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The phenomenology of turbulent relative dispersion is revisited. A heuristic scenario is proposed, in which pairs of tracers undergo a succession of independent ballistic separations during time intervals whose lengths fluctuate. This…

Fluid Dynamics · Physics 2015-06-19 Simon Thalabard , Giorgio Krstulovic , Jeremie Bec

Results from Direct Numerical Simulations of particle relative dispersion in three dimensional homogeneous and isotropic turbulence at Reynolds number $Re_\lambda \sim 300$ are presented. We study point-like passive tracers and heavy…

Fluid Dynamics · Physics 2015-02-19 L. Biferale , A. S. Lanotte , R. Scatamacchia , F. Toschi

We present a numerical study of two-particle dispersion from point-sources in 3D incompressible Homogeneous and Isotropic turbulence, at Reynolds number Re \simeq 300. Tracer particles are emitted in bunches from localized sources smaller…

Fluid Dynamics · Physics 2015-06-05 R. Scatamacchia , L. Biferale , F. Toschi

The dispersion of Lagrangian particle pairs is a fundamental process in turbulence, with implications for mixing, transport, and the statistical properties of particles in geophysical and environmental flows. While classical theories…

Fluid Dynamics · Physics 2025-09-17 Christian Reartes , Pablo D. Mininni , Raffaele Marino

Due to large scale flow inhomogeneities and the effects of temperature, turbulence small-scale structure in thermal convection is still an active field of investigation, especially considering sophisticated Lagrangian statistics. Here we…

We analyze the Lagrangian flow in a family of simple Gaussian scale-invariant velocity ensembles that exhibit both spatial roughness and temporal correlations. We show that the behavior of the Lagrangian dispersion of pairs of fluid…

Chaotic Dynamics · Physics 2007-05-23 Marta Chaves , Krzysztof Gawedzki , Peter Horvai , Antti Kupiainen , Nassimo Vergassola

We present a detailed investigation of the particle pair separation process in homogeneous isotropic turbulence. We use data from direct numerical simulations up to Taylor's Reynolds number 280 following the evolution of about two million…

Chaotic Dynamics · Physics 2009-11-11 L. Biferale , G. Boffetta , A. Celani , B. J. Devenish , A. Lanotte , F. Toschi

The Lagrangian statistics of relative dispersion in fully developed turbulence is numerically investigated. A scaling range spanning many decades is achieved by generating a synthetic velocity field with prescribed Eulerian statistical…

chao-dyn · Physics 2009-10-31 G. Boffetta , A. Celani , A. Crisanti , A. Vulpiani

We present high-resolution direct numerical simulations of turbulent three-dimensional Rayleigh-Benard convection with a focus on the Lagrangian properties of the flow. The volume is a Cartesian slab with an aspect ratio of four bounded by…

Fluid Dynamics · Physics 2009-05-05 Joerg Schumacher

Lagrangian studies of the local temperature mixing and heat transport in turbulent Rayleigh-Benard convection are presented, based on three-dimensional direct numerical simulations. Contrary to vertical pair distances, the temporal growth…

Fluid Dynamics · Physics 2008-04-09 Joerg Schumacher

Geophysical flows are often turbulent and subject to rotation. This rotation modifies the structure of turbulence and is thereby expected to sensibly affect its Lagrangian properties. Here, we investigate the relative dispersion and…

Fluid Dynamics · Physics 2023-03-15 Juan Ignacio Polanco , S. Arun , Aurore Naso

A computationally efficient model is introduced to account for the sub-grid scale velocities of tracer particles dispersed in statistically homogeneous and isotropic turbulent flows. The model embeds the multi-scale nature of turbulent…

Fluid Dynamics · Physics 2015-06-18 I. M. Mazzitelli , F. Toschi , A. S. Lanotte

Lagrangian tracking of particle pairs is of fundamental interest in a large number of environmental applications dealing with contaminant dispersion and passive scalar mixing. The aim of the present study is to extend the observations…

DNS and laboratory experiments show that the spatial distribution of straining stagnation points in homogeneous isotropic 3D turbulence has a fractal structure with dimension D_s = 2. In Kinematic Simulations the time exponent gamma in…

Fluid Dynamics · Physics 2009-11-07 Javier Davila , Christos Vassilicos

Recent advances in data-driven modeling have shown that diffusion models can successfully generate synthetic Lagrangian trajectories in turbulent flows. Building on this progress, we extend the method to the joint generation of pairs of…

We study the effect of different forcing functions and of the local gradient Richardson number Rig on the vertical mixing of Lagrangian tracers in stably stratified turbulence under the Boussinesq approximation, and present a wave and…

Fluid Dynamics · Physics 2019-02-01 Nicolas E. Sujovolsky , Pablo D. Mininni

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

Lagrangian measurements of tracer particle dispersion in stratified turbulence are presented from a large-scale experiment achieving both high buoyancy Reynolds numbers and low Froude numbers -- a regime characteristic of oceanic…

By tracking tracer particles at high speeds and for long times, we study the geometric statistics of Lagrangian trajectories in an intensely turbulent laboratory flow. In particular, we consider the distinction between the displacement of…

Data Analysis, Statistics and Probability · Physics 2015-05-30 Nicholas T. Ouellette , Eberhard Bodenschatz , Haitao Xu

Tracers in a turbulent flow separate according to the celebrated $t^{3/2}$ Richardson--Obukhov law, which is usually explained by a scale-dependent effective diffusivity. Here, supported by state-of-the-art numerics, we revisit this…

Fluid Dynamics · Physics 2015-06-05 Rehab Bitane , Jérémie Bec , Holger Homann
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