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
收藏
页码：3 / 20
页数：18
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