On star-convex volumes in 2-D hydrodynamical flows and their relevance for coherent transport

DOI10.1063/5.0028100zbMath1451.86004OpenAlexW3116471925WikidataQ104678119 ScholiaQ104678119MaRDI QIDQ3388190

Benedict J. Lünsmann, Holger Kantz

Publication date: 11 January 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0028100

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Computational methods for problems pertaining to geophysics (86-08) Software, source code, etc. for problems pertaining to geophysics (86-04)

Cites Work

• Lagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systems
• The dynamics of enstrophy transfer in two-dimensional hydrodynamics
• Lagrangian coherent structures and mixing in two-dimensional turbulence
• An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Ecological implications of eddy retention in the open ocean: a Lagrangian approach
• RELATIVELY COHERENT SETS AS A HIERARCHICAL PARTITION METHOD
• Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting
• Defining coherent vortices objectively from the vorticity
• Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence
• Lagrangian coherent structures from approximate velocity data
• Stretching and folding in finite time
• Studying an Agulhas ring's long-term pathway and decay with finite-time coherent sets
• A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
• A critical comparison of Lagrangian methods for coherent structure detection
• Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion
• Shape Coherence and Finite-Time Curvature Evolution
• Detecting barriers to transport: a review of different techniques

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