基于层推进法的混合网格生成算法研究

对于复杂几何外形的离心泵，在层推进法生成混合三棱柱/四面体网格时，很难生成高质量的贴体三棱柱网格，且层推进法生成三棱柱时可能违背流形的可视化条件，针对这一问题，本文在层推进法的基础上，采用一种新的层推进矢量计算方法生成三棱柱网格，并对影响整体网格质量的棱柱层数及棱柱层之间的比例系数进行研究，同时对生成的网格进行数值模拟，并与已有算法生成的网格的数值计算结果及实验结果进行对比，结果表明，三棱柱层数越少，网格质量越高；比例系数越小，网格质量越高，但比例系数减小会使网格数增加，因此，基于计算精度和计算效率考虑，推荐层数为3，比例系数为1。通过对比不同算法生成的混合网格结果表明，在网格数量基本相同情况下，本文算法质量高于已有算法，且计算精度更高。

Research on methods of generating hybrid grid based on advancing layer method

In general, it’s hard to generate high-quality prismatic grid for centrifugal pump with complex geometrical shape when considering hybrid prismatic/tetrahedral grid. And the primary criterion may be not satisfied for that when marching the new node should be visible from all the faces on the manifold. According to this problem, based on advancing layer method, a new way to calculate marching vectors are used to generate prismatic grid in this paper. And the factor that affect quality of grid like prim layer number and height ratio are studied, the impeller and volute are meshed with the algorithm in this paper and the existing algorithm. The results shows that the quality is higher when the layer number is less; Considering the calculation accuracy and efficiency, the recommended value of prim layer and height ratio is 3 and 1 respectively. And the quality and calculation accuracy of hybrid grid with new way of calculating marching vectors is higher than with traditional way.