Modeling motion and growth of multiple dendrites during solidification based on vector-valued phase field and two-phase flow models
Jian-kun Rena,b, Yun Chenc, Yan-fei Caoc, Ming-yue Suna,c,*(), Bin Xua,c, Dian-zhong Lic

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Fig. 2.. Evolution of F due to dendritic growth in a time step dt. Dot line: advancing F by equation without splitting (Eq. (22)); solid line: advancing F by “split equation 1” (Eq. (23)) and “split equation 2” (Eq. (24)); F*: intermediate solution.