  We investigate the stochastic Direct Simulation Monte Carlo method (DSMC) for
numerically solving the collision-term in heavy-ion transport theories of the
Boltzmann-Uehling-Uhlenbeck (BUU) type. The first major modification we
consider is changes in the collision rates due to excluded volume and
shadowing/screening effects (Enskog theory). The second effect studied by us is
the inclusion of an additional advection term. These modifications ensure a
non-vanishing second virial and change the equation of state for the scattering
process from that of an ideal gas to that of a hard-sphere gas. We analyse the
effect of these modifications on the calculated value of directed nuclear
collective flow in heavy ion collisions, and find that the flow slightly
increases.
