One of the main purposes in Materials Science remains the control of t
he microstructure because it influences a great number of properties m
echanical, magnetic, ... From the casting step, this microstructure tr
ansforms during the different thermal and thermomechanical treatments.
The driving force involved in primary recrystallisation is at the fir
st order the dislocation density whereas the area reduction of grain b
oundaries, the grain size distribution, the spatial distribution of bo
undaries, the crystallographic texture, the chemistry of the material
control grain growth. In the first step, analytical models of growth w
ill be recalled, then in a second step the recent progress on primary
recrystallisation and growth simulation using Monte Carte method will
be described.