摘要:
本文基于MeshTV界面重构算法,发展了二元合金凝固自由枝晶生长的元胞自动机(cellular automaton,CA)模型.通过采用MeshTV界面重构算法,在细化的界面元胞内重构出了固液界面的位置.在此基础上,发展了一种同时适合描述纯物质与合金凝固界面生长的动力学模型.与非界面重构的CA模型相比,本文所发展的模型可以在较大的网格尺寸下实现模型的收敛,同时网格各向异性不明显,且能够反映界面能各向异性参数ε对自由枝晶生长的影响.在ε=0.02时,通过与描述自由枝晶生长的LGK理论模型相比较,发现计算的枝晶尖端速度与LGK理论模型的预测符合较好,而计算的枝晶尖端半径比LGK理论预测值大于约20%.
Abstract:
In this paper, cellular automata (CA) model for free dendritic growth of alloy is presented, in which the interface cell is refined by MeshTV interface reconstruction algorithm. In the present CA model, the growth kinetic for both pure material and alloy is used. The effect of interfacial energy anisotropy parameter e is validated in the CA model. The dendrite tip growth velocity and tip radius are compared with those of the LGK theoretical model, when e = 0.02.