The Sensitivity of the Vortex Filament Method to Different Reconnection Models

被引:41
作者
Baggaley, A. W. [1 ]
机构
[1] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
关键词
Superfluid helium; Vortices; Turbulence; LIQUID HELIUM-II; SUPERFLUID TURBULENCE; MUTUAL FRICTION; QUANTIZED VORTICES; HEAT CURRENT; DYNAMICS; HE-4; FLOW; CURRENTS;
D O I
10.1007/s10909-012-0605-8
中图分类号
O59 [应用物理学];
学科分类号
摘要
We present a detailed analysis on the effect of using different algorithms to model the reconnection of vortices in quantum turbulence, using the thin-filament approach. We examine differences between four main algorithms for the case of turbulence driven by a counterflow. In calculating the velocity field we use both the local induction approximation (LIA) and the Biot-Savart integral. We show that results of Biot-Savart simulations are not sensitive to the particular reconnection method used, but LIA results are.
引用
收藏
页码:18 / 30
页数:13
相关论文
共 51 条
[1]   Steady-state counterflow quantum turbulence: Simulation of vortex filaments using the full Biot-Savart law [J].
Adachi, Hiroyuki ;
Fujiyama, Shoji ;
Tsubota, Makoto .
PHYSICAL REVIEW B, 2010, 81 (10)
[2]   Numerical Studies of Counterflow Turbulence [J].
Adachi, Hiroyuki ;
Tsubota, Makoto .
JOURNAL OF LOW TEMPERATURE PHYSICS, 2010, 158 (3-4) :422-427
[3]   LOCALIZED-INDUCTION CONCEPT ON A CURVED VORTEX AND MOTION OF AN ELLIPTIC VORTEX RING [J].
ARMS, RJ ;
HAMA, FR .
PHYSICS OF FLUIDS, 1965, 8 (04) :553-&
[4]   Vortex-density fluctuations in quantum turbulence [J].
Baggaley, A. W. ;
Barenghi, C. F. .
PHYSICAL REVIEW B, 2011, 84 (02)
[5]   Spectrum of turbulent Kelvin-waves cascade in superfluid helium [J].
Baggaley, Andrew W. ;
Barenghi, Carlo F. .
PHYSICAL REVIEW B, 2011, 83 (13)
[6]   Superfluid vortex lines in a model of turbulent flow [J].
Barenghi, CF ;
Samuels, DC ;
Bauer, GH ;
Donnelly, RJ .
PHYSICS OF FLUIDS, 1997, 9 (09) :2631-2643
[7]   FRICTION ON QUANTIZED VORTICES IN HELIUM .2. A REVIEW [J].
BARENGHI, CF ;
DONNELLY, RJ ;
VINEN, WF .
JOURNAL OF LOW TEMPERATURE PHYSICS, 1983, 52 (3-4) :189-247
[8]  
BARENGHI CF, 2008, CISM COURSES LECT NO
[9]   Superfluid helium - Visualization of quantized vortices [J].
Bewley, Gregory P. ;
Lathrop, Daniel P. ;
Sreenivasan, Katepalli R. .
NATURE, 2006, 441 (7093) :588-588
[10]   Generation of turbulence by vibrating forks and other structures in superfluid 4He [J].
Blazkova, M. ;
Schmoranzer, D. ;
Skrbek, L. ;
Vinen, W. F. .
PHYSICAL REVIEW B, 2009, 79 (05)