Comparison of evolving interfaces, triple points, and quadruple points for discrete and diffuse interface methods
Comparison of evolving interfaces, triple points, and quadruple points for discrete and diffuse interface methods
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离散和扩散界面方法的演化界面、三点和四点比较
DOI：
10.1016/j.commatsci.2022.111632
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发表时间：
2022
影响因子：
3.3
通讯作者：
Mason, Jeremy
中科院分区：
文献类型：
--
作者：
Eren, Erdem;Runnels, Brandon;Mason, Jeremy
从流体中的空化到固体中的再结晶，界面的演化是许多物理过程所固有的。界面运动的计算建模带来了许多挑战，其中许多挑战与仿真过程中可能发生的拓扑转换范围有关。由于晶界特性的极端多样性、非均质性和各向异性，涉及晶界运动的多晶材料的微观结构演变是一个特别复杂的例子。然而，准确地模拟这一过程对于确定多晶材料的加工-结构-性能关系至关重要。这类材料的微观结构演变模拟通常使用扩散界面方法，如相场方法，这种方法具有通用性和易于处理复杂几何形状的优势，但由于需要高界面分辨率，其成本可能过高。离散接口方法需要更少的网格点，因此可以表现出更好的性能，但受到的关注相对较少，这可能是由于在晶界网络上维护网格和一致地实现拓扑转换的困难。这项工作明确地比较了最近发展的离散界面方法与多相场方法在几个与多晶材料微观结构演变有关的经典问题上的差异：收缩的球形晶粒、稳态三结二面角和稳态四点二面角。在每一种情况下，离散方法在精度方面都达到或优于多相场方法，证明了其作为多晶材料微观结构演变的数值方法的潜在功效。
The evolution of interfaces is intrinsic to many physical processes ranging from cavitation in fluids to recrystallization in solids. Computational modeling of interface motion entails a number of challenges, many of which are related to the range of topological transitions that can occur over the course of the simulation. Microstructure evolution in a polycrystalline material that involves grain boundary motion is a particularly complex example due to the extreme variety, heterogeneity, and anisotropy of grain boundary properties. Accurately modeling this process is essential to determining processing-structure–property relationships in polycrystalline materials though. Simulations of microstructure evolution in such materials often use diffuse interface methods like the phase field method that are advantageous for their versatility and ease of handling complex geometries but can be prohibitively expensive due to the need for high interface resolution. Discrete interface methods require fewer grid points and can consequently exhibit better performance but have received comparatively little attention, perhaps due to the difficulties of maintaining the mesh and consistently implementing topological transitions on the grain boundary network. This work explicitly compares a recently-developed discrete interface method to a multiphase field method on several classical problems relating to microstructure evolution in polycrystalline materials: a shrinking spherical grain, the steady-state triple junction dihedral angle, and the steady-state quadruple point dihedral angle. In each case, the discrete method is found to meet or outperform the multiphase field method with respect to accuracy for comparable levels of refinement, demonstrating its potential efficacy as a numerical approach for microstructure evolution in polycrystalline materials.
两种晶粒生长相场模型的比较研究
DOI：
--
发表时间：
2009
期刊：
影响因子：
--
作者：
N. Moelans;F. Wendler;B. Nestler
通讯作者：
B. Nestler
影响因子：
15.6
作者：
Drenckhan, Wiebke;Hutzler, Stefan
通讯作者：
Hutzler, Stefan