  Self-induced flavor conversions of supernova (SN) neutrinos can strongly
modify the flavor dependent fluxes. We perform a linearized flavor stability
analysis with accretion-phase matter profiles of a 15 M_sun spherically
symmetric model and corresponding neutrino fluxes. We use realistic energy and
angle distributions, the latter deviating strongly from quasi-isotropic
emission, thus accounting for both multi-angle and multi-energy effects. For
our matter and neutrino density profile we always find stable conditions:
flavor conversions are limited to the usual MSW effect. In this case one may
distinguish the neutrino mass hierarchy in a SN neutrino signal if the mixing
angle theta_13 is as large as suggested by recent experiments.
