  By performing a series of one- and two-dimensional (1-, 2D) hydrodynamic
simulations with spectral neutrino transport, we study possible impacts of
collective neutrino oscillations on the dynamics of core-collapse supernovae.
To model the spectral swapping which is one of the possible outcome of the
collective neutrino oscillations, we parametrize the onset time when the
spectral swap begins, the radius where the spectral swap occurs, and the
threshold energy above which the spectral interchange between heavy-lepton
neutrinos and electron/anti-electron neutrinos takes place, respectively. By
doing so, we systematically study how the neutrino heating enhanced by the
spectral swapping could affect the shock evolution as well as the matter
ejection. We also investigate the progenitor dependence using a suite of
progenitor models (13, 15, 20, and 25 $M_\odot$). We find that there is a
critical heating rate induced by the spectral swapping to trigger explosions,
which significantly differs between the progenitors. The critical heating rate
is generally smaller for 2D than 1D due to the multidimensionality that
enhances the neutrino heating efficiency. For the progenitors employed in this
paper, the final remnant masses are estimated to range in 1.1-1.5$M_\odot$. For
our 2D model of the $15M_\odot$ progenitor, we find a set of the oscillation
parameters that could account for strong supernova explosions ($\sim 10^{51}$
erg), simultaneously leaving behind the remnant mass close to $\sim 1.4
M_\odot$.
