Time and length scale issues in numerical modelling of dynamic recrystallization based on the multi space cellular automata method

Critical evaluation of influence of time step length and cell size on cellular automata models behavior during microstructure evolution simulations is the subject of the present work. Dynamic Recrystallization was selected as a case study for CA model application. First, general information on CA model assumptions are presented. Then series of advanced modifications including different dislocation generations schemes, multi space concept and scaling of nuclei sizes is presented. As a result, a robust numerical CA model was established and it was used to highlight importance of proper selection of time step length and cellular automata cell size. The work revealed that there is a clear relation between the two investigated factors and they have to be properly defined in order to reach the threshold values where CA model is becoming insensitive to the technical parameters.