Coherent Lagrangian (material) structures are ubiquitous in unsteady fluid flows, often
observable indirectly from tracer patterns they create, for example, in the atmosphere and …

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 …

Using the recently developed variational theory of hyperbolic Lagrangian coherent
structures (LCSs), we introduce a computational approach that renders attracting and …

The detection of coherent structures is an important problem in fluid dynamics, particularly in
geophysical applications. For instance, knowledge of how regions of fluid are isolated from …

We give an algorithmic introduction to Lagrangian coherent structures (LCSs) using a newly
developed computational engine, LCS Tool. LCSs are most repelling, attracting and …

The notion of a Lagrangian Coherent Structure (LCS) is by now well established as a way to
capture transient coherent transport dynamics in unsteady and aperiodic fluid flows that are …

The topic of Lagrangian coherent structures (LCS) has been a rapidly growing area of
research in nonlinear dynamics for almost a decade. It provides a means to rigorously define …

One of the ubiquitous features of real-life turbulent flows is the existence and persistence of
coherent vortices. Here we show that such coherent vortices can be extracted as clusters of …

We present a frame-invariant method for detecting coherent structures from Lagrangian flow
trajectories that can be sparse in number, as is the case in many fluid mechanics …

Two-dimensional chaotic advection in time-periodic fluid velocity fields is closely associated
with the presence of invariant manifolds. 1 For the period-one map, or Poincaré map, these …