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Numerical Conformal Mapping by the Charge Simulation Method and its Application to Potential Flow Analysis

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Proceedings of the Second ISAAC Congress

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 7))

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Abstract

Conformal mappings are familiar in science and engineering. But exact mapping functions are not known except for special domains. Particularly confomal mappings of a domain exterior to closed Jordan curves onto parallel, circular and radial slit domains are well known as a method of two-dimensional potential flow analysis. But no systematic method of computation has been established for these mappings. We here present a simple method of numerical conformal mappings of the multiply-connected domains and apply it to a typical flow problem. We use the charge simulation method for computation, which is known as a rapid solver of potential problems. A pair of conjugate harmonic functions are approximated by a linear combination of complex logarithmic potentials.

Supported by the Grant-in-Aid for Scientific Research of the Ministry of Education, Science, Sports and Culture in Japan (09440081, 10554003), and by the Japan Society for Promotion of Science.

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References

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Authors and Affiliations

  1. Department of Computer Science Faculty of Engineering, Ehime University, Matsuyama, 790-8577, Japan

    Kaname Amano, Dai Okano & Hiromi Shimohira

  2. Department of Computational Science and Engineering Graduate School of Engineering, Nagoya University, Nagoya, 464-8603, Japan

    Masaaki Sugihara

Authors
  1. Kaname Amano
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  2. Dai Okano
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  3. Hiromi Shimohira
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  4. Masaaki Sugihara
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Editor information

Editors and Affiliations

  1. Freie Universität, Berlin, Germany

    Heinrich G. W. Begehr

  2. University of Delaware, Newark, Delaware, USA

    Robert P. Gilbert

  3. Kyushu University, Fukuoka, Japan

    Joji Kajiwara

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© 2000 Kluwer Academic Publishers

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Amano, K., Okano, D., Shimohira, H., Sugihara, M. (2000). Numerical Conformal Mapping by the Charge Simulation Method and its Application to Potential Flow Analysis. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_39

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  • DOI: https://doi.org/10.1007/978-1-4613-0269-8_39

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7970-6

  • Online ISBN: 978-1-4613-0269-8

  • eBook Packages: Springer Book Archive

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