Numerical Simulation of Three-Dimensional Dendritic Growth

Abstract

Dendritic crystal growth in a pure undercooled melt is simulated quantitatively in three dimensions using a phase-field approach. The full non-axisymmetric morphology of the steady-state dendrite tip and ${\sigma }^{\ast }$ are determined as a function of anisotropy for a crystal with a cubic symmetry. Results are compared to experiment and used to critically test solvability theory.

4 pages ReVTeX and 4 postscript figures

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