Display Abstract

Title Attraction-based computation of hyperbolic geodesic LCS

Name Daniel Karrasch
Country Switzerland
Email karrasch@imes.mavt.ethz.ch
Co-Author(s) George Haller
Submit Time 2014-02-27 04:03:30
Session
Special Session 118: Transport barriers in unsteady fluid flows
Contents
We show that in two-dimensional incompressible flows also attracting Lagrangian Coherent Structures (LCSs) can show up as ridges of the forward finite-size and finite-time Lyapunov exponent (FTLE) fields. This contradicts the common identification of attracting/repelling LCSs with ridges of some separation measure field computed in backward/forward time. We present further computational issues related to repulsion-based LCS approaches. Finally, based on the recently developed geodesic approach to hyperbolic LCSs and the singular value decomposition of the spatial derivative of the flow map, we give an efficient numerical scheme which yields more accurate approximations of hyperbolic LCSs than previous approaches.