Tree method for quantum vortex dynamics

Details Tree method for quantum vortex dynamics Tree method for quantum vortex dynamics

2011-08-04

arxiv.org/abs/1108.1119v2

Physics

Condensed Matter

Statistical Mechanics

12 pages, 10 figures

Scientific paper

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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