MeshAC：用于多尺度耦合方法的3D网格生成与自适应包
MeshAC: A 3D Mesh Generation and Adaptation Package for Multiscale Coupling Methods
AI总结：
本文介绍MeshAC包，专为多尺度耦合方法生成三维自适应网格，通过界面局部重构和基于梯度的后验误差估计实现精度与效率的平衡，有效处理复杂材料缺陷。
摘要：
本文介绍了MeshAC包，该包生成三维自适应网格，专为高效且稳健地实现多尺度耦合方法而定制。虽然Delaunay三角剖分通常用于整个计算域的网格生成，但由于诸如缺陷等内在离散结构的存在，以及在界面处需要将这些结构与连续介质域相匹配，为多尺度耦合方法生成网格更具挑战性。MeshAC包通过生成与细粒度离散结构对齐的网格来应对这些挑战。它还结合了专为界面设计的局部修改和重构操作。这些增强措施提高了实现效率和耦合网格的质量。此外，MeshAC引入了一种新颖的自适应特征，该特征利用基于梯度的后验误差估计，自动调整原子区域和连续介质网格，确保在精度和效率之间达到最佳平衡。该包可直接应用于静力学中a/c耦合的几何优化问题，并有望扩展到许多其他场景。其能力在复杂材料缺陷上得到了验证，包括BCC W中的直刃位错和FCC Cu中的双空位。这些结果表明，MeshAC可以成为计算力学领域研究人员和从业者的宝贵工具。
英文摘要：
This paper introduces the MeshAC package, which generates three-dimensional adaptive meshes tailored for the efficient and robust implementation of multiscale coupling methods. While Delaunay triangulation is commonly used for mesh generation across the entire computational domain, generating meshes for multiscale coupling methods is more challenging due to intrinsic discrete structures such as defects, and the need to match these structures to the continuum domain at the interface. The MeshAC package tackles these challenges by generating meshes that align with fine-level discrete structures. It also incorporates localized modification and reconstruction operations specifically designed for interfaces. These enhancements improve both the implementation efficiency and the quality of the coupled mesh. Furthermore, MeshAC introduces a novel adaptive feature that utilizes gradient-based a posteriori error estimation, which automatically adjusts the atomistic region and continuum mesh, ensuring an optimal balance between accuracy and efficiency. This package can be directly applied to the geometry optimization problems of a/c coupling in static mechanics, with potential extensions to many other scenarios. Its capabilities are demonstrated for complex material defects, including straight edge dislocation in BCC W and double voids in FCC Cu. These results suggest that MeshAC can be a valuable tool for researchers and practitioners in computational mechanics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
