A direct Poisson solver in spherical geometry with an application to diffusiophoretic problems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Computational Physics Année : 2020

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

Résumé

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.
Fichier principal
Vignette du fichier
Hu_Poisson_JCP_rev1.pdf (1.85 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03083603 , version 1 (19-12-2020)

Identifiants

Citer

Te-Sheng Lin, Wei-Fan Hu, Chaouqi Misbah. A direct Poisson solver in spherical geometry with an application to diffusiophoretic problems. Journal of Computational Physics, 2020, 409, pp.109362. ⟨10.1016/j.jcp.2020.109362⟩. ⟨hal-03083603⟩
69 Consultations
354 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More