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 …

Rotationally coherent Lagrangian vortices are formed by tubes of deforming fluid elements
that complete equal bulk material rotation relative to the mean rotation of the deforming fluid …

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

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 …

Although the vortex is ubiquitous in nature, its definition is somewhat ambiguous in the field
of fluid dynamics. In this absence of a rigorous mathematical definition, considerable …

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 …

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

We define objective Eulerian Coherent Structures (OECSs) in two-dimensional, non-
autonomous dynamical systems as the instantaneously most influential material curves …

We seek transport barriers and transport enhancers as material surfaces across which the
transport of diffusive tracers is minimal or maximal in a general, unsteady flow. We find that …

Transport barriers are observed inhibitors of the spread of substances in flows. The
collection of such barriers offers a powerful geometric template that frames the main …