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A Method to Calculate Finite-time Lyapunov Exponents for Inertial Particles in Incompressible Flows : Volume 2, Issue 4 (14/07/2015)

By Garaboa, D.

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Book Id: WPLBN0004020159
Format Type: PDF Article :
File Size: Pages 17
Reproduction Date: 2015

Title: A Method to Calculate Finite-time Lyapunov Exponents for Inertial Particles in Incompressible Flows : Volume 2, Issue 4 (14/07/2015)  
Author: Garaboa, D.
Volume: Vol. 2, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Garaboa, D., & Pérez-Muñuzuri, V. (2015). A Method to Calculate Finite-time Lyapunov Exponents for Inertial Particles in Incompressible Flows : Volume 2, Issue 4 (14/07/2015). Retrieved from

Description: Group of Nonlinear Physics, Faculty of Physics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain. The present study aims to improve the calculus of Finite-Time Lyapunov Exponents (iFTLEs) applied to describe the transport of inertial particles in a fluid flow. To this aim, the deformation tensor used to obtain the iFTLE is modified to take into account that the stretching rate between particles separated by a certain distance is influenced by the initial velocity of the particles. The advantages of this improvement, if compared to the standard method (Shadden et al., 2005), are discussed for the double-gyre flow and the meandering jet flow. The new method allows to identify the initial velocity that inertial particles must have in order to maximize their dispersion.

A method to calculate Finite-Time Lyapunov Exponents for inertial particles in incompressible flows

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