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. |
|