3D hybrid mesh generation with an improved vertical stretch algorithm for geometric models with pinch-out features

3D hybrid mesh generation with an improved vertical stretch algorithm for geometric models with pinch-out features
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使用改进的垂直拉伸算法生成 3D 混合网格,适用于具有收缩特征的几何模型

DOI:
10.1007/s10596-020-10026-x
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发表时间:
2021-01
影响因子:
2.5
通讯作者:
Gour-Tsyh Yeh
Gour-Tsyh Yeh
中科院分区:
地球科学3区
文献类型:
--
作者:
Lu Sun;Guoqun Zhao;Gour-Tsyh Yeh

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针对使用四边形棱柱描述尖锐形状的不可行性,提出一种改进的垂直拉伸算法,在三角形转换的四边形网格的基础上生成三维(3D)混合网格,以离散具有尖灭特征的几何模型。开发了一种强大的自动网格生成器,作为模拟金属成型、水流和运输的预处理工具。构建了由尖头六面体、四边形和三棱柱组成的初始混合网格,以有效捕获尖灭区域的锐利特征。建立了五个分割模板,将来自尖灭子域的 3D 元素分割为四面体和三棱柱。定义了分裂点的概念,在此基础上确定各个分裂模板合适的实现方式,从而实现不同类型元素之间公共面和公共边的整合和一致性。建立了两种拓扑优化模板来提高退化三棱柱和四面体的质量。提出了一种新的尖灭边界四边形插入方法,避免了尖六面体的产生,简化了整合处理策略,在一定程度上提高了网格质量。实际应用证实,本文提出的混合网格生成方法可以精确地离散具有尖灭特征的几何模型。网格的一致性和精细化要求也能够得到充分满足。
Aiming at the infeasibility of using quadrilateral-prisms to describe sharp shapes, an improved vertical stretch algorithm was proposed to generate three-dimensional (3D) hybrid meshes based on the quadrilateral mesh converted from triangles to discretize the geometric models with pinch-out features. A robust and automatic mesh generator was developed, which served as a preprocessing tool for simulating metal forming, water flows and transports. An initial mixed mesh composed of cuspate hexahedra, quadrilateral- and triangular-prisms was constructed to capture the sharp features of pinch-out regions effectively. Five splitting templates were established to divide the 3D elements derived from pinch-out sub-domains into tetrahedra and triangular-prisms. The concept of splitting points was defined, based on which the appropriate implementation mode of each splitting template could be determined, so as to achieve the conformity and consistency of common faces and edges between different kinds of elements. Two topological optimization templates were established to improve the quality of degenerated triangular-prisms and tetrahedra. A new pinch-out boundary quadrilateral insertion method was proposed to avoid the generation of cuspate hexahedra, which simplified the conformity treatment strategies and improved the quality of the resulting mesh to a certain extent. Practical applications confirmed that the hybrid mesh generation methods proposed in this paper could discretize the geometric models with pinch-out features precisely. The requirements on mesh conformity and refinement were also able to be fully satisfied.
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