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Comparing Finite-Time Lyapunov Exponents in Approximated Vector Fields

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Topological Methods in Data Analysis and Visualization IV (TopoInVis 2015)

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Abstract

In the context of fluid mechanics, larger and larger flow fields arise. The analysis of such fields on current work stations is heavily restricted by memory. Approximation limits this problem. In this paper, we discuss the impact of vector field approximation on visualization techniques on the example of Finite-Time Lyapunov Exponent (FTLE) computations. Thereby, we consider the results of three different vector field compression approaches and analyze the reliability of integration results as well as their impact on two different FTLE variants.

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Acknowledgements

We thank Markus Rütten, Guillaume Daviller, and Bernd Noack for providing the simulation datasets. Special thanks go to the FAnToM development group for providing the visualization software. We also thank Jens Kasten for the fruitful discussions. This work was partially supported by the European Social Fund (Appl. No. 100098251).

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Correspondence to Stefan Koch .

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Koch, S., Volke, S., Scheuermann, G., Hagen, H., Hlawitschka, M. (2017). Comparing Finite-Time Lyapunov Exponents in Approximated Vector Fields. In: Carr, H., Garth, C., Weinkauf, T. (eds) Topological Methods in Data Analysis and Visualization IV. TopoInVis 2015. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-319-44684-4_16

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