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<p>This study presents an enhanced Q-Morph method for generating high-quality quad-dominant hybrid meshes. The proposed approach introduces a bounding box-based method for accurately identifying internal and external boundaries within the background mesh, as well as enriching advancing front types to handle concave geometries. The algorithm uses advanced front propagation to distribute front nodes, and mesh reconstruction techniques are employed for side edge generation. In situations involving intersections or collisions, triangular meshes are incorporated to improve stability. The mesh quality is further refined through topology optimization strategies, including predefined optimization templates, cavity-based optimization, and triangle pairing elimination. Case studies on various complex geometries, such as a piezoelectric patch, a torus, a car hood, and an inner door panel, demonstrate the robustness of the method. Comparisons with commercial software Hypermesh and open-source software Gmsh show that the proposed algorithm effectively reduces the number of triangular meshes and improves mesh quality, making it suitable for complex geometrical applications.</p>

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improved Q-Morph algorithm for quad-dominant hybrid mesh generation with advanced front propagation and topology optimization

  • 期刊论文

  • 发表日期：

    2025年9月4日

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  • Haidong Wang,
  • Siqi Yin,
  • Hanghang Yan,
  • Feiqi Wang,
  • Xianzhong Yu,
  • Senhai Liu,
  • Xiangyang Cui

摘要

This study presents an enhanced Q-Morph method for generating high-quality quad-dominant hybrid meshes. The proposed approach introduces a bounding box-based method for accurately identifying internal and external boundaries within the background mesh, as well as enriching advancing front types to handle concave geometries. The algorithm uses advanced front propagation to distribute front nodes, and mesh reconstruction techniques are employed for side edge generation. In situations involving intersections or collisions, triangular meshes are incorporated to improve stability. The mesh quality is further refined through topology optimization strategies, including predefined optimization templates, cavity-based optimization, and triangle pairing elimination. Case studies on various complex geometries, such as a piezoelectric patch, a torus, a car hood, and an inner door panel, demonstrate the robustness of the method. Comparisons with commercial software Hypermesh and open-source software Gmsh show that the proposed algorithm effectively reduces the number of triangular meshes and improves mesh quality, making it suitable for complex geometrical applications.