Modeling motion and growth of multiple dendrites during solidification based on vector-valued phase field and two-phase flow models

Jian-kun Ren^a^,^b, Yun Chen^c, Yan-fei Cao^c, Ming-yue Sun^a^,^c^,^*(

), Bin Xu^a^,^c, Dian-zhong Li^c

Fig. 13.. (a) A close-up image of adaptive mesh after zooming to the box in Fig. 12(a); (b) vector-valued phase field F in the box in (a); (c) relationship between F and (?, α).