用相场方法模拟镍的枝晶生长

采用相场模型,计算了纯镍的过冷溶液在凝固过程中的枝晶生长。在相场方程中,采用均匀网格的一般显示有限差分方法求解,通过数值模拟显示了枝晶的形貌,包括一次臂、二次臂,以及在枝晶生长过程中出现的“缩颈”现象。

SIMULATION OF Ni DENDRITE GROWTH USING PHASE FIELD METHOD

The phase field method is proposed based on the general Ginzburg-Landau theory of phase transitions. This method reflects these basic ideas in terms of differential equations, where diffusion, ordering potential and thermodynamic diving force are represented by operations of appropriate symmetry. The dendritic morphology of pure melt (Ni) undercooled has been computed during solidification in this paper. The anisotropy of crystal was taken into account . The phase field model equations have been solved using the explicit finite difference method on an uniform mesh. The simulated results show the dendritic crystal growth process, including primary and secondary arms, the competition between the dendritic arms as well as the " necking " during the dendrite growth process.