Linking Atomistic Simulations with Phase Field Modeling of Solidification

摘要

The phase field model provides an efficient numerical means to accurately model the complex morphologies observed in dendritric solidification of metals and alloys. In this report we review the basic formulation of the phase field model and demonstrate its relation to the sharp interface description. In dendrite solidification at low undercooling or low supersaturation there exists several disparate length scales and implementation of the phase field technique in this important limit has remained a significant challenge. We shall review several techniques which have been successful in overcoming the length scale problem. Techniques include the thin interface limit, the use of adaptive mesh refinement and the use of random walkers.