Numerical Simulation of Dendrite Evolution with Cellular Automaton Method

Li Qiang

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Numerical Simulation of Dendrite Evolution with Cellular Automaton Method
Issue 12, Pages: 724-726(2005)
Published： 2005 ，
DOI：

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[1]李强.元胞自动机方法模拟枝晶演变过程的分析与研究[J].特种铸造及有色合金,2005(12):724-726+702.

Li Qiang. Numerical Simulation of Dendrite Evolution with Cellular Automaton Method. [J]. Special Casting & Nonferrous Alloys (12):724-726(2005)
[1]李强.元胞自动机方法模拟枝晶演变过程的分析与研究[J].特种铸造及有色合金,2005(12):724-726+702. DOI：

Li Qiang. Numerical Simulation of Dendrite Evolution with Cellular Automaton Method. [J]. Special Casting & Nonferrous Alloys (12):724-726(2005) DOI：

摘要

利用传统的元胞自动机方法摸拟了基于溶质扩散控制界面生长机制的枝晶演变和显微偏析。模拟结果显示这种方法可以显示出枝晶形貌和显微偏析

同时可以再现凝固过程中的再辉现象。在模拟的过程中发现模拟的枝晶尖端半径与理论计算的枝晶尖端半径符合较好

但模拟结果也显示出一些波动

通过分析发现导致波动的原因是元胞自动机方法的规则将连续的枝晶生长模型割裂成离散跳跃的生长方式

因此不可避免地产生模拟结果波动。

Abstract

The dendrite evolution and micro-segregation based on mechanism of solute diffusion controlling interfacial growth is simulated by cellular automaton.The simulated results show that using the method can not only reveal dendrite morphology and micro-segregation but also represent the recalescence phenomenon.It is found that although the simulated dendrite tip radius is well in agreement with the theoretical radius

there are some fluctuations.Through analyzing the simulated results

it is the rules of cellular automaton discreting the continuous process of dendrite into a discrete growth process

resulting in the appearing wave in simulated results.