浙江大学学报（理学版）2026，Vol.53Issue(2)：232-241,10.DOI:10.3785/1008-9497.25104
基于标架场引导的四边形网格局部优化方法
A local optimization method for quadrilateral meshes based on frame fields guidance
摘要
Abstract
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.关键词
四边形网格/标架场/弦操作/网格优化Key words
quadrilateral mesh/frame field/chord operation/mesh optimization分类
信息技术与安全科学引用本文复制引用
范倍清,王瑞,沈淳..基于标架场引导的四边形网格局部优化方法[J].浙江大学学报（理学版）,2026,53(2):232-241,10.基金项目
宁波市自然科学基金项目(2023J113) （2023J113）
国家自然科学基金项目(62202417) （62202417）
浙江省省属高校基本科研业务费(SJLZ2023001). （SJLZ2023001）
