Computation of periodic Green’s functions of Stokes flow

  • 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.


Fourier Series Base Vector Null Point Stoke Flow Periodic Array 
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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • C. Pozrikidis
    • 1
  1. 1.Department of Applied Mechanics and Engineering SciencesUniversity of California at San DiegoLa JollaUSA

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