A direct Poisson solver in spherical geometry with an application to diffusiophoretic problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:409

Article

Lin, Te-Sheng¹  Hu, Wei-Fan²  Misbah, Chaouqi³ 

[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 30010, Taiwan

[2] Natl Chung Hsing Univ, Dept Appl Math, Taichung 40227, Taiwan

[3] Univ Grenoble Alpes, CNRS, LIPhy, F-38000 Grenoble, France

关键词: Fast Poisson solver;    Spherical harmonics expansion;    Diffusiophoresis;    Microswimmer;   

DOI  :  10.1016/j.jcp.2020.109362

来源: Elsevier

【 摘 要 】

We propose a simple and efficient class of direct solvers for Poisson equation in finite or infinite domains related to spherical geometry. The solver was developed based on truncated spherical harmonics expansion, where the differential mode equations were solved by second-order finite difference method without handling coordinate singularities. The solver was further extended to study the dynamics of a diffusiophoretic particle suspended in Stokes flow. Numerical experiments suggested that the particle can achieve a self-sustained unidirectional motion at moderate Peclet numbers, whereas the particle motion becomes chaotic in high Peclet number regimes. The statistical analysis illustrates the run-and-tumble-like nature at short times and diffusive nature at long times without any source of noise. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free