The Raspberry model for hydrodynamic interactions revisited. II. The effect of confinement

Joost de Graaf*, Toni Peter, Lukas P. Fischer, Christian Holm

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The so-called "raspberry" model refers to the hybrid lattice-Boltzmann (LB) and Langevin molecular dynamics schemes for simulating the dynamics of suspensions of colloidal particles, originally developed by Lobaskin and Dunweg [New J. Phys. 6, 54 (2004)], wherein discrete surface points are used to achieve fluid-particle coupling. In this paper, we present a follow up to our study of the effectiveness of the raspberry model in reproducing hydrodynamic interactions in the Stokes regime for spheres arranged in a simple-cubic crystal [Fischer et al., J. Chem. Phys. 143, 084107 (2015)]. Here, we consider the accuracy with which the raspberry model is able to reproduce such interactions for particles confined between two parallel plates. To this end, we compare our LB simulation results to established theoretical expressions and finite-element calculations. We show that there is a discrepancy between the translational and rotational mobilities when only surface coupling points are used, as also found in Part I of our joint publication. We demonstrate that adding internal coupling points to the raspberry can be used to correct said discrepancy in confining geometries as well. Finally, we show that the raspberry model accurately reproduces hydrodynamic interactions between a spherical colloid and planar walls up to roughly one LB lattice spacing. (C) 2015 AIP Publishing LLC.

Original languageEnglish
Article number084108
Number of pages11
JournalThe Journal of Chemical Physics
Volume143
Issue number8
DOIs
Publication statusPublished - 28 Aug 2015

Keywords

  • LATTICE-BOLTZMANN METHOD
  • DISSIPATIVE PARTICLE DYNAMICS
  • COLLOIDAL PARTICLES
  • MOLECULAR-DYNAMICS
  • STOKESIAN DYNAMICS
  • SPHERE PARALLEL
  • BROWNIAN-MOTION
  • VISCOUS FLUIDS
  • 2 DIMENSIONS
  • WALLS

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