Quantum turbulence in superfluid helium: a self-consistent approach

Luca Galantucci, Andrew W. Baggaley, Carlo F. Barenghi, Giorgio Krstulovic

Published 2020-01-06Version 1

We study a model of superfluid dynamics at finite temperature where the superfluid component is described by the vortex filament method and the normal fluid through the Navier-Stokes equations. The dynamics of both components are fully coupled in a self-consistent manner. We study the numerical issues emerging from the coupling of the two components. The main focus of this work is the choice of the numerical scheme for distributing the mutual friction force, supported on the vortex filaments, to the mesh points where the normal fluid is defined. In particular, we show that this is a crucial aspect of the fully coupled model and a non-careful choice leads to spurious results. We propose a new scheme based on physical grounds to overcome this issue. Finally, the new numerical method to solve the fully-coupled self-consistent model is then validated numerically.