Numerical study of a morphology diagram in the large undercooling limit using a phase-field model
- 1 August 1994
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 50 (2) , 1005-1008
- https://doi.org/10.1103/physreve.50.1005
Abstract
We present a numerical study of asymptotic late-stage growth in a phase-field model. After a long transient time the patterns are independent of initial conditions, and have a well-defined shape-preserving envelope which propagates at constant velocity. To distinguish between implicit and explicit anisotropies, a model with explicit fourfold anisotropy is solved on a triangular lattice. Distinct morphologies are observed, characterized by the envelope shape and by their constituent growth elements (dendrites, parity-broken dendrites, or tip-splitting fingers).Keywords
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