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Numerical Conformal Mappings of Unbounded Multiply-Connected Domains Using the Charge Simulation Method

Amano, Kaname, and Okano, Dai, and Ogata, Hidenori, and Sugihara, Masaaki, (2003) Numerical Conformal Mappings of Unbounded Multiply-Connected Domains Using the Charge Simulation Method. Bulletin of the Malaysian Mathematical Sciences Society, 26 (1). pp. 35-51. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v26n1/v26n1p4.pdf

Affiliations

Ehime University, Faculty of Engineering, Dept. of Computer Science
Nagoya University, Graduate School of Engineering, Dept. of Computational Science and Engineering

Abstract

We present a numerical method of conformal mappings of unbounded multiply-connected domains exterior to closed Jordan curves onto the three types of canonical domains of Nehari, i.e., the parallel slit domain, the circular slit domain and the radial slit domain. In the method, we express the mapping functions in terms of a pair of conjugate harmonic functions and approximate them, using the charge simulation method, by a linear combination of complex logarithmic functions. The method is simple without integration and suited for domains with curved boundaries. In particular, approximate mapping functions of an unbounded multiply-connected domain onto the three types of slit domains are obtained in a unified way by solving linear equations with a common coefficient matrix. A typical example shows the effectiveness of the method.

Item Type:Journal
Keywords:numerical conformal mapping, multiply-connected domain, charge simulation method, method of fundamental solution, two-dimensional potential flow.
Subjects:Q Science, Computer Science
ID Code:1204

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