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Fundamental solution method for two-dimensional Stokes flow problems with one-dimensional periodicity

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Abstract

In this paper, we propose a fundamental solution method for two-dimensional Stokes flow problems with a one-dimensional infinite periodic array of obstacles. In the proposed method, we approximate the solution by a linear combination of periodic fundamental solutions of the Stokes flow equation. In terms of physics, this approximation illustrates Stokes flows due to forces acting on one-dimensional infinite periodic points. Numerical examples are included to demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. The Department of Communication Engineering and Informatics, Graduate School of Informatics and Engineering, The University of Electro-Communications, 1-5-1 Chofu-ga-Oka, Chofu, 182-8585, Japan

    Hidenori Ogata

  2. The Department of Electrical and Electronic Engineering and Computer Science, Graduate School of Science and Engineering, Ehime University, 3 Bunkyo-Cho, Matsuyama, 790-8577, Japan

    Kaname Amano

Authors
  1. Hidenori Ogata
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  2. Kaname Amano
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Correspondence to Hidenori Ogata.

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Ogata, H., Amano, K. Fundamental solution method for two-dimensional Stokes flow problems with one-dimensional periodicity. Japan J. Indust. Appl. Math. 27, 191–215 (2010). https://doi.org/10.1007/s13160-010-0001-1

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  • DOI: https://doi.org/10.1007/s13160-010-0001-1

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