枝晶生长过程的相场方法模拟研究Simulation of Dendritic Growth with Phase Field Method
张晨辉,杨斌鑫
摘要(Abstract):
采用相场方法对金属枝晶的生长过程进行数值模拟。用凝固相场方程描述过冷条件下枝晶生长的物理过程,同时在相场方程中耦合温度场方程以体现凝固过程中释放的潜热对相变的影响。采用有限差分法进行求解,讨论了松弛时间、方向角、界面宽度、熔点、各向异性、潜热等因素对枝晶的形状和生长的影响。结果表明,随着松弛时间、界面宽度和熔点的逐渐增加,晶体的生长速率也在逐渐增加,并且枝晶越来越发达。
关键词(KeyWords): 枝晶生长;相场模型;有限差分法
基金项目(Foundation): 山西省自然科学基金(2012011019-2);; 太原科技大学博士基金(20112011)
作者(Author): 张晨辉,杨斌鑫
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