Quantum turbulence exploration using the Gross-Pitaevskii equation

ORAL

Abstract

We solve numerically the Gross-Pitaevskii (GP) equation to simulate the dynamics of Quantum Turbulence (QT) in a periodic box. This intends to model the behaviour of superfluid helium in the low-temperature regime, therefore a viscous-free flow. Simulations are performed with a spectral code solving the GP equation using MPI-OpenMP parallel programming. We assess the effect of different initial conditions on the statistical behaviour of the flow, through both spectra and structure functions. Closures for non-linear energy transfer terms are proposed and validated, mainly based on vortex reconnection mechanism. Analogies and differences between QT and classical turbulence are drawn.

*We acknowledge financial support from the French ANR grant ANR-18-CE46-0013 QUTE-HPC. Part of this work used computational resources provided by CRIANN (Centre Régional Informatique et d'Applications Numériques de Normandie).

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Authors

  • Luminita Danaila

    • University of Rouen Normandy

  • Michikazu Kobayashi

    • Kyoto University

  • Francky LUDDENS

    • University of Rouen Normandy

  • Corentin Lothode

    • University of Rouen Normandy

  • Philippe PARNAUDEAU

    • University of Poitiers

  • Ionut Danaila

    • University of Rouen Normandy

  • Marc Brachet

    • Ecole Normale Supérieure Paris