@article{Garth:2007:ECA,
| title | = | "Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications", |
| journal | = | "IEEE Transactions on Visualization and Computer Graphics (Proceedings IEEE Visualization 2007)", |
| author | = | "Christoph
Garth AND Florian
Gerhardt AND Xavier
Tricoche AND Hans
Hagen ", |
| year | = | "2007", |
| month | = | nov, |
| keywords | = | "Flow Visualization, Feature Detection, 3D Vector Field Visualization", |
| pages | = | "1464--1471", |
| volume | = | "13", |
| number | = | "6", |
| abstract | = | "The recently introduced notion of Finite-Time Lyapunov Exponent to characterize Coherent Lagrangian Structures provides a powerful framework for the visualization and analysis of complex technical flows. Its definition is simple and intuitive, and it has a deep theoretical foundation. While the application of this approach seems straightforward in theory, the associated computational cost is essentially prohibitive. Due to the Lagrangian nature of this technique, a huge number of particle paths must be computed to fill the space-time flow domain. In this paper, we propose a novel scheme for the adaptive computation of FTLE fields in two and three dimensions that significantly reduces the number of required particle paths. Furthermore, for three-dimensional flows, we show on several examples that meaningful results can be obtained by restricting the analysis to a well-chosen plane intersecting the flow domain. Finally, we examine some of the visualization aspects of FTLE-based methods and introduce several new variations that help in the analysis of specific aspects of a flow.", |
