Integral equation methods for Stokes flow in doubly-periodic domains

Leslie Greengard, Mary Catherine Kropinski

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)157-170
Number of pages14
JournalJournal of Engineering Mathematics
Volume48
Issue number2
DOIs
StatePublished - Feb 2004

Fingerprint

Integral Equation Method
Stokes Flow
Fourier series
Green's function
Integral equations
Fast multipole Method
Method of Images
Costs
Resolve
Integral Equations
Directly proportional
Numerical Examples
Formulation
Arbitrary

Keywords

  • Biharmonic equation
  • Doubly-periodic
  • Fast multiple method
  • Integral equations
  • Stokes flow

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics

Cite this

Integral equation methods for Stokes flow in doubly-periodic domains. / Greengard, Leslie; Kropinski, Mary Catherine.

In: Journal of Engineering Mathematics, Vol. 48, No. 2, 02.2004, p. 157-170.

Research output: Contribution to journalArticle

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