We present an efficient algorithm able to predict the trajectories of indiv
idual cluster constituents as they penetrate relatively thick amorphous tar
gets. Our algorithm properly treats both the intracluster Coulomb repulsion
and the collisions between cluster constituents and target atoms. We have
compared our simulation predictions to experimental measurements of the dis
tribution of lateral exit velocities, and demonstrated that the in-target C
oulomb explosion of 2MeV/atom carbon clusters in carbon foils must be shiel
ded with a screening length of less than 2.5 Angstrom. We also present a si
mple phenomenological model for the suppression of the exit-side charge of
ions in clusters which depends on the enhanced ionization potential that on
electron near an ion feels due to the ion's charged comoving neighbors. By
using our simulation algorithm we have predicted the exit correlations of
the cluster constituents and verified that the charge suppression model fit
s the observed charge suppression of ions in clusters to within the experim
ental uncertainties.