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3D Loop Detection and Visualization in Vector Fields

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Visualization and Mathematics III

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Summary

Visualization has developed a tendency to use mathematical analysis to obtain and present important data properties. In three-dimensional fluid flows, engineers are interested in several important features. One type are recirculation zones where the fluid stays for a long time. This plays a key role in combustion problems since recirculation allows a completion of chemical reactions which usually have a smaller time scale than fluid dynamics. Strong indicators for such recirculation zones are looping streamlines in a steady vector field or in the time steps of unsteady data. The article presents a method for the detection of such loops by analyzing streamlines approaching them.

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© 2003 Springer-Verlag Berlin Heidelberg

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Wischgoll, T., Scheuermann, G. (2003). 3D Loop Detection and Visualization in Vector Fields. In: Hege, HC., Polthier, K. (eds) Visualization and Mathematics III. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05105-4_8

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  • DOI: https://doi.org/10.1007/978-3-662-05105-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05682-6

  • Online ISBN: 978-3-662-05105-4

  • eBook Packages: Springer Book Archive

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