High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics
High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics
复制标题
DOI：
10.4208/cicp.oa-2019-0006
复制
发表时间：
2019-06
影响因子：
3.7
通讯作者：
J. M. Church;Zhenlin Guo;P. Jimack;A. Madzvamuse;K. Promislow;B. Wetton;Stephen M Wise;F. Yang
中科院分区：
文献类型：
--
作者：
J. M. Church;Zhenlin Guo;P. Jimack;A. Madzvamuse;K. Promislow;B. Wetton;Stephen M Wise;F. Yang
有大量的文献相场模型的数值方法从材料科学。原型模型是Allen-Cahn和Cahn-Hilliard方程。我们提出了这些方程的四个基准问题，使用不同的空间和时间离散化的几种计算方法验证数值结果。我们的目标是为科学界提供一个可靠的参考点，以评估这类重要问题的未来软件的准确性和可靠性。
There is a large literature of numerical methods for phase field models from materials science. The prototype models are the Allen-Cahn and Cahn-Hilliard equations. We present four benchmark problems for these equations, with numerical results validated using several computational methods with different spatial and temporal discretizations. Our goal is to provide the scientific community with a reliable reference point for assessing the accuracy and reliability of future software for this important class of problem.