Introduction to focus issue: Objective detection of coherent structures

T Peacock, G Froyland, G Haller - Chaos: An Interdisciplinary Journal …, 2015 - pubs.aip.org
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 …

A critical comparison of Lagrangian methods for coherent structure detection

A Hadjighasem, M Farazmand, D Blazevski… - … Journal of Nonlinear …, 2017 - pubs.aip.org
Coherent Lagrangian (material) structures are ubiquitous in unsteady fluid flows, often
observable indirectly from tracer patterns they create, for example, in the atmosphere and …

[HTML][HTML] Lagrangian based methods for coherent structure detection

MR Allshouse, T Peacock - Chaos: An Interdisciplinary Journal of …, 2015 - pubs.aip.org
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 …

[HTML][HTML] Identification of individual coherent sets associated with flow trajectories using coherent structure coloring

KL Schlueter-Kuck, JO Dabiri - Chaos: An Interdisciplinary Journal of …, 2017 - pubs.aip.org
We present a method for identifying the coherent structures associated with individual
Lagrangian flow trajectories even where only sparse particle trajectory data are available …

On fast computation of finite-time coherent sets using radial basis functions

G Froyland, O Junge - Chaos: An Interdisciplinary Journal of Nonlinear …, 2015 - pubs.aip.org
Finite-time coherent sets inhibit mixing over finite times. The most expensive part of the
transfer operator approach to detecting coherent sets is the construction of the operator …

Detecting the birth and death of finite‐time coherent sets

G Froyland, P Koltai - Communications on Pure and Applied …, 2023 - Wiley Online Library
Finite‐time coherent sets (FTCSs) are distinguished regions of phase space that resist
mixing with the surrounding space for some finite period of time; physical manifestations …

Forecasting sudden changes in environmental pollution patterns

MJ Olascoaga, G Haller - Proceedings of the National …, 2012 - National Acad Sciences
The lack of reliable forecasts for the spread of oceanic and atmospheric contamination
hinders the effective protection of the ecosystem, society, and the economy from the fallouts …

Quasi-objective coherent structure diagnostics from single trajectories

G Haller, N Aksamit, AP Encinas-Bartos - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
We derive measures of local material stretching and rotation that are computable from
individual trajectories without reliance on other trajectories or on an underlying velocity field …

[HTML][HTML] Ordering of trajectories reveals hierarchical finite-time coherent sets in Lagrangian particle data: detecting Agulhas rings in the South Atlantic Ocean

D Wichmann, C Kehl, HA Dijkstra… - Nonlinear Processes …, 2021 - npg.copernicus.org
The detection of finite-time coherent particle sets in Lagrangian trajectory data, using data-
clustering techniques, is an active research field at the moment. Yet, the clustering methods …

Topological colouring of fluid particles unravels finite-time coherent sets

GD Charó, G Artana, D Sciamarella - Journal of Fluid Mechanics, 2021 - cambridge.org
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 …