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Do Finite-Size Lyapunov Exponents detect coherent structures?
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10.1063/1.4837075
/content/aip/journal/chaos/23/4/10.1063/1.4837075
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/4/10.1063/1.4837075
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

FSLE and FTLE fields for the flow (6) , with initial time and transition between and . (a) FSLE field for . (b) FTLE field for  = 1.

Image of FIG. 2.
FIG. 2.

(a) Lines of discontinuities in the FSLE field of the autonomous double gyre flow (7) . (b) A cross section of the discontinuities along the line. (c) The root cause of the jump-discontinuity at : a tangency of the particle-separation history curve with the  = 6 horizontal line.

Image of FIG. 3.
FIG. 3.

Instantaneous velocity field for the moving separation flow (8) .

Image of FIG. 4.
FIG. 4.

An FSLE ridge with large height-variation that does not correspond to an FTLE ridge. (a) and (b) FSLE and separation time distribution for the moving separation flow (8) with separation factor . Note that the whole of the axis is a ridge for the FSLE field (a), as confirmed by the separation time field (b). (c) and (d) The FTLE fields for the integration times and admit a trench along most of the axis.

Image of FIG. 5.
FIG. 5.

An occurrence of the first two FSLE jump-conditions in (13) along the line in the double-gyre flow (7) . The third jump-condition in (13) is also satisfied, as the FTLE field does not have a stationary point at this location.

Image of FIG. 6.
FIG. 6.

(a) Codimension-one, normally attracting invariant manifold with a normally attracting boundary for the gradient flow (14) . (b) The geometry of the gradient flow (14) near a one-dimensional ridge .

Image of FIG. 7.
FIG. 7.

The separation time distribution for the moving separation flow (8) with separation factor .

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/content/aip/journal/chaos/23/4/10.1063/1.4837075
2013-12-03
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Do Finite-Size Lyapunov Exponents detect coherent structures?
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/4/10.1063/1.4837075
10.1063/1.4837075
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