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 …

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 …

Mesoscale eddies affect phytoplankton in several ways, including the horizontal dispersal
and mixing of populations. Coherent eddies trap and contain fluid masses, whereas other …

Environmental fluid mechanics underlies a wealth of natural, industrial, and, by extension,
societal challenges. In the coming decades, as we strive towards a more sustainable planet …

A framework for coherent pattern extraction and prediction of observables of measure-
preserving, ergodic dynamical systems with both atomic and continuous spectral …

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 …

Lagrangian coherent structures (LCSs) are time-varying entities which capture the most
influential transport features of a flow. These can for example identify groups of particles …

The finite-time Lyapunov exponent (FTLE) method is a mature and practical method for
analyzing the characteristics of Lagrangian coherent structures. It can be used for studying …

A physics-based data-driven computational framework for the quantitative analysis of vortex
kinematics and vortex-induced loads in vortex-dominated problems is presented. Such flows …

Abstract Space plasmas can be described as conducting flows in a turbulent state, where
fluid motion is determined by a host of kinetic and magnetic coherent structures of different …