A homogenization approach for the simulation of multi-phase flows in heterogeneous
porous media is presented. It is based on the lattice Boltzmann method and combines the …

The flow characteristics at a pore-scale porous medium has a significant role to the
development of cooling modules. Despite this fact, still there is no adequate knowledge …

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

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 …

Gaseous flows inside microfluidic devices often fall in the slip-flow regime. According to this
theoretical description, the Navier-Stokes model remains applicable in bulk, while at solid …

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 …

Mesoscopic numerical simulations have been carried out to learn about the flow and heat
transfer characteristics of a 2-D permeable triangular cylinder, aligned at two different …

We introduce the steady-state two-relaxation-time (TRT) Lattice Boltzmann method. Owing to
the symmetry argument, the bulk system and the closure equations are all expressed in …

An analytical study is devised for the problem of bimodal porous flow across a periodic array
of permeable cylindrical inclusions. Such a configuration is particularly relevant for porous …