With its roots in kinetic theory and the cellular automaton concept, the lattice-Boltzmann (LB)
equation can be used to obtain continuum flow quantities from simple and local update rules …

The flow in porous media has received a great deal of attention due to its importance and
many unresolved problems in science and engineering such as geophysics, soil science …

Lattice Boltzmann method (LBM) is a relatively new simulation technique for the modeling of
complex fluid systems and has attracted interest from researchers in computational physics …

Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new
and promising methods for the numerical solution of nonlinear partial differential equations …

Cryogenic fluids are used in a myriad of different applications not limited to green fuels,
medical devices, spacecraft, and cryoelectronics. In this review, we elaborate on these …

In this work, we investigate two issues that are important to computational efficiency and
reliability in fluid dynamic applications of the lattice Boltzmann equation (LBE):(1) …

Numerical micropermeametry is performed on three-dimensional porous samples having a
linear size of approximately 3 mm and a resolution of 7.5 μ m. One of the samples is a …

We analyze the intrinsic impact of free-tunable combinations of the relaxation rates
controlling viscosity-independent accuracy of the multiple-relaxation-times (MRT) lattice …

Multi-component multi-phase (MCMP) flows are very common in engineering or industrial
problems, as well as in nature. Because the lattice Boltzmann equation (LBE) model is …

The local and nonlocal Allen-Cahn equations (ACEs) have received increasing attention in
the study of the complicated interfacial problems. In this paper, we conduct a comparison …