论文标题
不同策略的基准测试以在曲率驱动的多相模型中包括各向异性
Benchmarking of different strategies to include anisotropy in a curvature-driven multi-phase-field model
论文作者
论文摘要
开发并引入了两个基准问题，用于定量评估各向异性曲率驱动力。这两个基准都包含均匀基质中的各向异性颗粒。第一个基准是wulff形状的收缩，在第二个基准中，添加了动力学系数的倾斜度依赖性，因此收缩是各向同性的。在这两种情况下，通过Hausdorff距离量化了与预期形状的匹配，并分析了收缩率。比较了在多相场模型中融合界面能量各向异性的三种不同方式。由于它们的性能是可比的，因此在其他基准问题中进行了测试，该问题涉及直接测量平衡三连接角。基于此基准，包括各向异性的三种策略中只有一种在强烈的各向异性系统中可靠。
Two benchmark problems for quantitative assessment of anisotropic curvature driving force in phase field method were developed and introduced. Both benchmarks contained an anisotropically shrinking grain in homogeneous matrix. The first benchmark was a shrinking Wulff shape and in the second, such inclination dependence of the kinetic coefficient was added so that the shrinkage was isotropic. In both cases the match to the expected shape was quantified by means of Hausdorff distance and the shrinkage rate was analytically expressed. Three different ways of interface energy anisotropy inclusion in a multi-phase field model were compared. Because their performance was comparable, they were tested in an additional benchmark problem, which concerned direct measurement of equilibrium triple junction angles. Based on this benchmark, only one of the three strategies to include anisotropy was reliable in strongly anisotropic systems.
