In the paper we present a variety of Monte Carlo algorithms, that can be em
ployed to simulate the grain growth in polycrystalline materials during sin
tering. The simulation algorithms of monophase or two-phase structure, on b
oth the square and triangular distribution of lattice points. possibly with
the second phase particles being either of static or dynamic nature, are d
escribed. The paper deals with oriented and anisotropic grain growth as wel
l. A considerable number of input parameters in the simulation procedure ma
kes it possible to set up a large amount of combinations of conditions unde
r which we want to simulate the sintering process.