经过几十年的发展，一些高阶方法逐渐趋于成熟，对高阶网格生成技术有了更迫切的需求。高阶网格生成技术经20多年的发展，在“后验法”无效单元的去除、检测等方面取得许多进展，已经出现GMSH等开源高阶网格生成程序。但总的来说，目前还没有软件能够自动生成中等复杂或复杂航空模型的高阶网格。实际上低阶网格自动生成同样存在困难，工程设计中80%以上的时间用于划分网格，这是由计算机辅助设计与分析之间的“隔阂”造成的。因此，本项目拟在开源软件Open CASCADE的基础上，从CAD建模过程及CAD内核的建模数据结构等信息出发，一边建模一边自动生成网格，实现建模与网格生成、分析的无缝融合。升阶谱方法对网格畸变不敏感、结点配置灵活，这有利于降低高阶网格生成难度，本项目中的网格表示及模拟分析都将采用升阶谱方法。本项目的研究有助于促进高阶方法优势的发挥与普及、计算机辅助设计与分析的无缝融合及自主知识产权软件的发展。

After the development for several decades, high order methods tend to be mature gradually, and the needs on high order mesh generation technology becomes more pressing. High order mesh generation technology also has a history of more than 20 years. In a posteriori approach, many progresses have been made on the detection and untangling of invalid curvilinear meshes, and so on. Open source high order mesh generation codes like GMSH have appeared. But overall, one can state that currently the automatic generation of higher-order meshes for aerodynamic configurations of medium or higher complexity are not readily available. Actually, the difficulty of automatic mesh generation also exists in low order meshes. More than 80% of the overall analysis time of low order methods is used in mesh generation. This is caused by the “gap” between computer aided design and analyses. Therefore, this work will start from information in CAD modelling processes, modelling date structures, etc. of free software Open CASCADE, to automatically generate meshes in the process of geometric modelling, and accomplish seamless integration of geometric modeling, mesh generation and analyses. The hierarchical finite element method (HFEM) is not sensitive with mesh distortion, and is free in nodal allocation. These properties are helpful in reducing the difficulties in high order mesh generation. Thus, the HFEM will be used to express meshes and do analyses in this project. The research of this project can promote the obtaining of the advantages of high order methods and the wide application of them. The seamless integration of computer aided design and analyses, and the development of independent intellectual property software can also be promoted.