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

Te Sheng Lin, Wei Fan Hu*, Chaouqi Misbah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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 Péclet numbers, whereas the particle motion becomes chaotic in high Péclet 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.

Original languageEnglish
Article number109362
JournalJournal of Computational Physics
Volume409
DOIs
StatePublished - 15 May 2020

Keywords

  • Diffusiophoresis
  • Fast Poisson solver
  • Microswimmer
  • Spherical harmonics expansion

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