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arXiv · 1108.1119

Tree method for quantum vortex dynamics

Andrew W. Baggaley·Carlo F. Barenghi
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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 squared, 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.

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cond-mat.stat-mechcond-mat.otherphysics.comp-phphysics.flu-dyn

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BibTeXRIS

Andrew W. Baggaley, Carlo F. Barenghi. 2011-09-20. Tree method for quantum vortex dynamics. https://doi.org/10.1007/s10909-011-0405-6

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