Numerical modeling of supernova spectra, light curves, and hydrodynami
cs requires physical inputs, numerical techniques, approximations, and
assumptions which must be thoroughly understood in order to study the
details of supernova explosions. Here, we discuss some of these in th
e context of the early evolution of supernova 1987A. Gray radiation-hy
drodynamics is used to calculate the bolometric light curve and the hy
drodynamic evolution of the supernova. Synthetic spectra are then obta
ined for the resulting density and velocity structure. The spectrum ca
lculations are performed using a special-relativistic treatment of the
radiative transfer equation in the comoving frame, line blanketing by
about 10(5) spectral lines, and departures from LTE for H I, He I Mg
II, and Ca II. We find that we are able to simultaneously fit the earl
y light curve and spectra reasonably well, using a progenitor model fr
om Arnett (1991a), without fine-tuning the free parameters. Temperatur
e structures and radiative equilibrium, non-LTE effects, homologous ex
pansion, and mean opacities are discussed.