An r-adaptive finite element method for the solution of the two-dimensional phase-field equations
An r-adaptive finite element method for the solution of the two-dimensional phase-field equations
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发表时间：
2006-10
影响因子：
3.7
通讯作者：
G. Beckett;J. Mackenzie;M. L. Robertson
中科院分区：
文献类型：
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作者：
G. Beckett;J. Mackenzie;M. L. Robertson
提出了一种自适应移动网格方法，用于求解由相场方程模拟的二维相变问题。数值算法相对简单，比固定网格法效率更高。相场方程用Calerkin有限元方法离散。使用自适应准则来确保相前部的网格间距随漫反射界面厚度的变化而变化。
An adaptive moving mesh method is developed for the numerical solution of two-dimensional phase change problems modelled by the phase-field equations. The numerical algorithm is relatively simple and is shown to be more efficient than fixed grid methods. The phase-field equations are discretised by a Calerkin finite element method. An adaptivity criterion is used that ensures that the mesh spacing at the phase front scales with the diffuse interface thickness.