Numerical simulations of the cosmic star formation history
  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. 
Y. Ascasibar, G. Yepes, S. Gottloeber and V. Mueller