Thu, 21 Aug 2008 09:50:30 BST CiteULike: l-alex's Gerhardt http://www.citeulike.org/user/l-alex/author/Gerhardt CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/l-alex/article/2185200 <i>Transactions on Visualization and Computer Graphics, Vol. 13, No. 6. (2007), pp. 1464-1471.</i><br /><br />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. Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications Christoph Garth Florian Gerhardt Xavier Tricoche doi:10.1109/TVCG.2007.70551 Transactions on Visualization and Computer Graphics, Vol. 13, No. 6. (2007), pp. 1464-1471. 2008-01-01T13:20:21-00:00 2007 Transactions on Visualization and Computer Graphics 13 6 1464 1471 coherent-structures lyapunov mixing stretching