Lagrangian Properties of Particles in Turbulence

Federico Toschi; Eberhard Bodenschatz

doi:10.1146/annurev.fluid.010908.165210

Annual Review of Fluid Mechanics

Volume 41, 2009

Review Article

Lagrangian Properties of Particles in Turbulence

Federico Toschi¹, and Eberhard Bodenschatz²
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Affiliations: ¹Istituto per le Applicazioni del Calcolo, CNR, I-00161 Rome, Italy; INFN, Sezione di Ferrara, I-44100 Ferrara, Italy; Department of Physics and Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands; and International Collaboration for Turbulence Research; email: [email protected] ²Max Planck Institute for Dynamics and Self-Organization, D-37077 Goettingen, Germany; Laboratory of Atomic and Solid-State Physics and Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853; Institute for Nonlinear Dynamics, University of Goettingen, D-37073 Goettingen, Germany; and International Collaboration for Turbulence Research
Vol. 41:375-404 (Volume publication date January 2009) https://doi.org/10.1146/annurev.fluid.010908.165210
First published as a Review in Advance on September 25, 2008
© Annual Reviews

Abstract

The Lagrangian description of turbulence is characterized by a unique conceptual simplicity and by an immediate connection with the physics of dispersion and mixing. In this article, we report some motivations behind the Lagrangian description of turbulence and focus on the statistical properties of particles when advected by fully developed turbulent flows. By means of a detailed comparison between experimental and numerical results, we review the physics of particle acceleration, Lagrangian velocity structure functions, and pairs and shapes evolution. Recent results for nonideal particles are discussed, providing an outlook on future directions.

Keyword(s): anomalous scaling, dispersion, intermittency, mixing, particle tracking

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2009-01-21

2024-04-24