LCS Tool : A Computational Platform for Lagrangian Coherent Structures
arXiv:1406.3527 · doi:10.1016/j.jocs.2014.12.002
Abstract
We give an algorithmic introduction to Lagrangian coherent structures (LCSs) using a newly developed computational engine, LCS Tool. LCSs are most repelling, attracting and shearing material lines that form the centerpieces of observed tracer patterns in two-dimensional unsteady dynamical systems. LCS Tool implements the latest geodesic theory of LCSs for two-dimensional flows, uncovering key transport barriers in unsteady flow velocity data as explicit solutions of differential equations. After a review of the underlying theory, we explain the steps and numerical methods used by LCS Tool, and illustrate its capabilities on three unsteady fluid flow examples.
References in corpus (5)
- Coherent Lagrangian vortices: The black holes of turbulence
- Hyperbolic and Elliptic Transport Barriers in Three-Dimensional Unsteady Flows
- Shearless transport barriers in unsteady two-dimensional flows and maps
- Addendum to "Coherent Lagrangian vortices: The black holes of turbulence"
- Development of an Efficient and Flexible Pipeline for Lagrangian Coherent Structure Computation
Cited by in corpus (26)
- The life cycle of a coherent Lagrangian Agulhas ring
- Extracting quasi-steady Lagrangian transport patterns from the ocean circulation: An application to the Gulf of Mexico
- Lagrangian coherent structures and plasma transport processes
- Geodesic Transport Barriers in Jupiter's Atmosphere: A Video-Based Analysis
- Bacteria hinder large-scale transport and enhance small-scale mixing in time-periodic flows
- Evolution, structure and topology of self-generated turbulent reconnection layers
- Eddy induced trapping and homogenization of freshwater in the Bay of Bengal
- Lagrangian stretching reveals stress topology in viscoelastic flows
- Go with the FLOW: Visualizing spatiotemporal dynamics in optical widefield calcium imaging
- Coherent transport structures in magnetized plasmas, I : Theory
- An objective-adaptive refinement criterion based on modified ridge extraction method for finite-time Lyapunov exponent (FTLE) calculation
- Attraction-Based Computation of Hyperbolic Lagrangian Coherent Structures
- Surface Mixing by Geostrophic Flows in the Bay of Bengal
- Coherent transport structures in magnetized plasmas II: Numerical results
- Three dimensional chaotic advection by mixed layer baroclinic instabilities
- Lagrangian Data-Driven Reduced Order Modeling of Finite Time Lyapunov Exponents
- Universal Upper Estimate for Prediction Errors under Moderate Model Uncertainty
- Quantifying the role of folding in nonautonomous flows: the unsteady Double-Gyre
- From Manifolds to Lagrangian Coherent Structures in galactic bar models
- Persistent Lagrangian transport patterns in the northwestern Gulf of Mexico
- Hyperbolic Covariant Coherent Structures in two dimensional flows
- Is Chaotic Advection Inherent to Heterogeneous Darcy Flow?
- Reference map technique for Lagrangian exploration of coherent structures
- Go With the Flow, on Jupiter and Snow. Coherence From Model-Free Video Data without Trajectories
- Sensitivity and robustness of Lagrangian coherent structures in coastal water systems
- Lagrange2D: A Mathematica package for Lagrangian analysis of two-dimensional fluid flows