Lagrangian coherent structures and mixing in two-dimensional turbulence

By G. Haller, Guo Yuan. 2000

903 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Oceanography, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2b2048834c4930f44d4442c0602937eb39438492

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In Computer Networks and Communications

In Oceanography

In Statistical and Nonlinear Physics

Citations in the corpus

Distinguished material surfaces and coherent structures in three-dimensional fluid flows (2001, background): “Both cases (1) and (2) occur already in two-dimensional turbulence (see [21] for more discussion).”
Detection of Lagrangian coherent structures in three-dimensional turbulence (2007, methodology): “We study the evolution of a single hairpin vortex into a packet of similar structures, and show that the birth of a secondary vortex corresponds to a loss of hyperbolicity of the Lagrangian coherent structures.”
Oceanic mesoscale eddies as revealed by Lagrangian coherent structures (2008, background): “In the first case the LCS is called repelling, while in the second case is called attracting [Haller and Yuan, 2000].”
A Lagrangian Particle Dynamics Approach for Crowd Flow Segmentation and Stability Analysis (2007, methodology): “After a time interval this perturbation becomes [10][ 1 ]:”
Where do inertial particles go in fluid flows (2008, background): “This classification is based on ad hoc arguments that can only be justified near stagnation points of steady flows (Basdevant and Philipovitch [4]); away from such stagnation points, the criterion has been shown to be incorrect (Haller and Yuan [ 9 ]).”
Frontiers of chaotic advection (2014, background): “The initial operational definition specified attracting (respectively repelling) LCS as material lines that are linearly stable in forward (respectively backward) time for a longer period than any of their neighbors (Haller, 2000, 2001a,b, 2002; Haller and Yuan, 2000).”
Eddy stirring in the Southern Ocean (2011, background): “…no generalized theory yet exists to predict the detailed distribution of in non‐parallel flows, the Okubo‐Weiss parameter (D) has been shown to be a useful indicator of regions where particle separation increases exponentially and jets are likely to become leaky [e.g., Haller and Yuan, 2000].”
Relation between kinematic boundaries, stirring, and barriers for the Antarctic polar vortex (2002, methodology): “The same property is also used to extend the definition of hyperbolic points to space– time hyperbolic trajectories in a time-dependent system (Coppel 1978; Malhotra and Wiggins 1999; Haller 2000; Haller and Yuan 2000).”
Detecting barriers to transport: a review of different techniques (2001, background): “Recently, the connection of the OW criterium with the properties of Lagrangian dispersion has been formally discussed [16].”