@Article{CiCP-13-3,
author = {},
title = {Validation of Pore-Scale Simulations of Hydrodynamic Dispersion in Random Sphere Packings},
journal = {Communications in Computational Physics},
year = {2013},
volume = {13},
number = {3},
pages = {801--822},
abstract = {<p style="text-align: justify;">We employ the lattice Boltzmann method and random walk particle tracking to simulate the time evolution of hydrodynamic dispersion in bulk, random, monodisperse, hard-sphere packings with bed porosities (interparticle void volume fractions) between the random-close and the random-loose packing limit. Using Jodrey-Tory and Monte Carlo-based algorithms and a systematic variation of the packing protocols we generate a portfolio of packings, whose microstructures differ in their degree of heterogeneity (DoH). Because the DoH quantifies the heterogeneity of the void
space distribution in a packing, the asymptotic longitudinal dispersion coefficient calculated for the packings increases with the packings&#39; DoH. We investigate the influence
of packing length (up to 150 <em>d</em><sub>p</sub>, where <em style="text-align: justify; white-space: normal;">d</em><sub style="text-align: justify; white-space: normal;">p</sub> is the sphere diameter) and grid resolution
(up to 90 nodes per <em style="text-align: justify; white-space: normal;">d</em><sub style="text-align: justify; white-space: normal;">p</sub>) on the simulated hydrodynamic dispersion coefficient, and
demonstrate that the chosen packing dimensions of 10 <em style="text-align: justify; white-space: normal;">d</em><sub style="text-align: justify; white-space: normal;">p</sub>×10 <em style="text-align: justify; white-space: normal;">d</em><sub style="text-align: justify; white-space: normal;">p</sub>×70 <em style="text-align: justify; white-space: normal;">d</em><sub style="text-align: justify; white-space: normal;">p</sub> and the employed grid resolution of 60 nodes per <em style="text-align: justify; white-space: normal;">d</em><sub style="text-align: justify; white-space: normal;">p</sub> are sufficient to observe asymptotic behavior
of the dispersion coefficient and to minimize finite size effects. Asymptotic values of
the dispersion coefficients calculated for the generated packings are compared with
simulated as well as experimental data from the literature and yield good to excellent
agreement.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.361011.260112s},
url = {https://global-sci.com/article/80650/validation-of-pore-scale-simulations-of-hydrodynamic-dispersion-in-random-sphere-packings}
}