Local and nonlocal dynamics in superfluid turbulence

  title={Local and nonlocal dynamics in superfluid turbulence},
  author={Lucy Kathleen Sherwin-Robson and Carlo F. Barenghi and Andrew W. Baggaley},
  journal={Physical Review B},
Turbulence in superfluid helium~II is a tangle of quantized vortex lines which interact via the classical Biot-Savart law. We show that vortex tangles with the same vortex line density will have different energy spectra, depending on the normal fluid which feeds energy into the superfluid component, and identify the spectral signature of two forms of superfluid turbulence: Kolmogorov tangles and Vinen tangles. By decomposing the superfluid velocity field into local and nonlocal contributions… 

Classical helicity of superfluid helium

Helicity - a quadratic invariant of the classical Euler equation like the energy - plays a fundamental role in turbulent flows, controlling the strength of the nonlinear interactions which cascade

Quantum turbulence in superfluid helium: a self-consistent approach

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

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

Mesoscale helicity distinguishes Vinen from Kolmogorov turbulence in helium-II

Experiments and numerical simulations show that quantum turbulence exists in two distinct limiting regimes: Kolmogorov turbulence (which shares with classical turbulence the important property of a

Coarse-grained pressure dynamics in superfluid turbulence

Quantum mechanics places significant restrictions on the hydrodynamics of superfluid flows. Despite this it has been observed that turbulence in superfluids can, in a statistical sense, share many of

Vorticity Locking and Pressure Dynamics in Finite-Temperature Superfluid Turbulence

We present a numerical study of finite-temperature superfluid turbulence using the vortex filament model for superfluid helium. We examine the phenomenon of vorticity locking between the normal and

M ay 2 01 8 Classical helicity of superfluid helium

Helicity a quadratic invariant of the classical Euler equation like the energy plays a fundamental role in turbulent flows, controlling the strength of the nonlinear interactions which cascade energy

Regimes of turbulence without an energy cascade

Simple physical mechanisms which prevent the formation of Kolmogorov scaling in the thermal counterflow are described and the conditions necessary for emergence of quasiclassical regime in quantum turbulence generated by injection of vortex rings at low temperatures are analyzed.

Experimental and numerical investigation of quantum turbulence in He II

Superfluid He (He II) is a quantum liquid whose flow is strongly affected by quantum mechanical effects. This thesis presents experimental and numerical studies of turbulent flows in He II – quantum

Scaling laws of wave-cascading superfluid turbulence

Phenomenological model is constructed for superfluid turbulence for two distinct energy cascade scenarios, sound wave cascade and critically-balanced Kelvin wave cascade, using the method for



Three-dimensional vortex dynamics in superfluid 4He: Homogeneous superfluid turbulence.

  • Schwarz
  • Physics
    Physical review. B, Condensed matter
  • 1988
The behavior of a tangle of quantized vortex lines subject to uniform superfluid and normal-fluid driving velocities is investigated and the quantitative results obtained are found to be in excellent absolute agreement with a large variety of experiments, including recent studies of the vortex-tangle anisotropy.

Quantum and quasiclassical types of superfluid turbulence.

By injecting negative ions in superfluid 4He in the zero-temperature limit (T<or=0.5 K), the vortex line length L was found to decay at late time t as L proportional to t{-1}, the prefactor being independent of the initial value of L.

Coherent vortex structures in quantum turbulence

Quantum turbulence, easily generated in superfluid helium, consists of a disordered tangle of thin, discrete vortex lines of quantised circulation which move in a fluid without viscosity. In this

Vortex-density fluctuations, energy spectra, and vortical regions in superfluid turbulence.

Using a numerical model, it is shown that at each instance of time the total vortex line density can be decomposed into two parts: one formed by metastable bundles of coherent vortices, and one in which the vorts are randomly oriented.

On Developed Superfluid Turbulence

Superfluid turbulence is governed by two dimensionless parameters. One of them is the intrinsic parameter q which characterizes the relative value of the friction force acting on a vortex with

Characterization of reconnecting vortices in superfluid helium

This work presents the first experimental observations of reconnection between quantized vortices in superfluid helium by imaging micrometer-sized solid hydrogen particles trapped on quantized vortex cores and inferring the occurrence of reconnections from the motions of groups of recoiling particles.

Vortex reconnection in superfluid helium.

This work considers the nonlinear Schrodinger equation model of superfluid quantum mechanics, and uses numerical simulation to study this topology changing core-scale process of vortex reconnection.

Numerical Simulations of Superfluid Turbulence under Periodic Conditions

Abstract This paper is devoted to numerical simulation of vortex tangle dynamics in superfluid helium. The problem is solved on the base of the so called reconnection ansatz consisting of the

Vortex filament method as a tool for computational visualization of quantum turbulence

The results are in agreement with previous studies showing that under certain conditions, vortices form coherent bundles, which allows for classical vortex stretching, giving quantum turbulence a classical nature.

Thermally and mechanically driven quantum turbulence in helium II

In most experiments with superfluid helium, turbulence is generated thermally (by applying a heat flux, as in thermal counterflow) or mechanically (by stirring the liquid). By modeling the superfluid