# 代用電荷法による非有界な多重連結領域の統一的な数値等角写像の方法A Systematic Scheme of Numerical Conformal Mappings of Unbounded Multiply-connected Domains by the Charge Simulation Method

## 抄録

The parallel, circular and radial slit domains are the entire planes with parallel rectilinear slits, circular slits concentric to the origin and radial slits pointing at the orgin, respectively. We here present a simple method of numerical conformal mappings of an unbounded multiply-connected domain exterior to closed Jordan curves onto the parallel, circular and radial slit domains. These conformal mappings are familiar in science and engineering, and especially important in problems of two-dimensional potential flows around obstacles with vortices and point-sources or sinks together with a uniform flow. But, no systematic method of computation has been established. We reduce the problems of conformal mapping to the Dirichlet problem with a pair of conjugate harmonic functions and employ the charge simulation method, where the conjugate harmonic functions are approximated by a linear combination of complex logarithmic potentials. The problems are finally reduced to a set of linear equations with a same coefficient matrix. The approximate mapping functions are continuous and analytic using the principal value of logarithmic function, and invariant to the scaling of the coordinate system. The numerical method for simple, accurate approximate mapping functions was a missing link between theory and applications of the conformal mappings.

## 収録刊行物

• 情報処理学会論文誌

情報処理学会論文誌 42(3), 385-395, 2001-03-15

一般社団法人情報処理学会

## 各種コード

• NII論文ID(NAID)
110002725679
• NII書誌ID(NCID)
AN00116647
• 本文言語コード
JPN
• 資料種別
Journal Article
• ISSN
1882-7764
• NDL 記事登録ID
5701771
• NDL 雑誌分類
ZM13(科学技術--科学技術一般--データ処理・計算機)
• NDL 請求記号
Z14-741
• データ提供元
CJP書誌  CJP引用  NDL  NII-ELS  IPSJ

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