This work describes the application of a technique that extracts branched manifolds from
time series to study numerically generated fluid particle behaviour in the wake past a …

Abstract Branched Manifold Analysis through Homologies (BraMAH) is a technique that
computes the state-space topology of a dynamical reconstruction from scalar data. This work …

We present a method for identifying the coherent structures associated with individual
Lagrangian flow trajectories even where only sparse particle trajectory data are available …

Coherent structures are persistent localized features in time-varying fields. Some examples
of physical fields in which coherence is of interest include pressure, temperature, and …

For steady systems, interpreting the flow structure is typically straightforward because
streamlines and trajectories coincide. Therefore the velocity field, or quantities derived from …

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 …

By measuring the tracks of tracer particles in a quasi-two-dimensional spatiotemporally
chaotic laboratory flow, we determine the instantaneous curvature along each trajectory and …

In 2-D time-dependent fluid flows, a patch represents a localized region in space that has a
significantly different average velocity compared to its surroundings. We show that one can …

In this work we examine how particle dynamics and orientation patterns can revel
information about fluid structures, how particles can be used as a device to measure fluid …

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 …