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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Abstract
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 |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| 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: | 0022-2291 |
| ISSN (Online): | 1573-7357 |
| Published Online: | 08 October 2011 |
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