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We develop the formulation of turbulence in terms of the functional integral over the phase space configurations of the vortex cells. The phase space consists of Clebsch coordinates at the surface of the vortex cells plus the Lagrange…

High Energy Physics - Theory · Physics 2008-02-03 A. A. Migdal

Single-particle dispersion in the Bolgiano--Obukhov regime of two-dimensional turbulent convection is investigated. Unlike dispersion in a flow displaying the classical K41 phenomenology, here, the leading contribution to the Lagrangian…

Chaotic Dynamics · Physics 2007-12-19 A. Bistagnino , G. Boffetta , A. Mazzino

We use three-dimensional direct numerical simulations of homogeneous isotropic turbulence in a cubic domain to investigate the dynamics of heavy, chiral, finite-size inertial particles and their effects on the flow. Using an…

Fluid Dynamics · Physics 2024-10-21 Giulia Piumini , Martin P. A. Assen , Detlef Lohse , Roberto Verzicco

Models, describing relativistic particles, where Lagrangian densities depend linearly on both the curvature and the torsion of the trajectories, are revisited in D=3 space forms. The moduli spaces of trajectories are completely and…

High Energy Physics - Theory · Physics 2009-11-10 Josu Arroyo , Manuel Barros , Oscar J. Garay

Finite size effects can lead neutrally buoyant particles to exhibit different dynamics than tracer particles, and can alter their transport properties in fluid flows. Here we investigate the effect of the particle's shape on their…

Fluid Dynamics · Physics 2022-09-14 Severine Atis , Matthieu Leclair , Themistoklis Sapsis , Thomas Peacock

Through laboratory measurements, we compare the rotation of spherical and ellipsoidal particles in homogeneous, isotropic turbulence. We find that the particles' angular velocity statistics are well described by an Ornstein-Uhlenbeck (OU)…

Fluid Dynamics · Physics 2022-08-16 Colin R. Meyer , Evan A. Variano

The dynamics of heavy particles suspended in turbulent flows is of fundamental importance for a wide range of questions in astrophysics, atmospheric physics, oceanography, and technology. Laboratory experiments and numerical simulations…

Fluid Dynamics · Physics 2016-09-21 K. Gustavsson , B. Mehlig

We analyze the vector nulls of velocity, Lagrangian acceleration, and vorticity, coming from direct numerical simulations of forced homogeneous isotropic turbulence at $Re_\lambda \in [40-610]$. We show that the clustering of velocity nulls…

Fluid Dynamics · Physics 2021-03-09 D. O. Mora , M. Bourgoin , P. D. Mininni , M. Obligado

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 report on Lagrangian flow statistics from experimental measurements of homogeneous isotropic turbulence. The investigated flow is driven by 12 impellers inside an icosahedral volume. Seven impeller rotation rates are considered resulting…

Fluid Dynamics · Physics 2025-05-23 Cheng Wang , Sander G. Huisman , Thomas Basset , Romain Volk , Mickael Bourgoin

Dispersive waves in two-dimensional blocky materials with periodic microstructure made up of equal rigid units having polygonal centro-symmetric shape with mass and gyroscopic inertia, connected each other through homogeneous linear…

Materials Science · Physics 2017-04-05 Andrea Bacigalupo , Luigi Gambarotta

We uncover universal statistical properties of the trajectories of heavy inertial particles in three-dimensional, statistically steady, homogeneous, and isotropic turbulent flows by extensive direct numerical simulations. We show that the…

Fluid Dynamics · Physics 2014-12-09 Akshay Bhatnagar , Anupam Gupta , Dhrubaditya Mitra , Prasad Perlekar , Rahul Pandit

The effect of Kolmogorov-size spherical particles on homogeneous and isotropic turbulence is investigated using particle-resolved direct numerical simulations at a Taylor-scale Reynolds number of $150$. Four monodisperse suspensions of…

Fluid Dynamics · Physics 2026-02-06 Ludovico Fossà , Marco Edoardo Rosti

We present a detailed review of some of the most recent developments on Eulerian and Lagrangian turbulence in homogeneous and isotropic statistics. In particular, we review phenomenological and numerical results concerning the issue of…

Fluid Dynamics · Physics 2015-10-01 R. Benzi , L. Biferale

The inertial subrange of turbulent scales is commonly reflected by a power law signature in ensemble statistics such as the energy spectrum and structure functions - both in theory and from observations. Despite promising findings on the…

Fluid Dynamics · Physics 2022-12-16 Michael Heisel , Charitha M. de Silva , Gabriel G. Katul , Marcelo Chamecki

We obtain, by extensive direct numerical simulations, trajectories of heavy inertial particles in two-dimensional, statistically steady, homogeneous, and isotropic turbulent flows, with friction. We show that the probability distribution…

Fluid Dynamics · Physics 2014-03-05 Anupam Gupta , Dhrubaditya Mitra , Prasad Perlekar , Rahul Pandit

Vortical structures of turbulence, i.e., vortex tubes and sheets, are studied using one-dimensional velocity data obtained in laboratory experiments for duct flows and boundary layers at microscale Reynolds numbers from 332 to 1934. We…

Fluid Dynamics · Physics 2009-11-13 H. Mouri , A. Hori , Y. Kawashima

We study the statistics of pair dispersion in two-dimensional turbulence. Direct numerical simulations show that the pdf of pair separations is in agreement with the Richardson prediction. The pdf of doubling times follows dimensional…

Chaotic Dynamics · Physics 2009-11-07 G. Boffetta , A. Celani

The three-dimensional transport pathways, the time scales of vertical transport, and the dispersion characteristics of submesoscale currents at an upper-ocean front are investigated using material points (tracer particles) that advect with…

Atmospheric and Oceanic Physics · Physics 2021-08-18 Vicky Verma , Sutanu Sarkar

Light propagation through turbulence produces speckles, whose ensemble behavior is typically characterized by snapshot intensity statistics. Here, we track the spatiotemporal evolution of individual speckles and quantify fragmentation,…

Optics · Physics 2025-11-12 Travis M. Crumpton , Luat T. Vuong