(上海应用技术学院 环境与能源工程系, 上海200235)
摘 要: 根据运动学的观点， 提出了一种通过追踪计算移动界面的速度获得相变区域, 从而进行多维凝固问题计算的方法。 同时提出了一种将不同时刻计算所得移动界面坐标作为网格节点, 由此产生随时间逐步形成的新的网格生成方法, 避免了针对具有移动界面问题计算而产生的整体网格变动的问题。 借助该新型网格的划分方法， 结合有限元计算, 完成相变区域内温度场的计算。 该方法计算过程较为简便, 计算实例表明， 一些特定位置处的界面位移规律与一维理论解是一致的。
关键字: 多维凝固问题； 界面速度追踪； 数值模拟
（ Department of Environmental and Energy Engineering,
Shanghai Institute of Technology, Shanghai 200235, China）
Abstract: A new approach to multidimensional one-phase solidification problems is presented. In contrast to other methods, special attention is paid to finding the velocity of moving interface so as to obtain phase-change domain. Meanwhile, a special mesh generation technique is used. In proposed method, special procedures, such as iterative process, transformation of governing equation or interpolation are no required, so the numerical method becomes quite simple and is capable of dealing with solidification problems under complicated boundary conditions. By special designed examples, the numerical results show that motion patterns at some special locations are in agreement with the analytical solution.
Key words: multidimensional solidification problem; interface velocity-tracking; numerical simulation
