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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 20, issue 6
Nonlin. Processes Geophys., 20, 987–991, 2013
https://doi.org/10.5194/npg-20-987-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Nonlinear dynamics in oceanic and atmospheric flows: theory...

Nonlin. Processes Geophys., 20, 987–991, 2013
https://doi.org/10.5194/npg-20-987-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.

Brief communication 15 Nov 2013

Brief communication | 15 Nov 2013

Path-integrated Lagrangian measures from the velocity gradient tensor

V. Pérez-Muñuzuri1 and F. Huhn2 V. Pérez-Muñuzuri and F. Huhn
  • 1Group of Nonlinear Physics, Faculty of Physics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
  • 2Institute for Mechanical Systems, ETH Zürich, Tannenstrasse 3, 8092 Zürich, Switzerland

Abstract. Spatial maps of the finite-time Lyapunov exponent (FTLE) have been used extensively to study LCS in two-dimensional dynamical systems, in particular with application to transport in unsteady fluid flows. We use the time-periodic double-gyre model to compare spatial fields of FTLE and the path-integrated Eulerian Okubo–Weiss parameter (OW). Both fields correlate strongly, and by solving the dynamics of the deformation gradient tensor, a theoretical relationship between both magnitudes has been obtained. While for long integration times more and more FTLE ridges appear that do not seem to coincide with the stable manifold, ridges in the field of path-integrated OW represent fewer additional structures.

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