Computing Lagrangian coherent structures from their variational theory
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Publication:2787728
DOI10.1063/1.3690153zbMath1331.37128OpenAlexW2054686405WikidataQ50499837 ScholiaQ50499837MaRDI QIDQ2787728
Mohammad Farazmand, György Haller
Publication date: 4 March 2016
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/92b8a012c0613c716bc408889aa8761e2545b281
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical systems in solid mechanics (37N15)
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Cites Work
- Unnamed Item
- A variational theory of hyperbolic Lagrangian coherent structures
- Krylov methods for the incompressible Navier-Stokes equations
- Algorithms for computing normally hyperbolic invariant manifolds
- Computation of stable and unstable manifolds of hyperbolic trajectories in two-dimensional, aperiodically time-dependent vector fields
- The geometry of mixing in time-periodic chaotic flows. I: Asymptotic directionality in physically realizable flows and global invariant properties
- Lagrangian coherent structures and mixing in two-dimensional turbulence
- Geometric Hermite curves with minimum strain energy
- Erratum and addendum to ``A variational theory of hyperbolic Lagrangian coherent structures
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- Controlling the dual cascade of two-dimensional turbulence
- A method for enforcing integrability in shape from shading algorithms
- A ridge tracking algorithm and error estimate for efficient computation of Lagrangian coherent structures
- The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds
- Distinguished material surfaces and coherent structures in three-dimensional fluid flows
- Detecting barriers to transport: a review of different techniques
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