Lagrangian coherent structures from approximate velocity data

By G. Haller. 2002

600 citations recorded by the source corpus.

Subfields: Computational Mechanics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/34a0706bcdf8a1899e3d8c73698e8ab55455d9b8

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In Computational Mechanics

In Statistical and Nonlinear Physics

Citations in the corpus

The onset of dynamic stall revisited (2012, methodology): “…can be integrated forward and backward in time yielding positive and negative finite– time Lyapunov exponent (pFTLE and nFTLE) fields (see e. g. Haller 2002; Shadden et al 2005; Garth et al 2007, for a comprehensive discussion of the general properties and basic concepts involved in the…”
A variational theory of hyperbolic Lagrangian Coherent Structures (2010, background): “In [2,3], we suggested that at time t0, a repelling LCS over [t0, t] should appear as a local maximizing curve, or ridge, of the Finite-Time Lyapunov Exponent (FTLE) field computed over initial conditions at t0.”
Transport of inertial particles by Lagrangian coherent structures: application to predator–prey interaction in jellyfish feeding (2009, methodology): “The new method enables analysis of transport of inertial particles, thereby extending previous studies in which FTLE and fluid Lagrangian coherent structures (LCS) were used to understand fluid transport in chaotic flows (Haller 2002; Shadden, Lekien & Marsden 2005; Shadden, Dabiri & Marsden 2006; F”
Detection of Lagrangian coherent structures in three-dimensional turbulence (2007, methodology): “To investigate this phenomenon, we compute the rate of strain normal to the surface of the LCS, given by 〈n, Sn〉, where n is the unit normal to the LCS. Theorem 3 of Haller (2002) states that the DLE ridge is an attracting material line if 〈n, Sn〉 0.”
Tricubic interpolation in three dimensions (2005, background): “This paper develops such a method and was motivated by the need for data interpolation in ocean dynamics (see Reference [3]).”
Lagrangian Coherent Structures (2015, background): “F or p er so na l u se o nl y. Mathematical criteria relating FTLE ridges to repelling LCS were obtained by Haller (2002, 2011), Farazmand & Haller (2012b), Tang et al. (2011b), and Karrasch (2012), with applications by Mathur et al. (2007), Green et al. (2007, 2010, 2011), and Tang et al. (2010b,…”
Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows (2005, methodology): “The precise definition of LCS presented in this paper is based on an idea proposed by Haller [12,14].”
Lagrangian coherent structures in n-dimensional systems (2007, background): “In Shadden et al. 2005 , LCS are defined from finite-time Lyapunov exponent FTLE fields, an idea proposed by Haller 2001, 2002 .”