考虑几何结构信息的结构化网格几何优化

发布时间：2018-05-28 05:21

本文选题：标架场 + 几何结构　；参考：《浙江大学》2017年硕士论文

【摘要】：使用有限元法对设计出的产品进行性能分析和验证,需要将产品的几何模型离散成由特定单元组成的网格模型,并且有限元网格的质量直接决定了有限元分析的精度和效率。因此,在完成对有限元网格的生成或编辑后,需要通过几何优化提高网格质量,从而使其满足有限元分析的要求。现有的网格几何优化方法虽然总体上能够较大地提高网格质量,但往往难以达到理想的效果。为了进一步提高结构化网格几何优化的效果,本文研究考虑几何结构信息的结构化网格几何优化算法。论文的主要工作包括以下几个方面:(1)提出考虑几何面结构信息的四边形网格几何优化方法。首先基于二维交叉场确定几何面上的关键结构点和关键结构线,然后确定四边形网格中需要接受关键结构信息约束的网格点,最后通过将网格质量度量和结构信息相结合建立优化目标函数并求解,实现对四边形网格的几何优化。(2)提出考虑几何体结构信息的六面体网格几何优化方法。首先基于三维标架场确定几何体上的关键结构边和关键结构面,然后确定六面体网格中需要接受关键结构信息约束的网格点,最后通过将网格质量度量和结构信息相结合建立优化目标函数并求解,实现对六面体网格的几何优化。(3)开发结构化网格几何优化平台,包括几何优化、质量评估、网格元素检索三项功能。并使用该平台对本文提出的几何优化算法进行验证。实验结果表明,本文提出的考虑几何结构信息的结构化网格几何优化算法,能够更好地提高复杂结构化网格的质量。
[Abstract]:The finite element method is used to analyze and verify the performance of the designed product. It is necessary to discretize the geometric model of the product into a mesh model composed of specific elements, and the quality of the finite element mesh directly determines the accuracy and efficiency of the finite element analysis. Therefore, after the generation or editing of finite element mesh, it is necessary to improve the mesh quality through geometric optimization, so that it can meet the requirements of finite element analysis. Although the existing methods of mesh geometry optimization can improve the mesh quality greatly, it is difficult to achieve ideal results. In order to further improve the effect of structural mesh geometric optimization, this paper studies the geometric optimization algorithm of structured grid considering geometric structure information. The main work of this paper includes the following aspects: 1) A quadrilateral mesh geometric optimization method considering geometric surface structure information is proposed. The key structural points and key structural lines on the geometric surface are determined based on the two-dimensional crossover field, and then the grid points in the quadrilateral meshes that need to be constrained by the key structural information are determined. Finally, by combining mesh quality measurement with structural information, an optimization method for hexahedron mesh is proposed to solve the problem of geometric optimization of quadrilateral meshes. The key structural edges and key structural surfaces on the geometry are determined based on the three-dimensional frame field, and then the mesh points in the hexahedron mesh that need to be constrained by the key structural information are determined. Finally, by combining mesh quality measurement with structural information, the optimization objective function is established and solved to realize geometric optimization of hexahedron mesh. Grid elements retrieve three functions. This platform is used to verify the geometric optimization algorithm proposed in this paper. The experimental results show that the geometric optimization algorithm based on the geometric structure information proposed in this paper can improve the quality of complex structured meshes better.
【学位授予单位】：浙江大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP391.7;TB115

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