应用数学和力学2024，Vol.45Issue(2)：245-252,8.DOI:10.21656/1000-0887.440134
多连通区域到狭缝圆环域的共形映射计算法
Numerical Conformal Mappings From Multiply Connected Regions Onto Annular Domains With Slits
摘要
Abstract
A numerical method was proposed based on the charge simulation method for calculating conformal mappings from the bounded high connectivity regions onto unit annular domains with logarithmic spiral slits.The bi-conjugate residual(BiCR)method was used to solve the constraint equation system acquired with the Dirichlet boundary conditions,obtain the simulated charge,and further construct a high-precision approximate conformal mapping function.Numerical examples show the effectiveness of the proposed method applied to simulate flow over the spiral point vortex in the bounded high connectivity domains.关键词
共形映射/模拟电荷法/有界高连通度区域/BiCR法/螺旋点涡Key words
conformal mapping/charge simulation method/bounded high connectivity regions/BiCR method/spiral point vortex分类
数理科学引用本文复制引用
赵鑫,吕毅斌..多连通区域到狭缝圆环域的共形映射计算法[J].应用数学和力学,2024,45(2):245-252,8.基金项目
国家自然科学基金(11461037) （11461037）
云南省基础研究计划(202101BE070001-050) （202101BE070001-050）
