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20132021
most citedA Critical Comparison of Lagrangian Methods for Coherent Structure Detection

221 citations

Showing 2013 · math.DSShow all

5 papers · 2 filters

math.DS2013★ 12 cited

Attracting Lagrangian Coherent Structures on Riemannian manifolds

Daniel Karrasch

It is a wide-spread convention to identify repelling Lagrangian Coherent Structures (LCSs) with ridges of the forward finite-time Lyapunov exponent (FTLE) field, and attracting LCS…

math.DS2013★ 69 cited

Shearless transport barriers in unsteady two-dimensional flows and maps

Mohammad Farazmand, Daniel Blazevski, George Haller

We develop a variational principle that extends the notion of a shearless transport barrier from steady to general unsteady two-dimensional flows and maps defined over a finite tim…

math.DS2013★ 75 cited

Hyperbolic and Elliptic Transport Barriers in Three-Dimensional Unsteady Flows

Daniel Blazevski, George Haller

We develop a general theory of transport barriers for three-dimensional unsteady flows with arbitrary time-dependence. The barriers are obtained as two-dimensional Lagrangian Coher…

math.DS2013★ 51 cited

Do Finite-Size Lyapunov Exponents Detect Coherent Structures?

Daniel Karrasch, George Haller

Ridges of the Finite-Size Lyapunov Exponent (FSLE) field have been used as indicators of hyperbolic Lagrangian Coherent Structures (LCSs). A rigorous mathematical link between the…

math.DS2013★ 57 cited

Attracting and repelling Lagrangian coherent structures from a single computation

Mohammad Farazmand, George Haller

Hyperbolic Lagrangian Coherent Structures (LCSs) are locally most repelling or most attracting material surfaces in a finite-time dynamical system. To identify both types of hyperb…