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基于扫掠体分解的六面体为主网格生成方法

Hex-Dominant Mesh Generation Method Based on Swept Volume Decomposition

  • 摘要: 在三维有限元分析中, 六面体网格因其分析精度高、收敛速度快等优势, 被认为是理想的有限元体网格. 针对目前复杂三维模型六面体网格自动生成困难的问题, 提出一种基于扫掠体分解的六面体为主网格生成方法. 首先生成模型的高质量标架场, 支持扫掠体识别与扫掠网格生成; 然后基于标架场的奇异线与流线迭代识别潜在扫掠子块, 构建符合扫掠方向的切割面; 最后基于标架场生成扫掠子块的高质量扫掠网格, 采用合并法对剩余非扫掠子块生成拓扑兼容的混合网格. 对6个几何模型的实验结果表明, 所提方法能高效地识别模型中扫掠方向变化较大或存在严重相交关系的扫掠体, 生成的六面体为主网格在单元缩放雅可比值和生成效率等方面具有明显优势.

     

    Abstract: In 3D finite element analysis, hexahedral meshes are considered ideal volumetric meshes due to their advantages in terms of analysis accuracy and convergence efficiency. However, the automatic generation of hexahedral meshes for complex models remains a challenging task. To address this issue, a hex-dominant mesh generation method based on swept volume decomposition is proposed. First, a high-quality frame field is generated to guide the identification of swept volumes and the generation of swept meshes. Then, potential swept sub-volumes are iteratively identified based on the singular lines and streamlines of the frame field, followed by the construction of cutting surfaces aligned with the sweeping directions. Finally, high-quality swept meshes for the swept sub-volumes are generated based on the frame field, and a topologically compatible hex-dominant mesh is generated for the remaining non-swept sub-volumes using the merging method. The experimental results of six geometric models demonstrate that the proposed method can efficiently identify swept volumes with significant directional variations or severe intersections within the model, and the generated hex-dominant meshes exhibit superior performance in terms of scaled Jacobian values and generation efficiency.

     

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