Lagrangian analysis is a powerful way to analyse the output of ocean circulation models and
other ocean velocity data such as from altimetry. In the Lagrangian approach, large sets of …

▪ Abstract Chaotic advection and, more generally, ideas from dynamical systems, have been
fruitfully applied to a diverse, and varied, collection of mixing and transport problems arising …

This paper proposes a framework in which Lagrangian particle dynamics is used for the
segmentation of high density crowd flows and detection of flow instabilities. For this purpose …

Satellite observations of the last two decades have led to a major breakthrough emphasizing
the existence of a strongly energetic mesoscale turbulent eddy field in all the oceans. This …

The simplest mixing problem corresponds to the mixing of a fluid with itself; this case
provides a foundation on which the subject rests. The objective here is to study mixing …

We use direct Lyapunov exponents (DLE) to identify Lagrangian coherent structures in two
different three-dimensional flows, including a single isolated hairpin vortex, and a fully …

In this paper we develop new techniques for revealing geometrical structures in phase
space that are valid for aperiodically time dependent dynamical systems, which we refer to …

Mixing processes occur in many technological and natural applications, with length and time
scales ranging from the very small to the very large. The diversity of problems can give rise …

In this Letter, we introduce a definition of the nonlinear finite-time Lyapunov exponent
(FTLE), which is a nonlinear generalization to the existing local or finite-time Lyapunov …

Particle image velocimetry (PIV) is used to investigate the three-dimensional wakes of rigid
pitching panels with a trapezoidal geometry, chosen to model idealized fish caudal fins …