基于标架场引导的四边形网格局部优化方法OA

Although existing quadrilateral mesh generation algorithms can generate high-quality quadrilateral meshes,due to insufficient control over singular points,they may lead to a large number of singular points in the mesh,which affects subsequent numerical analysis.To overcome this problem,a local optimization method for quadrilateral meshes guided by frame fields is proposed.Under the premise of keeping the number of discrete boundary segments unchanged,the internal mesh topology is adjusted to reduce the number of singular points.Firstly,the local mesh regions to be optimized are identified according to the singular point density.Then,a high-quality frame field for each region is generated.Using its streamline information,edge pairs are matched through dynamic programming,and the ideal connection paths between edge pairs are determined by combining graph search algorithms.Finally,the mesh topology of the concerned region is optimized through chord adjustment operations.Experimental results show that the proposed method effectively reduces singularities and improves overall mesh quality,confirming its practical effectiveness.