Numerical Simulation of Three-Dimensional Dendritic Growth
Alain Karma, Wouter-Jan Rappel
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 σ* 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.
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