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Numerical Simulation of Three-Dimensional Dendritic Growth

Alain Karma·Wouter-Jan Rappel
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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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Alain Karma, Wouter-Jan Rappel. 1996-07-29. Numerical Simulation of Three-Dimensional Dendritic Growth. https://doi.org/10.1103/physrevlett.77.4050

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