Advantages and Disadvantages of Layer Growth Model in Which Particles Maximize Number of Lateral Bonds

In this paper we would like give a short review of our recent works and current investigation in modeling of solid film surfaces growth based on computer Monte Carlo simulations. We also discuss effect of some simplification in growth rules on speed-up of computations, and the time evolution of surface morphology (for example its roughness or anisotropy). We obtained qualitative agreement of computer simulation with experimental results for homoepitaxially grown simple metal films.