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Modeling of the growth and interactions of equiaxed dendrites on a mesoscopic scale
The interactions between multiple equiaxed dendritic grains during diffusion-controlled growth into the supercooled melt of a pure substance are modelled using a novel mesoscopic simulation technique. The mesoscopic scale is of the order of the diameter of the dendrite envelopes, which is large compared to the interdendritic spacings. In the model, the calculation of the temperature field in the supercooled liquid is coupled with a modified stagnant film model for dendritic growth and the evolution of the internal solid fraction inside the grain envelopes is predicted. Three-dimensional numerical results are presented for the transient growth of multiple grains in the presence of strong thermal interactions.