A two dimensional probabilistic cellular automaton model has been developed to simulate the evolution of a dendritic grain structure during the solidification of an undercooled pure melt. The computer model incorporates rules for simulating heat transfer and grain nucleation and growth, as well as routines that enable short and long range transport of grains in the melt. Grain growth is restricted by procedures simulating latent heat rejection and capillarity. The model is used to examine the influences of the degree of undercooling and of chilling of the melt surface on grain structure.
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