  The quest for the supernova explosion mechanism has been one of the
outstanding challenges in computational astrophysics for several decades.
Simulations have now progressed to a stage at which the solution appears close
and neutrino and gravitational wave signals from self-consistent explosion
models are becoming available. Here we focus one of the recent advances in
supernova modeling, the inclusion of general relativity in multi-dimensional
neutrino hydrodynamics simulations, and present the latest simulation results
for an 11.2 and a 15 solar mass progenitor. We also mention 3D effects as
another aspect in supernova physics awaiting further, more thorough
investigation.
