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26 April 2024 |
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The Raspberry Model for Hydrodynamic Interactions Revisited, Part II: The Effect of Confinement | | Joost de Graaf
; Toni Peter
; Lukas P. Fischer
; Christian Holm
; | | Date: |
9 Mar 2015 | | Abstract: | The so-called ’raspberry’ model refers to the hybrid lattice-Boltzmann (LB)
and Langevin molecular dynamics scheme for simulating the dynamics of
suspensions of colloidal particles, originally developed by [V. Lobaskin and B.
D"unweg, 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 [L. Fischer, et al., XX, xx (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 diffusion constant, as also found in Part I of our joint
publication. We further show that adding internal coupling points to the
raspberry, can be used to correct said discrepancy in this geometry as well.
Finally, we prove that the use of mixed boundary conditions, raspberry and
bounce-back, accurately reproduces hydrodynamic interactions between a
spherical colloid and planar walls up to roughly one LB lattice spacing. | | Source: | arXiv, 1503.2681 | | Services: | Forum | Review | PDF | Favorites | |
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