Phase Field Modeling in Crystal Growth with Nonlinear Kinetic Undercooling
Date Issued
2011
Date
2011
Author(s)
Liu, Shih-Han
Abstract
The phase field model has emerged as a powerful tool for the simulation of crystal growth. With the thin-interface approximation, the interface thickness could be greatly relaxed to the length scale of microstructures. So far, the model is used only for linear kinetics. However, nonlinear kinetics, where the kinetic coefficient is a function of temperature or velocity, is often encountered in crystal growth, particularly for faceted growth. In this paper, we propose numerical methods to the thin-interface phase field model for nonlinear kinetics. Also the kinetic-controlled shapes are discussed with geometric model. Besides the benchmarking with the available solutions, an example on a facet growth that develops into different morphologies with different undercoolings is simulated for the first time.
Subjects
Phase field modeling
solidification
nonlinear kinetics
Type
thesis
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