Transport and mixing processes in fluid flows are crucially influenced by coherent structures
and the characterization of these Lagrangian objects is a topic of intense current research …

In Lagrangian dynamics, the detection of coherent clusters can help understand the
organization of transport by identifying regions with coherent trajectory patterns. Many …

Transport and mixing processes in fluid flows can be studied directly from Lagrangian
trajectory data, such as those obtained from particle tracking experiments. Recent work in …

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 …

Typical fluid particle trajectories are sensitive to changes in their initial conditions. This
makes the assessment of flow models and observations from individual tracer samples …

Complex networks provide a timely tool for investigating structural properties associated with
the organization of dynamical processes in “spatially extended” systems. Among others, flow …

It is argued that the complexity of fluid particle trajectories provides the basis for a new
method, referred to as the Complexity Method (CM), for estimation of Lagrangian coherent …

A new kind of Lagrangian diagnostic family is proposed and a specific form of it is suggested
for characterizing mixing: the extreme (maximal/minimal) extent of a trajectory and some of …

During the last years, complex network approaches have demonstrated their great potentials
as versatile tools for exploring the structural as well as dynamical properties of complex …

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 …