banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Do Finite-Size Lyapunov Exponents detect coherent structures?
Rent this article for
View: 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 .


Article metrics loading...


Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Do Finite-Size Lyapunov Exponents detect coherent structures?