多边形网格
稳健性(进化)
德劳内三角测量
多面体
四面体
计算机科学
算法
拓扑(电路)
数学优化
计算科学
数学
几何学
计算机图形学(图像)
组合数学
基因
生物化学
化学
作者
Shaojing Li,Chuanming Ju,JianFei Liu
标识
DOI:10.1108/ec-03-2025-0192
摘要
Purpose This paper aims to develop a novel scheme for automatically generating high-quality tetrahedral meshes for electromagnetic simulations on complex industrial products, even in the presence of geometric defects. Design/methodology/approach This paper substantially revises and improves three techniques namely cut-and-fix, sphere-packing and small polyhedron reconnection (SPR) and integrates them into a novel scheme. The scheme involves three key steps: first, repairing models with geometric defects using an enhanced cut-and-fix technique; second, applying sphere-packing to place nodes that capture the feature sizes of the model and finally, performing a standard Delaunay triangulation of these nodes, followed by boundary recovery and mesh quality improvement using SPR. Findings The revised cut-and-fix method focuses on surface smoothness and effectively avoids the rough surfaces generated during the global tetrahedron optimization process. The revised sphere-packing method has the ability for meshing size adaptation and is suitable for electromagnetic simulations. It also helps to integrate cut-and-fix, sphere-packing and SPR skillfully into a novel meshing scheme. Originality/value Numerical examples demonstrate the effectiveness and robustness of the proposed method for meshing various types of electromagnetic simulation models, highlighting its excellent performance.
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