173 citations · 485 across the 16 of their papers we have counts for
6 papers · 1 filter
A Geometric Heat-Flow Theory of Lagrangian Coherent Structures
Daniel Karrasch, Johannes Keller
We consider Lagrangian coherent structures (LCSs) as the boundaries of material subsets whose advective evolution is metastable under weak diffusion. For their detection, we first…
Attraction-Based Computation of Hyperbolic Lagrangian Coherent Structures
Daniel Karrasch, Mohammad Farazmand, George Haller
Recent advances enable the simultaneous computation of both attracting and repelling families of Lagrangian Coherent Structures (LCS) at the same initial or final time of interest.…
Automated detection of coherent Lagrangian vortices in two-dimensional unsteady flows
Daniel Karrasch, Florian Huhn, George Haller
Coherent boundaries of Lagrangian vortices in fluid flows have recently been identified as closed orbits of line fields associated with the Cauchy-Green strain tensor. Here we deve…
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…
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…
Linearization of Hyperbolic Finite-Time Processes
Daniel Karrasch
We adapt the notion of processes to introduce an abstract framework for dynamics in finite time, i.e.\ on compact time sets. For linear finite-time processes a notion of hyperbolic…