ABSTRACT
This chapter describes the numerical algorithms of cellular automaton models and also show some examples how to put cellular automaton models into practical usage. The significant advances of numerical modelling techniques have made it possible to analyze transport phenomena, including heat, mass and momentum transfer in the mushy zone during solidification to a high level of detail, leading to the development of various models of microstructure evolution in solidification of alloys. Control of solidification microstructures is of prime importance for the control of the properties and quality of final casting products in modern casting technology. Prediction of microstructure evolution in solidification of alloys is a key factor in controlling solidification microstructures. The chapter considers the purpose of modelling the microstructure evolution in alloy solidification, there are two perspectives: if one puts emphasis on physics, quantitative understanding of physical phenomena is an important aspect.
