An efficient boundary element formulation for doubly-periodic two-dimensional Stokes flow with pressure boundary conditions

JOURNAL OF COMPUTATIONAL PHYSICS

卷:365

Article

Hassard, Patrick¹  Turner, Ian^1,2  Farrell, Troy^1,2  Lester, Daniel³ 

[1] Queensland Univ Technol, Sch Math Sci, GPO Box 2434, Brisbane, Qld 4001, Australia

[2] Queensland Univ Technol, Ctr Excellence Math & Stat Frontiers ACEMS, Australian Res Council, Brisbane, Qld, Australia

[3] RMIT Univ, Sch Civil Environm & Chem Engn, GPO Box 2476, Melbourne, Vic 3001, Australia

关键词: BEM;    Doubly-periodic domain;    Mean pressure gradient;    Permeability;    Ewald summation;    Splitting parameter;   

DOI  :  10.1016/j.jcp.2017.12.010

来源: Elsevier

【 摘 要 】

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. (C) 2017 Published by Elsevier Inc.

【 授权许可】

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