal distribution whose average value decreases with increasing Reynolds…

Fluid Dynamics · Physics 2026-03-02 Lu Li , Yi-Bao Zhang , Yaning Fan , Federico Toschi , Chao Sun

The statistical properties of the $E \times B$ flux in different types of plasma turbulence simulations are investigated using probability density distribution functions (PDF). The physics included in the models ranges from two dimensional…

Plasma Physics · Physics 2009-11-10 Volker Naulin , Odd Erik Garcia , Anders Henry Nielsen , Jens Juul Rasmussen

Thin vortex tubes, with core sizes within the dissipation range, profuse in a homogeneous and isotropic turbulent flow. Their intersections with an arbitrary plane define, as a mathematical construct, a dilute gas of localized,…

Fluid Dynamics · Physics 2025-08-20 L. Moriconi , R. M. Pereira

Coherent structures created through turbulent cascades play a key role in energy dissipation and particle acceleration. In this work, we investigate both current and vorticity sheets in 3D particle-in-cell simulations of decaying…

Plasma Physics · Physics 2025-10-13 Zachary Davis , Luca Comisso , Colby Haggerty , Joonas Nättilä

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

We study stationary solutions to the continuity equation for weakly compressible flows. These describe non-equilibrium steady states of weakly dissipative dynamical systems. Compressibility is a singular perturbation that changes the steady…

Chaotic Dynamics · Physics 2010-09-14 Itzhak Fouxon

We study inertial-range statistics in the direct enstrophy cascade of two-dimensional turbulence via a numerical simulation of the forced Navier-Stokes equation. In particular, we obtain the distribution of the enstrophy flux and of the…

Chaotic Dynamics · Physics 2007-05-23 Xin Wang , Shiyi Chen , Robert E. Ecke , Gregory L. Eyink

The Lagrangian dynamics of a single fluid element within a self-gravitational matter field is intrinsically non-local due to the presence of the tidal force. This complicates the theoretical investigation of the non-linear evolution of…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Xin Wang , Alex Szalay