四边形的
多边形网格
拓扑(电路)
网格生成
体积网格
参数曲面
计算机科学
曲面(拓扑)
算法
领域(数学分析)
T顶点
分割
三角测量
参数统计
数学
有限元法
几何学
人工智能
数学分析
工程类
结构工程
组合数学
统计
作者
Haoxuan Zhang,Haisheng Li,Xiaoqun Wu,Nan Li
摘要
ABSTRACT Surface‐structured mesh generation is an important part of the Computational Fluid Dynamics (CFD) preprocessing stage. The traditional method cannot automatically divide the 3D surface topology in complex structures. Thus, we propose a surface‐structured quadrilateral mesh generation method based on topology‐consistent‐preserved patch segmentation. The core idea is to segment the complex 3D model into several simple parts according to mesh quality and map each part to the 2D parametric domain based on the conformal parameterization method. Then, we utilize pattern‐based topology partitioning to divide the parametric domain into multiple quadrilateral subdomains, facilitating the generation of 2D structured quadrilateral meshes. By using the inverse mapping algorithm based on barycentric weights, the generated 2D structured mesh is inversely mapped back to the 3D space. Finally, we splice each part accurately according to the structured mesh distribution. Experimental results show that our proposed method can generate higher‐quality structured quadrilateral meshes than previous methods without losing the mesh topology of the original model.
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