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

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 vort...

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Published in:European physical journal plus Vol. 135; no. 7; p. 547
Main Authors: Galantucci, Luca, Baggaley, Andrew W., Barenghi, Carlo F., Krstulovic, Giorgio
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2020
Springer Nature B.V
Springer
Subjects:
Applied and Technical Physics
Atomic
Atoms & subatomic particles
Complex Systems
Condensed Matter
Condensed Matter Physics
Electron microscopes
Experiments
Finite element method
Fluid dynamics
Fluid flow
Fluids
Friction
Helium
Liquid helium
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Other
Phase transitions
Physics
Physics and Astronomy
Quantum turbulence
Regular Article
Simulation
Superfluidity
Temperature
Theoretical
Viscous fluids
Vortex filaments
Vortex rings
Vortices
ISSN:2190-5444, 2190-5444
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Abstract 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.
AbstractList 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.
ArticleNumber 547
Author Barenghi, Carlo F.
Krstulovic, Giorgio
Baggaley, Andrew W.
Galantucci, Luca
Author_xml – sequence: 1
  givenname: Luca
  orcidid: 0000-0002-3435-4259
  surname: Galantucci
  fullname: Galantucci, Luca
  email: luca.galantucci@newcastle.ac.uk
  organization: Joint Quantum Centre Durham-Newcastle, School of Mathematics, Statistics and Physics, Newcastle University
– sequence: 2
  givenname: Andrew W.
  surname: Baggaley
  fullname: Baggaley, Andrew W.
  organization: Joint Quantum Centre Durham-Newcastle, School of Mathematics, Statistics and Physics, Newcastle University
– sequence: 3
  givenname: Carlo F.
  surname: Barenghi
  fullname: Barenghi, Carlo F.
  organization: Joint Quantum Centre Durham-Newcastle, School of Mathematics, Statistics and Physics, Newcastle University
– sequence: 4
  givenname: Giorgio
  surname: Krstulovic
  fullname: Krstulovic, Giorgio
  organization: Université Côte d’Azur, Observatoire de la Côte d’Azur, CNRS, Laboratoire Lagrange, Bd de l’Observatoire
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Snippet We present the Fully cOUpled loCAl model of sUperfLuid Turbulence (FOUCAULT) that describes the dynamics of finite temperature superfluids. The superfluid...
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SubjectTerms Applied and Technical Physics
Atomic
Atoms & subatomic particles
Complex Systems
Condensed Matter
Condensed Matter Physics
Electron microscopes
Experiments
Finite element method
Fluid dynamics
Fluid flow
Fluids
Friction
Helium
Liquid helium
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Other
Phase transitions
Physics
Physics and Astronomy
Quantum turbulence
Regular Article
Simulation
Superfluidity
Temperature
Theoretical
Viscous fluids
Vortex filaments
Vortex rings
Vortices
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Title A new self-consistent approach of quantum turbulence in superfluid helium
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