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A spectral boundary element approach to three-dimensional Stokes flow

Published online by Cambridge University Press:  26 April 2006

G. P. Muldowney  and
J. J. L. Higdon
G. P. Muldowney
Affiliation:
Department of Chemical Engineering, University of Illinois, Urbana, IL 61801, USA Present address: Mobil Research and Development Co, Billingsport Rd, Paulsboro, NJ 08066, USA.
J. J. L. Higdon
Affiliation:
Department of Chemical Engineering, University of Illinois, Urbana, IL 61801, USA
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Abstract

A novel method is introduced for solving the three-dimensional Stokes equations via a spectral element approach to the boundary integral method. The accuracy and convergence of the method are illustrated through applications involving rigid particles, deformable droplets and interacting particles. New physical results are obtained for two applications in low Reynolds number flow: the permeability of periodic models of a porous membrane and the instability of a toroidal droplet subject to non-axisymmetric perturbations. Further applications are described in the companion paper (Higdon & Muldowney 1995).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 298 , 10 September 1995 , pp. 167 - 192
Copyright
© 1995 Cambridge University Press

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