Analytical solutions for two-dimensional singly periodic Stokes flow singularity arrays near walls
Complex Variables
2019-04-25 v1 Numerical Analysis
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.
Cite
@article{arxiv.1904.10941,
title = {Analytical solutions for two-dimensional singly periodic Stokes flow singularity arrays near walls},
author = {Darren Crowdy and Elena Luca},
journal= {arXiv preprint arXiv:1904.10941},
year = {2019}
}