Integral equation methods for Stokes flow in doubly-periodic domains

A fast integral-equation technique is presented for the calculation of Stokes flow in doubly-periodic domains. While existing integral formulations typically rely on a Fourier series to compute the governing Greens' function, here a method of images is developed which is faster, more flexible,...

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Veröffentlicht in:Journal of engineering mathematics 2004-02, Vol.48 (2), p.157-170
Hauptverfasser: GREENGARD, Leslie, KROPINSKI, Mary Catherine
Format: Artikel
Sprache:eng
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Zusammenfassung:A fast integral-equation technique is presented for the calculation of Stokes flow in doubly-periodic domains. While existing integral formulations typically rely on a Fourier series to compute the governing Greens' function, here a method of images is developed which is faster, more flexible, and easily incorporated into the fast multipole method. Accurate solutions can be obtained with obstacles of arbitrary shape at a cost roughly proportional to the number of points needed to resolve the interface. The performance of the method is illustrated with several numerical examples.
ISSN:0022-0833
1573-2703
DOI:10.1023/b:engi.0000011923.59797.92