Second derivative ridges are straight lines and the implications for computing Lagrangian coherent structures

DOI10.1016/J.PHYSD.2012.05.006zbMath1254.76091OpenAlexW1989636068WikidataQ56863813 ScholiaQ56863813MaRDI QIDQ1926259

Greg Norgard, Peer-Timo Bremer

Publication date: 28 December 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2012.05.006

zbMATH Keywords

finite-time Lyapunov exponentsLagrangian coherent structuresridges

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical systems approach to turbulence (76F20) Topological dynamics of nonautonomous systems (37B55)

Related Items (6)

Local stable and unstable manifolds and their control in nonautonomous finite-time flows ⋮ Attracting Lagrangian coherent structures on Riemannian manifolds ⋮ Comment on ``Second derivative ridges are straight lines and the implications for computing Lagrangian coherent structures ⋮ Uncertainty in finite-time Lyapunov exponent computations ⋮ Nonparametric ridge estimation ⋮ Identification of Lagrangian coherent structures in a turbulent boundary layer

Cites Work

• A variational theory of hyperbolic Lagrangian coherent structures
• Ridges in image and data analysis
• Lagrangian coherent structures and mixing in two-dimensional turbulence
• Ridges for image analysis
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence
• Lagrangian coherent structures from approximate velocity data
• Distinguished material surfaces and coherent structures in three-dimensional fluid flows

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