纯物质枝晶凝固的元胞自动机模型  

A cellular automaton model for dendrite solidification of pure substance

作　　者：单博炜[1] 林鑫[1] 魏雷[1] 黄卫东[1] 

机构地区：[1]西北工业大学凝固技术国家重点实验室,西安710072

出　　处：《物理学报》2009年第2期1132-1138,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:50471065;50771083);新世纪优秀人才支持计划(批准号:NCET-06-0879)资助的课题~~

摘　　要：采用元胞自动机模型模拟了纯物质凝固微观组织演化行为.与以往采用KGT模型简化考虑不同,采用界面能量守恒方程来自洽地确定液固界面的生长动力学,考察了模型的网格尺寸相关性和时间相关性,并对模型的稳定性进行了验证.采用这个模型模拟了纯丁二腈在过冷熔体中的自由枝晶生长,并与Glicksman的等温枝晶生长实验(isothermal dendritic growth experiment,IDGE)和LM-K临界稳定性原理进行了对比.模拟的形貌再现了实验形貌的特征,并且特征参数与理论结果及实验结果符合得很好.A cellular automaton （CA） model was developed to describe microstructural evolution of pure substance. A self-consistent interface energy conservation was used to determine the growth velocity of solid-liquid interface instead of the KGT model as is commonly used in previous CA models. The mesh and time dependency of the morphological evolution was also investigated, and the stability of the model was validated. The free dentritic growth of pure succinonitrile in the undercooled melt was simulated by the present model. The results were compared with Glicksman＇s isothermal dendtitic growth experiment and LMK marginal stability theory. The model reproduced qualitatively most of the dendritic features observed experimentally. The results were in good agreement with theoretical and experimental results.

关 键 词：元胞自动机 界面 凝固 临界稳定性原理 

分 类 号：O481[理学—固体物理]