Tree Method for Quantum Vortex Dynamics

被引：32

作者：

Baggaley, A. W. ^{[1
]}

Barenghi, C. F. ^{[1
]}

机构：

[1] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

来源：

JOURNAL OF LOW TEMPERATURE PHYSICS | 2012年 / 166卷 / 1-2期

关键词：

Superfluid helium; Turbulence; Vortices; LIQUID HELIUM-II; MUTUAL FRICTION; SUPERFLUID HE-4; HEAT CURRENT; SIMULATIONS; VORTICES; EVOLUTION; FLOW;

D O I：

10.1007/s10909-011-0405-6

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

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.

引用

页码：3 / 20

页数：18

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