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A new self-consistent approach of quantum turbulence in superfluid helium

Lookup NU author(s): Dr Luca Galantucci, Dr Andrew BaggaleyORCiD, Professor Carlo Barenghi



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


We present the Fully cOUpled loCAl model of sUperfLuid Turbulence (FOUCAULT) that describes the dynamics of finite temperature superfluids. The superfluid component is described by the vortex filament method while the normal fluid is governed by a modified Navier–Stokes equation. The superfluid vortex lines and normal fluid components are fully coupled in a self-consistent manner by the friction force, which induces local disturbances in the normal fluid in the vicinity of vortex lines. The main focus of this work is the numerical scheme for distributing the friction force to the mesh points where the normal fluid is defined (stemming from recent advances in the study of the interaction between a classical viscous fluid and small active particles) and for evaluating the velocity of the normal fluid on the Lagrangian discretisation points along the vortex lines. In particular, we show that if this numerical scheme is not careful enough, spurious results may occur. The new scheme which we propose to overcome these difficulties is based on physical principles. Finally, we apply the new method to the problem of the motion of a superfluid vortex ring in a stationary normal fluid and in a turbulent normal fluid.

Publication metadata

Author(s): Galantucci L, Baggaley AW, Barenghi CF, Krstulovic G

Publication type: Article

Publication status: Published

Journal: The European Physical Journal Plus

Year: 2020

Volume: 135

Online publication date: 06/07/2020

Acceptance date: 17/06/2020

Date deposited: 14/10/2020

ISSN (electronic): 2190-5444

Publisher: Springer


DOI: 10.1140/epjp/s13360-020-00543-0


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Funder referenceFunder name
GIANTE ANR-18CE30-0020-01