多特征几何体的全六面体网格自动生成方法

有限元分析的精度和效率与网格划分的质量有直接关系.目前尚缺乏一种普适性的自动网格划分方法,尤其是对于具有多种几何特征的复杂模型,现有的六面体网格自动划分算法存在不同几何特征间的网格兼容性较差以及孔状特征周围网格质量不高的问题.对此本文提出一种基于映射法的六面体网格自动生成方法,在映射法的基本框架下,将物理空间中的复杂几何体映射为计算空间中的规则几何体,引入边界顶点分类,将复杂几何体边界进行简化,将子域约束进行连接,寻找贯穿边界,以使映射网格在约束特征间兼容；对圆弧特征进行等效转化,降低曲率过大对于网格过渡的影响.实例验证表明,本方法稳定可靠,生成的六面体网格质量较高,能够解决多特征复杂几何体六面体网格自动划分问题.

All hexahedron mesh generation for multi-featured geometry

The accuracy and efficiency of finite element analysis is closely related to mesh quality.Existing hexahedral meshing algorithms suffer from poor meshing compatibility between different geometric constraints and poor meshing quality around hole-shaped features,especially for complex model with varieties of geometric features.In this paper,a novel approach to hexahedral meshing for multi-featured geometry is proposed based on the mapping algorithm.A complex geometry in physical space is mapped into regular geometry in computational space,which complicated geometry boundary is then simplified by introducing boundary vertex classification rules; sub-domain constraints are connected,and through boundary is searched so that the mapping grids are compatible between a pair of constraint features; the arc features are equivalently transformed to reduce the influence of curvature on grid transitions.Three examples about hexahedral mesh generation are provided to illustrate the efficiency and robustness of the proposed method.