… its applications to the structural analysis of transient flows in the fluid dynamics community, …
Haller provided a study of the robustness of the coherent structures characterized by FTLE [8…

… coherent structures will then be identified as material lines or surfaces along which our
conditions hold for locally the longest time in the flow… principle for Lagrangian coherent structures: …

… and can educe structures using newer measurement techniques such as digital image
processing. Our recent studies of coherent structures in several free shear flows are briefly …

… chaos theory—and fluid dynamics have given rise to the concept of Lagrangian coherent
structures (LCSs), which provides a new way of understanding transport in complex fluid flows. …

… A definition for the coherent structure is proposed and its implications discussed. The … of
a coherent structure being associated with a turbulent fluid mass, a coherent structure is not a …

… for identifying patterns in fluid flows, and suggest that our tool … interesting flow patterns
and coherent structures without … elegant, illustrating coherent structures directly from videos …

… Material coherence emerges ubiquitously in fluid flows around us (Figure 1). It admits distinct
signatures in virtually any diagnostic scalar field or reduced-order model associated with …

… play a key role in the flow dynamics. Our observations bolster … coherent structure for tractably
describing complex fluid flows… of coherent structure and the nonlinear dynamics of the flow. …

… of coherent structures, we investigate a classic vortex flow: the steady Hill’s spherical vortex.
This case is an analytic solution of the Euler equations that yield an axisymmetric spherical …

… ‘exact’ coherent structures. We choose the term exact coherent structures to emphasize that
… ‘inactive motions’ often used in the coherent structure literature. The further study of these …