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[Paper] Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications

posted Oct 17, 2011, 7:31 AM by Teng-Yok Lee
Another paper about FTLE.

Garth, C.; Gerhardt, F.; Tricoche, X.; Hagen, H.; , "Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications," Visualization and Computer Graphics, IEEE Transactions on , vol.13, no.6, pp.1464-1471, Nov.-Dec. 2007
doi: 10.1109/TVCG.2007.70551


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.