Nonlocality in Homogeneous Superfluid Turbulence
arXiv:1309.1797 · doi:10.1103/PhysRevB.90.144511
Abstract
Simulating superfluid turbulence using the localized induction approximation in periodic bound- aries produces open-orbit vortices, which make superfluid turbulence unsustainable. Calculating with the fully nonlocal Biot-Savart law prevents the open-orbit state from forming, but also in- creases computation time. We use a truncated Biot-Savart integral to investigate the effects of nonlocality on homogeneous turbulence. We find that including the nonlocal interaction up to the average intervortex spacing prevents this open-orbit state from forming, yielding an accurate model of homogeneous superfluid turbulence with less computation time.