Abstract
Low-temperature grid-generated turbulence is investigated by using numerical simulations of the Gross-Pitaevskii equation. The statistics of regularized velocity increments are studied. Increments of the incompressible velocity are found to be skewed for turbulent states. Results are later confronted with the (quasi) homogeneous and isotropic Taylor-Green flow, revealing the universality of the statistics. For this flow, the statistics are found to be intermittent and a Kolmogorov constant close to the one of classical fluid is found for the second-order structure function.
Highlights
Superfluid turbulence has been largely studied in recent decades thanks to the progress achieved in experimental technics
As in classical 3D hydrodynamic turbulence [8], a turbulent Kolmogorov cascade is observed at scales in between the energy injection scale and mean intervortex distance [9,10]
In this work we investigate low-temperature superfluid turbulence generated by a moving grid using the GrossPitavskii equation (GPE)
Summary
Superfluid turbulence has been largely studied in recent decades thanks to the progress achieved in experimental technics. Today it is possible to create turbulent Bose-Einstein condensates (BEC) [1], visualize and track quantum vortices in BECs [2] and 4He [3,4,5], and study Lagrangian dynamics by using tracers [6,7] in 4He. As in classical 3D hydrodynamic turbulence [8], a turbulent Kolmogorov cascade is observed at scales in between the energy injection scale and mean intervortex distance [9,10]. In classical and superfluid three-dimensional turbulence, energy is usually injected at large scales by different types of forcing. When increasing the mean flow, the fluid behind the grid develops a series of instabilities creating a turbulent wake. Such classical experiments have been performed during the past decade using superfluids as 4He [21,22] and 3He [23]. The increments of the incompressible velocity are found to be intermittent
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