Large-scale normal fluid circulation in helium superflows

Galantucci, Luca; Sciacca, Michele; Barenghi, Carlo F.

doi:10.1103/physrevb.95.014509

Cited by 5 publications

(4 citation statements)

References 43 publications

(68 reference statements)

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“…In conclusion of this section, for the sake of completeness, it is important to mention that also Eq. (13) has been employed to take into account the back reaction of the superfluid vortices on the normal fluid, by averaging f sn on a normal fluid grid cell containing many vortex line elements [27][28][29].…”

Section: The Friction Forcementioning

confidence: 99%

“…However, most numerical simulations have determined the motion of vortex lines as a function of prescribed normal fluid profiles without taking into account the backreaction of the vortex lines [26] onto the normal fluid. Only a small number of investigations have addressed this back-reaction, but most efforts have suffered from some shortcomings: They were restricted to two-dimensional channels [27,28], had too limited numerical resolution to address fully developed turbulence [29], considered only simple vortex configurations [30,31], were limited to decaying turbulence [32]), or did not reach the statistically steady state which is necessary to make direct comparison to classical turbulence.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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We present the Fully cOUpled loCAl model of sUperfLuid Turbulence (FOU-CAULT) 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.

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Section: The Friction Forcementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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“…In conclusion of this section, for the sake of completeness it is important to mention that also Eq. ( 13) has been employed to take into account the back reaction of the superfluid vortices on the normal fluid, by averaging f sn on a normal fluid grid cell containing many vortex line elements [27][28][29].…”

Section: (Iii) Self-consistent Local Frictionmentioning

confidence: 99%

“…However, most numerical simulations have determined the motion of vortex lines as a function of prescribed normal fluid profiles without taking into account the back-reaction of the vortex lines [26] onto the normal fluid. Only a small number of investigations have addressed this back-reaction, but most efforts have suffered from some shortcomings: they were restricted to two-dimensional channels [27,28], had too limited numerical resolution to address fully developed turbulence [29], considered only simple vortex configurations [30,31], were limited to decaying turbulence [32]), or did not reach the statistically steady-state which is necessary to make direct comparison to classical turbulence.…”

Section: Introductionmentioning

confidence: 99%

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

Galantucci¹,

Baggaley²,

Barenghi³

et al. 2020

Preprint

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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 induce 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 and for evaluating the velocity of the normal fluid on the Lagrangian discretization 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.

show abstract