Numerical simulation of facet dendrite growth
(1. Department of Applied Physics, Shannxi Key Laboratory of Condensed Matter Structures and Properties,Northwestern Polytechnical University, Xi’an 710072, China;
2. Department of Basic Courses, Xi’an University of Science and Technology, Xi’an 710054, China)
2. Department of Basic Courses, Xi’an University of Science and Technology, Xi’an 710054, China)
Abstract: Numerical simulation based on phase field method was performed to describe the solidification of silicon. The effect of anisotropy, undercooling and coupling parameter on dendrite growth shape was investigated. It is indicated that the entire facet dendrite shapes are obtained by using regularized phase field model. Steady state tip velocity of dendrite drives to a fixed value when γ≤0.13. With further increasing the anisotropy value, steady state tip velocity decreases and the size is smaller. With the increase in the undercooling and coupling parameter, crystal grows from facet to facet dendrite. In addition, with increasing coupling parameter, the facet part of facet dendrite decreases gradually, which is in good agreement with Wulff theory.
Key words: phase field method; facet dendrite; anisotropy; undercooling; tip velocity