Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6928855 | Journal of Computational Physics | 2018 | 19 Pages |
Abstract
We present an efficient formulation of the boundary element method (BEM) for calculation of two-dimensional pressure-driven Stokes flow in a doubly-periodic domain. In contrast to similar methods which require a priori knowledge of the mean fluid velocity, this formulation is based on knowledge of the mean pressure gradient only. We present a method of calculating the permeability tensor without the need to specify either mean velocity or pressure gradient. We discuss optimality of the splitting parameter in the doubly-periodic Green's function, with regard to the numerical overhead required for the BEM, and in most cases find a 3-10 fold increase in computational efficiency compared to the splitting parameter used in standard BEM formulations.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Patrick Hassard, Ian Turner, Troy Farrell, Daniel Lester,