Numerical study of a morphology diagram in the large undercooling limit using a phase-field model

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).