非结构化非分裂几何流体体积法——综述
Unstructured un-split geometrical Volume-of-Fluid methods -- A review
AI总结:
本综述系统梳理经典与当代几何VoF方法,重点针对非结构化网格和三维计算,比较各方法在精度与计算效率上的表现,并探讨界面定位、法向量估计等关键挑战。
摘要:
几何流体体积(VoF)方法主要支持结构化网格,科学文献中仅有少数贡献报告了非结构化网格和三维空间的结果。非结构化网格传统上用于处理几何复杂的求解域,这在模拟工业相关问题中普遍存在。然而,三维几何操作比二维对应操作复杂得多,这一点通过非结构化网格上三维结果出版物与二维结果或结构化网格支持出版物的比例得到证实。此外,非结构化网格在串行和并行计算效率、精度、实现复杂性和鲁棒性方面带来挑战。正在进行的研究仍然非常活跃,聚焦于不同问题:一般多面体中的界面定位、界面法向量的估计、平流精度以及并行和串行计算效率。本综述试图对经典和当代几何VoF方法给出完整且批判性的概述,简要解释基本思想和子算法,主要聚焦于非结构化网格和三维计算。所综述的方法按历史顺序列出,并在精度和计算效率方面进行比较。
英文摘要:
Geometrical Volume-of-Fluid (VoF) methods mainly support structured meshes, and only a small number of contributions in the scientific literature report results with unstructured meshes and three spatial dimensions. Unstructured meshes are traditionally used for handling geometrically complex solution domains that are prevalent when simulating problems of industrial relevance. However, three-dimensional geometrical operations are significantly more complex than their two-dimensional counterparts, which is confirmed by the ratio of publications with three-dimensional results on unstructured meshes to publications with two-dimensional results or support for structured meshes. Additionally, unstructured meshes present challenges in serial and parallel computational efficiency, accuracy, implementation complexity, and robustness. Ongoing research is still very active, focusing on different issues: interface positioning in general polyhedra, estimation of interface normal vectors, advection accuracy, and parallel and serial computational efficiency. This survey tries to give a complete and critical overview of classical, as well as contemporary geometrical VOF methods with concise explanations of the underlying ideas and sub-algorithms, focusing primarily on unstructured meshes and three dimensional calculations. Reviewed methods are listed in historical order and compared in terms of accuracy and computational efficiency.
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