Ridge Concepts for the Visualization of Lagrangian Coherent Structures

DOI10.1007/978-3-642-23175-9_15zbMath1426.76590OpenAlexW2202452493WikidataQ56863814 ScholiaQ56863814MaRDI QIDQ2915468

Ronald Peikert, Raphael Fuchs, Benjamin Schindler, Holger Theisel

Publication date: 18 September 2012

Published in: Mathematics and Visualization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-23175-9_15

Mathematics Subject Classification ID

Visualization algorithms applied to problems in fluid mechanics (76M27)

Related Items (13)

Local stable and unstable manifolds and their control in nonautonomous finite-time flows ⋮ A Comparison of Finite-Time and Finite-Size Lyapunov Exponents ⋮ Development of an Efficient and Flexible Pipeline for Lagrangian Coherent Structure Computation ⋮ Scale-Space Approaches to FTLE Ridges ⋮ Refining finite-time Lyapunov exponent ridges and the challenges of classifying them ⋮ Comment on ``Second derivative ridges are straight lines and the implications for computing Lagrangian coherent structures ⋮ Uncertainty in finite-time Lyapunov exponent computations ⋮ Objective barriers to the transport of dynamically active vector fields ⋮ Nonparametric ridge estimation ⋮ Attraction-based computation of hyperbolic Lagrangian coherent structures ⋮ Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents ⋮ Do Finite-Size Lyapunov Exponents detect coherent structures? ⋮ Trajectory-free approximation of phase space structures using the trajectory divergence rate

Cites Work

• A variational theory of hyperbolic Lagrangian coherent structures
• Properties of ridges and cores for two-dimensional images
• Ridges in image and data analysis
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Scale-Space Approaches to FTLE Ridges
• Lagrangian coherent structures in n-dimensional systems
• Transport of inertial particles by Lagrangian coherent structures: application to predator–prey interaction in jellyfish feeding
• Visualization of Coherent Structures in Transient 2D Flows
• A ridge tracking algorithm and error estimate for efficient computation of Lagrangian coherent structures
• Lagrangian analysis of fluid transport in empirical vortex ring flows
• Distinguished material surfaces and coherent structures in three-dimensional fluid flows

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