三维元胞自动机模型对等轴枝晶生长取向的选择
Orientation selection of equiaxed dendritic growth by three-dimensional cellular automaton model
摘要：
建立了三维自适应网格加密（AMR）元胞自动机（CA）模型，用于模拟纯物质等轴枝晶生长。为了减少CA捕获规则引起的网格各向异性，提出了一种有限邻域固相分数（LNSF）方法。三维CA模型采用两个界面自由能各向异性参数（\epsilon 1，\epsilon 2）展开描述。使用<100><110>不同的\epsilon 1和\epsilon 2=-0.02讨论了在和之间取向选择的枝晶生长。结果表明，本文提出的元胞自动机模型所模拟的形貌符合最小刚度准则的要求。
英文摘要：
A three-dimensional (3-D) adaptive mesh refinement (AMR) cellular automata (CA) model is developed to simulate the equiaxed dendritic growth of pure substance. In order to reduce the mesh induced anisotropy by CA capture rules, a limited neighbor solid fraction (LNSF) method is presented. An expansion description using two interface free energy anisotropy parameters (\epsilon1, \epsilon2) is used in present 3-D CA model. The dendrite growths with the orientation selection between <100> and <110> are discussed using the different \epsilon1 with \epsilon2=-0.02. It is found that the simulated morphologies by present CA model are as expected from the minimum stiffness criterion.
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