Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Numerical Conformal Mapping onto the Radial Slit Domains by the Charge Simulation Method
Kaname Amano
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1995 Volume 5 Issue 3 Pages 267-280

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Abstract
A radial slit domain is the entire plane with slits along rectilinear lines pointing at the origin. In this paper, we present a simple numerical method for computing conformal maps from domains exterior to closed Jordan curves onto the radial slit domain. The mapping is important in problems of two-dimensional point-source flow with obstacles. The numerical method is based on the charge simulation method, in which conjugate harmonic functions are approximated by a linear combination of complex logarithmic potentials. It is shown that the method works well for some typical domains.
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© 1995 The Japan Society for Industrial and Applied Mathematics
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