Journal of Low Temperature Physics

, Volume 166, Issue 1–2, pp 3–20 | Cite as

Tree Method for Quantum Vortex Dynamics

Article

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 N2, 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.

Keywords

Superfluid helium Turbulence Vortices 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsNewcastle UniversityNewcastle upon TyneUK

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