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 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4376175&isnumber=4376125The 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.
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