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The evolution of a turbulent tangle of quantum vortices in presence of finite-size active particles is studied by means of numerical simulations of the Gross-Pitaevskii equation. Particles are modeled as potentials depleting the superfluid…

Fluid Dynamics · Physics 2020-07-01 Umberto Giuriato , Giorgio Krstulovic

We present a numerical investigation of two-dimensional decaying turbulence in the Lagrangian framework. Focusing on single particle statistics, we investigate Lagrangian trajectories in a freely evolving turbulent velocity field. The…

Fluid Dynamics · Physics 2009-11-13 Michael Wilczek , Oliver Kamps , Rudolf Friedrich

We study motion of small particles in turbulence when the particle relaxation time falls in the range of inertial time-scales of the flow. Due to inertia, particles drift relative to the fluid. We show that the drift velocity is close to…

Chaotic Dynamics · Physics 2007-05-23 I. Fouxon , P. Horvai

We investigate the spatio-temporal quantity of coherence for turbulent velocity fluctuations at spatial distances of the order or larger than the integral length scale $l_{0}$. Using controlled laboratory experiments, an exponential decay…

Fluid Dynamics · Physics 2022-01-19 G. Prabhudesai , S. Perrard , F. Pétrélis , S. Fauve

We formulate a perturbative approximation to gravitational instability, based on Lagrangian hydrodynamics in Newtonian cosmology. We take account of `pressure' effect of fluid, which is kinematically caused by velocity dispersion, to aim…

Astrophysics · Physics 2009-11-07 Masaaki Morita , Takayuki Tatekawa

The Landau-Lifshitz fluctuating hydrodynamics is used to study the statistical properties of the linearized Kolmogorov flow. The relative simplicity of this flow allows a detailed analysis of the fluctuation spectrum from near equilibrium…

Condensed Matter · Physics 2009-11-07 I. Bena , M. Malek Mansour , F. Baras

Particle tracking in turbulent flows is fundamental to the study of the transport of tracers, inertial particles or even active objects in space and time, i.e. the Lagrangian frame of reference. It provides experimental tests of theoretical…

Fluid Dynamics · Physics 2024-04-08 Christian Küchler , Antonio Ibanez Landeta , Jan Molacek , Eberhard Bodenschatz

We report an experimental investigation of various statistical properties of the spatial Fourier modes of the vorticity field in turbulent jets for a large range of Reynolds numbers ($530 \leq R_{\lambda} \leq 6100$). The continuous time…

Statistical Mechanics · Physics 2007-05-23 C. Poulain , N. Mazellier , P. Gervais , Y. Gagne , C. Baudet

We report on simulations of two-dimensional turbulence in the inverse energy cascade regime. Focusing on the statistics of Lagrangian tracer particles, scaling behavior of the probability density functions of velocity fluctuations is…

Fluid Dynamics · Physics 2009-11-13 Oliver Kamps , Rudolf Friedrich

A first principle explanation of the origin of intermittency and nonlinear structure formation in the Lagrangian velocity increments of a turbulent flow is presented in the context of a scale invariant analytical formalism that is being…

Classical Analysis and ODEs · Mathematics 2016-06-29 Dhurjati Prasad Datta

The fate of small particles in turbulent flows depends strongly on the surrounding fluid's velocity gradient properties such as rotation and strain-rates. For non-inertial (fluid) particles, the Restricted Euler model provides a simple,…

Fluid Dynamics · Physics 2017-04-05 Perry L. Johnson , Charles Meneveau

We present models for single-particle dispersion in vertical and horizontal directions of stably stratified flows. The model in the vertical direction is based on the observed Lagrangian spectrum of the vertical velocity, while the model in…

Fluid Dynamics · Physics 2018-03-21 Nicolas E. Sujovolsky , Pablo D. Mininni , Mark P. Rast

Fluid deformation controls myriad processes in random flows including mixing and dispersion, stress development in complex fluids, colloid transport and deposition, droplet breakup and emulsification, fluid-structure interaction, chemical…

Fluid Dynamics · Physics 2026-05-07 Daniel Lester , Marco Dentz

We develop a continuous time random walk (CTRW) approach for the evolution of Lagrangian velocities in steady heterogeneous flows based on a stochastic relaxation process for the streamwise particle velocities. This approach describes…

Fluid Dynamics · Physics 2016-11-30 Marco Dentz , Peter K. Kang , Alessandro Comolli , Tanguy Le Borgne , Daniel R. Lester

It has long been suspected that flows of incompressible fluids at large or infinite Reynolds number (namely at small or zero viscosity) may present finite time singularities. We review briefly the theoretical situation on this point. We…

Fluid Dynamics · Physics 2019-05-22 Yves Pomeau , Martine Le Berre , Thierry Lehner

The turbulent energy flux through scales, $\bar{\epsilon}$, remains constant and non vanishing in the limit of zero viscosity, which results in the fundamental anomaly of time irreversibility. It was considered straightforward to deduce…

Chaotic Dynamics · Physics 2015-06-18 Anna Frishman , Gregory Falkovich

Low-temperature grid generated turbulence is investigated by using numerical simulations of the Gross-Pitaevskii equation. The statistics of regularized velocity increments are studied. Increments of the incompressible velocity are found to…

Other Condensed Matter · Physics 2016-06-15 Giorgio Krstulovic

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

We present measurements of fluid particle accelerations in turbulent water flows between counter-rotating disks using three-dimensional Lagrangian particle tracking. By simultaneously following multiple particles with…

Fluid Dynamics · Physics 2007-12-31 Haitao Xu , Nicholas T. Ouellette , Dario Vincenzi , Eberhard Bodenschatz

We report on the Lagrangian statistics of acceleration of small (sub-Kolmogorov) bubbles and tracer particles with Stokes number St << 1 in turbulent flow. At decreasing Reynolds number, the bubble accelerations show deviations from that of…

Fluid Dynamics · Physics 2016-08-23 Varghese Mathai , Enrico Calzavarini , Jon Brons , Chao Sun , Detlef Lohse