We solve numerically the Gross-Pitaevskii (GP) equation to simulate the dynamics of Quantum Turbulence (QT) superflows for two distinct cases: (i) periodic box without trapping potential and (ii) periodic box with confining (harmonic) potential and rotation. The former case corresponds to the classical setting GP-QT simulations of superfluid Helium, while the latter corresponds to more recent settings of QT in Bose-Einstein condensates (BEC). We discuss in this work how to accurately prepare initial states with vortices before running numerical simulations of QT based on the GP equation. As in classical fluid turbulence, the numerical and physical accuracy of the initial condition could be crucial in computing properties of numerically generated QT. We present different models for the initial state, starting from dense Abrikosov lattices in a fast rotating BEC to fluid models inspired from classical turbulence. Simulations are performed with a spectral numerical code solving the GP equation using MPI-OpenMP parallel programming.
This is joint work with L. Danaila, M. Kobayashi, C. Lothode, F. Luddens and Ph. Parnaudeau.