We show that a consistent modeling of porous flows needs at least one free collision
relaxation rate to avoid a nonlinear dependency of the numerical errors on the viscosity. This …

This work presents a detailed numerical analysis of one-dimensional, time-dependent
(linear) reaction–diffusion type equations modelled with the lattice Boltzmann method (LBM) …

The application of the lattice Boltzmann method (LBM) in three-dimensional isothermal
hydrodynamic problems often adopts one of the following models: D3Q15, D3Q19, or …

A lattice Boltzmann (LB) model is proposed for simulating fluid flow in porous media by
allowing the aggregates of finer-scale pores and solids to be treated as 'equivalent media' …

This work focuses on the numerical solution of the Stokes-Brinkman equation for a voxel-
type porous-media grid, resolved by one to eight spacings per permeability contrast of 1 to …

The direct flow simulation using high‐resolution micro‐computed tomographic (μ‐CT)
images of porous rock can be used to help understand the flow characteristics at the pore …

Deep saline aquifers are important geological formations for CO2 sequestration. It has been
known that dissolution of CO2 increases brine density, which results in downward density …

We rigorously derive a dramatically simplified kinetic model for fluids with internal degrees of
freedom. With proper discretization in velocity space, the model leads to a lattice Boltzmann …

This work concerns with the clean inclusion of the forcing term in the lattice Boltzmann
method (LBM) for the modeling of non-uniform body forces in steady hydrodynamics. The …

The present contribution focuses on the accuracy of reflection-type boundary conditions in
the Stokes–Brinkman–Darcy modeling of porous flows solved with the lattice Boltzmann …