@Article{CiCP-8-1,
author = {},
title = {A Lumped Particle Modeling Framework for Simulating Particle Transport in Fluids},
journal = {Communications in Computational Physics},
year = {2010},
volume = {8},
number = {1},
pages = {115--142},
abstract = {<p style="text-align: justify;">This paper presents a lumped particle model for simulating a large number
of particles. The lumped particle model is a flexible framework in modeling particle
flows, embodying fundamental features that are intrinsic in particle laden flow, including
advection, diffusion and dispersion. In this paper, the particles obey a simplified version of the Bassinet-Boussinesq-Oseen equation for a single spherical particle.
However, instead of tracking the individual dynamics of each particle, a weighted spatial
averaging procedure is used where the external forces are applied to a “lump” of
particles, from which an average position and velocity is derived. The temporal evolution
of the particles is computed by partitioning the lumped particle into smaller
entities, which are then transported throughout the physical domain. These smaller
entities recombine into new particle lumps at their target destinations. For particles
prone to the effects of Brownian motion or similar phenomena, a symmetric spreading
of the particles is included as well. Numerical experiments show that the lumped
particle model reproduces the effects of Brownian diffusion and uniform particle transport
by a fluid and gravity. The late time scale diffusive nature of particle motion is
also reproduced.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.030509.141009a},
url = {https://global-sci.com/article/81021/a-lumped-particle-modeling-framework-for-simulating-particle-transport-in-fluids}
}