Articles | Volume 22, issue 6
https://doi.org/10.5194/npg-22-663-2015
https://doi.org/10.5194/npg-22-663-2015
Research article
 | 
11 Nov 2015
Research article |  | 11 Nov 2015

Local finite-time Lyapunov exponent, local sampling and probabilistic source and destination regions

A. E. BozorgMagham, S. D. Ross, and D. G. Schmale III

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Cited articles

Abarbanel, H. D., Brown, R., and Kennel, M. B.: Local Lyapunov Exponents Computed from Observed Data, J. Nonlin. Sci., 2, 343–365, 1992.
Batchelor, G. K.: An Introduction to Fluid Dynamics, Cambridge University Press, 2000.
BozorgMagham, A. E. and Ross, S. D.: Atmospheric Lagrangian Coherent Structures Considering Unresolved Turbulence and Forecast Uncertainty, Commun. Nonlin. Sci. Numer. Simul., 22, 964–979, 2015.
BozorgMagham, A. E., Ross, S. D., and Schmale, D. G.: Real-time Prediction of Atmospheric Lagrangian Coherent Structures Based on Uncertain Forecast Data: An Application and Error Analysis, Physica D, 258, 47–60, 2013.
Branicki, M. and Wiggins, S.: Finite-Time Lagrangian Transport Analysis: Stable and Unstable Manifolds of Hyperbolic Trajectories and Finite-Time Lyapunov Exponents, arXiv preprint arXiv:0908.1129, 2009.
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Short summary
In this paper a new interpretation of the local finite-time Lyapunov exponent is proposed. This concept can practically assist in field experiments where samples are collected at a fixed location and it is necessary to attribute long-distance transport phenomena and location of source points to the characteristic variation of the sampled particles. Also, results of this study have the potential to aid in planning of optimal local sampling of passive particles.