The sensitivity of the vortex filament method to different reconnection models

Abstract

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 full Biot-Savart integral. We show that results of Biot-Savart simulations are not sensitive to the particular reconnection method used, but LIA results are.

9 pages, 9 figures

References in corpus (4)

• Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
• Quantum turbulence in propagating superfluid vortex front
• Cascade of vortex loops initiated by a single reconnection of quantum vortices
• Vortex density fluctuations in quantum turbulence

Cited by in corpus (26)

• Quantum vortex reconnections
• Numerical Studies of Quantum Turbulence
• Vortex filament method as a tool for computational visualization of quantum turbulence
• Structure of quantum vortex tangle in He-4 counterflow turbulence
• Thermally- and mechanically-driven quantum turbulence in helium II
• Crossover from interaction to driven regimes in quantum vortex reconnections
• Vortex line density in counterflowing He II with laminar and turbulent normal fluid velocity profiles
• Thermal counterflow in a periodic channel with solid boundaries
• Coherent laminar and turbulent motion of toroidal vortex bundles
• Dissipation enhancement from a single vortex reconnection in superfluid helium
• Separation scaling for viscous vortex reconnection
• Interactions between unidirectional quantized vortex rings
• Local and nonlocal dynamics in superfluid turbulence
• Superfluid turbulence driven by cylindrically symmetric thermal counterflow
• Large-scale superfluid vortex rings at nonzero temperatures
• A note on the propagation of quantized vortex rings through a quantum turbulence tangle: Energy transport or energy dissipation?
• Coupled dynamics of quantized vortices and normal fluid in superfluid ${}^4$He based on lattice Boltzmann method
• Mesoscale helicity distinguishes Vinen from Kolmogorov turbulence in helium II
• Inviscid diffusion of vorticity in low temperature superfluid helium
• Acceleration statistics in thermally driven superfluid turbulence
• Nonlocality in Homogeneous Superfluid Turbulence
• Vorticity Locking and Pressure Dynamics in Finite-Temperature Superfluid Turbulence
• Coarse-grained pressure dynamics in superfluid turbulence
• Modelling turbulent flow of superfluid ${}^4$He past a rough solid wall in the $T=0$ limit
• Coupling Navier-Stokes and Gross-Pitaevskii equations for the numerical simulation of two-fluid quantum flows
• Emergent Quantum Dynamics of Vortex Line under Linear Local Induction Approximation