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Complexity measures of tangled vortex filaments

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Tubes, Sheets and Singularities in Fluid Dynamics

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 71))

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Abstract

We introduce and test measures of geometric and topological complexity to quantify morphological aspects of a tangle of vortex filaments. The tangle is produced by standard numerical simulation of superfluid turbulence in Helium II. Complexity measures such as linking number, writhing number, average crossing number and helicity are computed, and their relation to the energy of the fluid is investigated.

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© 2002 Kluwer Academic Publishers

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Barenghi, C.F., Samuels, D.C., Ricca, R.L. (2002). Complexity measures of tangled vortex filaments. In: Bajer, K., Moffatt, H.K. (eds) Tubes, Sheets and Singularities in Fluid Dynamics. Fluid Mechanics and Its Applications, vol 71. Springer, Dordrecht. https://doi.org/10.1007/0-306-48420-X_10

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  • DOI: https://doi.org/10.1007/0-306-48420-X_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0980-8

  • Online ISBN: 978-0-306-48420-9

  • eBook Packages: Springer Book Archive

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