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

Lagrangian coherent structures (LCS) are hyperbolic material lines or surfaces that provide
a useful analogue of invariant manifolds for unsteady flow fields. LCS are often determined …

The notion of Lagrangian coherent structures (LCS) as invariant transport barriers in steady
and unsteady fluid flows has evolved from dynamical systems theory and has proven its …

The method of using Finite Time Liapunov Exponents (FTLE) to extract Lagrangian
Coherent Structures (LCS) in aperiodic flows, as originally developed by Haller, is applied to …

We present an experimental approach for estimating finite-time Lyapunov exponent fields
(FTLEs) in three-dimensional multi-component or multi-phase flows. From time-resolved …

This paper develops the theory and computation of Lagrangian Coherent Structures (LCS),
which are defined as ridges of Finite-Time Lyapunov Exponent (FTLE) fields. These ridges …

Many of the recently developed methods for analysis and visualization of time-dependent
flows are related to concepts, which can be subsumed under the term Lagrangian coherent …

In recent years, Lagrangian Coherent Structures (LCS) have been characterized using the
Finite-Time Lyapunov Exponent, following the advection of a dense set of particles into a …

Lagrangian coherent structures (LCS) can be extracted from time-dependent vector fields by
means of ridges in the finite-time Lyapunov exponent (FTLE). While the LCS approach has …

Lagrangian techniques, such as the finite-time Lyapunov exponent (FTLE) and hyperbolic
Lagrangian coherent structures, have become popular tools for analyzing unsteady fluid …