Lagrangian coherent structures (LCSs) are time-varying entities which capture the most
influential transport features of a flow. These can for example identify groups of particles …

The effect of spatial and temporal resolutions and random errors on identification of
Lagrangian coherent structures (LCSs) from Eulerian velocity fields is evaluated using two …

A data-driven procedure for identifying the dominant transport barriers in a time-varying flow
from limited quantities of Lagrangian data is presented. Our approach partitions state space …

There has been a proliferation in the development of Lagrangian analytical methods for
detecting coherent structures in fluid flow transport, yielding a variety of qualitatively different …

The quantification of Lagrangian coherent structures (LCS) has been investigated using an
algorithm based on the tesselation of unstructured data points. The applicability of the …

We derive a theory for material surfaces that maximally inhibit the diffusive transport of a
dynamically active vector field, such as the linear momentum, the angular momentum or the …

Using filter-space techniques, we study the scale-to-scale transport of energy in a quasi-two-
dimensional, weakly turbulent fluid flow averaged along the trajectories of fluid elements …

Many complex flows such as those arising from the collective motion of ocean plastics in
geophysics or motile cells in biology are characterized by sparse and noisy trajectory …

Lagrangian particle tracking and Lagrangian coherent structures (LCS) analysis tools aid in
the studies of fluid flow and are especially helpful in understanding the role of transport in …

Finite-time Lyapunov exponents (FTLE) are often used to identify Lagrangian Coherent
Structures (LCS). Most applications are confined to flows on two-dimensional (2D) surfaces …