Numerical Simulation of Dendritic crystal growth using phase field   method and investigating the effects of different physical parameter on the   growth of the dendrite
  In this journal, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys based on the kobayashi [1] model. Qualitative relationships between shapes of the crystal and physical parameters are studied and visualized. 
Rahul Sanal
math.NA cond-mat.mtrl-sci