The lattice Boltzmann method (LBM) has experienced tremendous advances and has been
well accepted as a useful method to simulate various fluid behaviors. For computational …

Flowing matter is all around us, from daily-life vital processes (breathing, blood circulation),
to industrial, environmental, biological, and medical sciences. Complex states of flowing …

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 …

This review summarizes the rigorous mathematical theory behind the lattice Boltzmann
equation (LBE). Relevant properties of the Boltzmann equation and a derivation of the LBE …

Lattice Boltzmann method is used to investigate magnetohydrodynamic flow utilizing Cu–
water nanofluid in a concentric annulus. This investigation was compared with other …

In this review we describe a wide range of numerical methods employed recently to simulate
complex, multi-physical flows of electrically-conducting fluids. Six powerful numerical …

In this study, natural convection in a concentric annulus between a cold outer square and
heated inner circular cylinders in presence of static radial magnetic field is investigated …

A lattice Boltzmann method (LBM) with enhanced stability and accuracy is presented for
various Hermite tensor-based lattice structures. The collision operator relies on a …

Effect of static radial magnetic field on natural convection heat transfer in a horizontal
cylindrical annulus enclosure filled with nanofluid is investigated numerically using the …

The lattice Boltzmann space/time discretisation, as usually derived from integration along
characteristics, is shown to correspond to a Strang splitting between decoupled streaming …