caa a22 4500 477077439 CHVBK 20180405111442.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00118824 doi (NATIONALLICENCE)springer-10.1007/BF00118824 Pozrikidis C. Department of Applied Mechanics and Engineering Sciences, University of California at San Diego, 92093, La Jolla, California, U.S.A. aut Computation of periodic Green's functions of Stokes flow [Elektronische Daten] [C. Pozrikidis] Methods of computing periodic Green's functions of Stokes flow representing the flow due to triply-, doubly-, and singly-periodic arrays of three-dimensional or two-dimensional point forces are reviewed, developed, and discussed with emphasis on efficient numerical computation. The standard representation in terms of Fourier series requires a prohibitive computational effort for use with singularity and boundary-integral-equation methods; alternative representations based on variations of Ewald's summation method involving various types of splitting between physical and Fourier space with partial sums that decay in a Gaussian or exponential manner, allow for efficient numerical computation. The physical changes undergone by the flow in deriving singly- and doubly-periodic Green's functions from their triply-periodic counterparts are considered. Kluwer Academic Publishers, 1996 Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 79-96 0022-0833 30:1-2<79 1996 30 10665 https://doi.org/10.1007/BF00118824 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00118824 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Pozrikidis C. Department of Applied Mechanics and Engineering Sciences, University of California at San Diego, 92093, La Jolla, California, U.S.A aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 79-96 0022-0833 30:1-2<79 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer