Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications

@article{citeulike:2185200, 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.}, author = {Garth, Christoph and Gerhardt, Florian and Tricoche, Xavier }, booktitle = {Transactions on Visualization and Computer Graphics}, citeulike-article-id = {2185200}, doi = {10.1109/TVCG.2007.70551}, journal = {Transactions on Visualization and Computer Graphics}, keywords = {coherent-structures, lyapunov, mixing, stretching}, number = {6}, pages = {1464--1471}, posted-at = {2008-01-01 13:20:49}, priority = {2}, title = {Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications}, url = {http://dx.doi.org/10.1109/TVCG.2007.70551}, volume = {13}, year = {2007} }

TY - JOUR ID - citeulike:2185200 TI - Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications T2 - Transactions on Visualization and Computer Graphics JF - Transactions on Visualization and Computer Graphics VL - 13 IS - 6 SP - 1464 EP - 1471 N2 - 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. KW - coherent-structures KW - lyapunov KW - mixing KW - stretching AU - Garth, Christoph AU - Gerhardt, Florian AU - Tricoche, Xavier PY - 2007/// UR - http://dx.doi.org/10.1109/TVCG.2007.70551 ER -