Using a collapsar progenitor model of MacFadyen & Woosley, we have simulate
d the propagation of an axisymmetric jet through a collapsing rotating mass
ive star with the GENESIS multidimensional relativistic hydrodynamic code.
The jet forms as a consequence of an assumed (constant or variable) energy
deposition in the range of 10(50)-10(51) ergs s(-1) within a 30 degrees con
e around the rotation axis. The jet flow is strongly beamed (approximately
less than a few degrees), spatially inhomogeneous, and time dependent. The
jet reaches the surface of the stellar progenitor (R* = 2.98 x 10(10) cm) i
ntact. At breakout, the maximum Lorentz factor of the jet flow is 33. After
breakout, the jet accelerates into the circumstellar medium, whose density
is assumed to decrease exponentially and then become constant, rho(ext) =
10(-5) g cm(-3). Outside the star, the flow begins to expand laterally also
(v similar to c), but the beam remains very well collimated. At a distance
of 2.54 R*, where the simulation ends, the Lorentz factor has increased to
44.