Using a model of long-range interactions between vortices, we numerically i
nvestigate the dynamics of a driven vortex lattice subject to the randomly
distributed pointlike pinning centers in a thin superconducting film. At ze
ro temperature, crossover from elastic to plastic depinnings is observed wi
th increasing density of pinning centers. With the lattice softness, the sc
aling fit between force and velocity obtained in the elastic regime becomes
invalid when the plastic flow appears. The peak effect occurs when one ent
ers the plastic regime and the lattice tearing first enhances the critical
current density j(c) and then suppresses it. "Steps" in the curve of veloci
ty-force dependence and its differential are also found in the plastic regi
me. For the finite-temperature case, we see evidence of plastic and filamen
tary flow at low driving forces and temperatures. At high driving forces an
d low enough temperatures, evidence of an ordering of the moving vortices i
s seen in the flux flow regime. Our results are in agreement with all the p
revious simulations and recent experiments.