F. Sadlo, R. Peikert:

Visualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology

In Topology-Based Methods in Visualization II, Springer Berlin Heidelberg, pp. 15–29, 2009.

Abstract

This paper takes a look at the visualization side of vector field anal ysis based on Lagrangian coherent structures. The Lagrangian coherent structures are extracted as height ridges of finite-time Lyapunov exponent fields. The result ing visualizations are compared to those from traditional instantaneous vector field topology of steady and unsteady vector fields: they often provide more and better interpretable information. The examination is applied to 3D vector fields from a dynamical system and practical CFD simulations.

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