  We study neutrino spin oscillations while the particles scatter off a
rotating black hole surrounded by a thick magnetized accretion disk. Neutrino
spin precession is caused by the interaction of the neutrino magnetic moment
with the magnetic field in the disk which has both toroidal and poloidal
components. Our calculation of the observed neutrino fluxes, accounting for
spin oscillations, are based on numerical simulations of the propagation of a
great number of incoming test particles using High Performance Parallel
Computing. The obtained results significantly improve our previous findings. We
briefly discuss the applications for the observations of astrophysical
neutrinos.
