The Status of Multi-Dimensional Core-Collapse Supernova Models
  Models of core-collapse supernova explosions powered by the neutrino-driven mechanism have matured considerable in recent years. Explosions at the low-mass end of the progenitor spectrum can routinely be simulated in 1D, 2D, and 3D and allow us to study supernova nucleosynthesis based on first-principle models. Results of nucleosynthesis calculations indicate that supernovae of the lowest masses could be important contributors of some lighter n-rich elements beyond iron. The explosion mechanism of more massive stars is still under investigation, although first 3D models of neutrino-driven explosions employing multi-group neutrino transport have recently become available. Together with earlier 2D models and more simplified 3D simulations, these have elucidated the interplay between neutrino heating and hydrodynamic instabilities in the post-shock region that is essential for shock revival. However, some physical ingredients may still need to be added or improved before simulations can robustly explain supernova explosions over a wide mass range. We explore possible issues that may affect the accuracy of supernova simulations, and review some of the ideas that have recently been explored as avenues to robust explosions, including uncertainties in the neutrino rates, rapid rotation, and an external forcing of non-radial fluid motions by strong seed perturbations from convective shell burning. The perturbation-aided neutrino-driven mechanism and the implications of recent 3D simulations of shell burning in supernova progenitors are discussed in detail. The efficacy of the perturbation-aided mechanism is illustrated by the first successful multi-group neutrino hydrodynamics simulation of an 18 solar mass progenitor with 3D initial conditions. We conclude with speculations about the potential impact of 3D effects on the structure of massive stars through convective boundary mixing. (abridged) 
B. M\"uller (Queen's University Belfast, Monash University)
astro-ph.SR astro-ph.HE