Abstract
In this work we detect and analyse the filamentary tangle of vortices in three-dimensional random eigenfunctions of different systems. Although it is simple to approximately locate vortices in a plane, efficiently tracking their threedimensional conformations is more challenging, as it is necessary to accurately capture features such as their local topology even where they approach closely. We describe here the numerical techniques used to do so and their extensions to each model system. In particular, we introduce a recursive algorithm that can focus numerical effort only around the vortex curves, efficiently but accurately capturing their small-scale geometry and topology.
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Taylor, A.J. (2017). Numerical Methods. In: Analysis of Quantised Vortex Tangle. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-48556-0_2
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DOI: https://doi.org/10.1007/978-3-319-48556-0_2
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