  The cosmic star formation history in Cold Dark Matter dominated cosmological
scenarios is studied by means of hydrodynamical numerical simulations. In
particular, we explore a low density model with a Lambda-term and two high
density models with different power spectra, all of them being spatially flat.
Our simulations employ a fully nonlinear N-body and Eulerian hydrodynamics
algorithm with a model for star formation and supernovae feedback that depends
on two phenomenological parameters determined in agreement with previous
papers. We find a nearly constant star formation rate beyond z=1, and we
discuss which facts may determine the decrease in the SFR from z=1 to the
present epoch. The Lambda-term cosmology with realistic parameters for star
formation and feedback best reproduces the observed star formation history.

Astrophysics