【作者】 郝跃宏；

【导师】 陈文亮；

【作者基本信息】 南京航空航天大学 ， 航空宇航制造工程， 2007， 硕士

【摘要】 随着计算机技术和信息技术的广泛应用和飞速发展,网格生成技术已成功应用于计算力学、流体力学、有限元分析等工程领域,成为解决数值解析与模拟等复杂问题的强有力手段。本文对网格生成的相关技术进行了研究与探讨,内容主要包括:对现有曲面网格划分技术进行了研究比较,主要分析探讨了映射法、Delaunay三角剖分法、铺砌法、四叉树法、波前法和三角合成法等常用算法。将四叉树法、波前法和三角合成法相结合,在映射法的基础上设计并实现了一种新的网格划分方法。该方法首先将裁剪曲面边界离散成多边形,然后使用四叉树法对待划分裁剪参数曲面按细分要求进行递归分解,最终生成规则的栅格点,再利用波前法的原理生成三角形网格,通过三角合成法生成三角形与四边形混合网格。针对网格划分算法的具体实现细节,采用了一些可以增强算法稳定性和可靠性,提高算法效率的措施。在上述技术研究的基础上,将该曲面自动网格划分算法成功应用于板料成形模拟的CAE软件中,该算法具有自适应能力强,网格生成速度快,稳定可靠等优点。更多还原

【Abstract】 With the rapid development of computer technology and information industry, mesh technique is implemented to solve complicated numerical analytics and simulation in engineering fields, such as calculative mechanics, hydrodynamics, and finite element analysis.Correlative mesh is deeply researched in this thesis which mainly emphasizes on:Several techniques about surface meshing are researched including mapping, Delaunay, paving, quadtree, advancing front technique and triangle tranformations.Integrated with present meshing techniques of quadtree, advancing front technique and triangle tranformations, a new mesh generating method is proposed and designed which is based on the mapping method. The boundaries of trimmed surface are firstly discreted into polygons. And then the parametric surfaces are recursively decomposed with the refined requirement by the quadtree method, subsequently get a set of regular points. Then triangular meshes are generated by the principle of advancing front technique. At last hybrid mesh is obtained by merging those appropriate triangular meshes.Focusing on the details of the method, some measures are proposed to strengthen the reliability and steadiness and enhance the efficiency of the algorithm. The discrete optimization of boundary curve and the optimization of polygon clipping are discussedOn the basis of the above research, this surface automatic mesh generation has applied to CAE software successfully which can create high quality element. The method is steady and reliable. The speeding of the meshing is good.更多还原