a method to calculate finite-time lyapunov exponents for inertial particles in incompressible flows

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ID: 247261
2015
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Abstract
The present study aims to improve the calculus of finite-time Lyapunov exponents (FTLEs) applied to describe the transport of inertial particles in a fluid flow. To this aim, the deformation tensor 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. Thus, the inertial FTLEs (iFTLEs) are defined in terms of the maximum stretching between infinitesimally close trajectories that have different initial velocities. 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 one to identify the initial velocity that inertial particles must have in order to maximize their dispersion.
Reference Key
garaboa-paz2015nonlineara Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;D. Garaboa-Paz;V. Pérez-Muñuzuri
Journal BMC research notes
Year 2015
DOI
10.5194/npg-22-571-2015
URL
http://www.nonlin-processes-geophys.net/22/571/2015/npg-22-571-2015.pdf
Keywords
cosmic physics sciencephysicsgeophysics

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