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| Title | Efficient Computation and Visualization of Coherent Structures in Fluid Flow Applications
(Article) |
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| in | IEEE Transactions on Visualization and Computer Graphics (Proceedings IEEE Visualization 2007) |
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| Author(s) |
Christoph Garth, Florian Gerhardt, Xavier Tricoche, Hans Hagen |
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| Keyword(s) | Flow Visualization, Feature Detection, 3D Vector Field Visualization |
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| Year |
November 2007
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| Volume | 13 |
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| Number | 6 |
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| Pages | 1464--1471 |
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| 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.
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