Tree method for quantum vortex dynamics

Baggaley, A.W. and Barenghi, C.F. (2012) Tree method for quantum vortex dynamics. Journal of Low Temperature Physics, 166(1-2), pp. 3-20. (doi: 10.1007/s10909-011-0405-6)

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We present a numerical method to compute the evolution of vortex filaments in superfluid helium. The method is based on a tree algorithm which considerably speeds up the calculation of Biot-Savart integrals. We show that the computational cost scales as Nlog(N) rather than N 2, where N is the number of discretization points. We test the method and its properties for a variety of vortex configurations, ranging from simple vortex rings to a counterflow vortex tangle, and compare results against the Local Induction Approximation and the exact Biot-Savart law.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Baggaley, Dr Andrew
Authors: Baggaley, A.W., and Barenghi, C.F.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Low Temperature Physics
ISSN (Online):1573-7357
Published Online:08 October 2011

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