Large Scale Numerical Simulation for Superfluid Turbulence

Large scale numerical simulation of quantum turbulence is performed by using 3-D time-dependent Gross-Pitaevskii equation. The energy spectrum obeying Kolmogorov law and large scale self-similar structure of quantum vortex tangle are found in a fully developed dumped turbulent state. Width of the inertial range becomes large depending on the system size of the simulation that is consistent with the result of the normal fluid turbulence. On the other hand, bottleneck effect near coherent length prevents the inertial range from extending to smaller scale.