Local induction approximation in the theory of superfluid turbulence. Numerical consideration
M. V. Nedoboiko
TL;DR
This paper investigates the local induction approximation (LIA) in superfluid turbulence through numerical simulations, focusing on vortex dynamics and the evolution of vortex loop spectra.
Contribution
It provides a numerical analysis of the LIA's features and its impact on vortex loop spectrum evolution in superfluid turbulence.
Findings
LIA captures key features of vortex dynamics.
Vortex loop spectrum evolves predictably under LIA.
Numerical results highlight limitations and strengths of LIA.
Abstract
The local induction approximation (LIA) of the Biot-Savart law is often used for numerical and analytical investigations of vortex dynamics in the theory of superfluid turbulence. In this paper, using numerical simulation, some features of the LIA is considered. The temporal evolution of vortex loop spectrum is studied numerically.
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Taxonomy
TopicsMagnetic confinement fusion research · Quantum, superfluid, helium dynamics · Superconducting Materials and Applications