# Local and nonlocal dynamics in superfluid turbulence

@article{SherwinRobson2014LocalAN, 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}, year={2014}, volume={91}, pages={104517} }

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…

## 12 Citations

### Classical helicity of superfluid helium

- Physics
- 2018

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

- Physics
- 2020

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

- PhysicsThe European Physical Journal Plus
- 2020

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

- PhysicsPhysical Review B
- 2021

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

- PhysicsPhysical Review Fluids
- 2020

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

- Physics
- 2022

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

- Physics
- 2018

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

- PhysicsScientific reports
- 2016

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

- Physics
- 2018

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

- Physics
- 2017

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…

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Abstract
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