Accurate projection methods for the incompressible Navier—Stokes equations
Journal of Computational Physics
Lattice Boltzmann method for moving boundaries
Journal of Computational Physics
Journal of Computational Physics
A second-order method for three-dimensional particle simulation
Journal of Computational Physics
Computers & Mathematics with Applications
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The microscale flow in soil porous media determines the transport of colloids contained in groundwater. In this paper, two completely different computational approaches, namely a mesoscopic lattice Boltzmann approach and a Navier-Stokes based hybrid approach, are applied to simulate pore-scale viscous flows. The porous medium is represented by a channel partially filled with circular (in 2D) or spherical (in 3D) particles. We demonstrate that the two approaches produce almost identical pore-scale flow field, providing a rigorous cross-validation for each approach. A Lagrangian particle-tracking approach is then used to study the transport of colloids in these flows. Due to the competing effects of hydrodynamic forces and electro-chemical interactions, it is shown that enhanced removal of colloids from the fluid by solid surfaces occurs when the residence time of colloids in a given flow passage is increased, in qualitative agreement with pore-scale visualisation experiments using confocal microscopy.