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

We propose a procedure to implement Dirichlet velocity boundary conditions for complex
shapes that use data from a single node only, in the context of the lattice Boltzmann method …

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 …

We introduce two new approaches, called A-LSOB and N-MR, for boundary and interface-
conjugate conditions on flat or curved surface shapes in the advection-diffusion lattice …

The goal of this work is to advance the characteristics of existing lattice Boltzmann Dirichlet
velocity boundary schemes in terms of the accuracy, locality, stability, and mass …

Slip flows in ducts are important in numerous engineering applications, most notably in
microchannel flows. Compared to the standard no‐slip Dirichlet condition, the case of slip …

The scalar field and the non-equilibrium solutions of the linear advection-diffusion d2Q9
Lattice Boltzmann (LBM) two-relaxation-times (TRT) scheme are constructed analytically …

Purpose The main purpose of this paper was to investigate Lattice Boltzmann (LB) models
for the bulk incompressible flow past immersed bodies and to find the set of boundary …

We revisit force evaluation methodologies on rigid solid particles suspended in a viscous
fluid that is simulated via the lattice Boltzmann method (LBM). We point out the …

In this paper, we study how the fluid flow near the surface of a monocrystalline body is
affected by the surface properties due to atom-surface scattering. We propose a toy model …