Analytical solutions for two-dimensional singly periodic Stokes flow singularity arrays near walls
File(s)
Accepted version
Author(s)
Crowdy, Darren
Luca, Elena
Type
Journal Article
Abstract
New analytical representations of the Stokes flows due to periodic arrays of point singularities in a two-dimensional no-slip channel and in the half-plane
near a no-slip wall are derived. The analysis makes use of a conformal mapping
from a concentric annulus (or a disc) to a rectangle and a complex variable formulation of Stokes flow to derive the solutions. The form of the solutions is amenable to
fast and accurate numerical computation without the need for Ewald summation
or other fast summation techniques.
near a no-slip wall are derived. The analysis makes use of a conformal mapping
from a concentric annulus (or a disc) to a rectangle and a complex variable formulation of Stokes flow to derive the solutions. The form of the solutions is amenable to
fast and accurate numerical computation without the need for Ewald summation
or other fast summation techniques.
Date Issued
2019-12-01
Date Acceptance
2019-10-18
Citation
Journal of Engineering Mathematics, 2019, 119 (1), pp.199-215
ISSN
0022-0833
Publisher
Springer Verlag
Start Page
199
End Page
215
Journal / Book Title
Journal of Engineering Mathematics
Volume
119
Issue
1
Copyright Statement
© Springer Nature B.V. 2019. The final publication is available at Springer via https://link.springer.com/article/10.1007%2Fs10665-019-10025-7
Sponsor
Engineering & Physical Science Research Council (EPSRC)
The Royal Society
Grant Number
EP/K019430/1
WM120037
Subjects
0102 Applied Mathematics
0103 Numerical and Computational Mathematics
0913 Mechanical Engineering
Applied Mathematics
Publication Status
Published
Date Publish Online
2019-11-16