A family of positivity-preserving lattice Boltzmann methods (LBMs) is proposed for
compressible flow simulations in the continuum regime. It relies on the efficient collide-and …

A four-way coupling scheme for the direct numerical simulation of particle-laden flows is
developed and analyzed. It employs a multiple-relaxation-time lattice Boltzmann method …

For use with the lattice Boltzmann method, the macroscopic boundary conditions need to be
transformed into their mesoscopic counterparts. Commonly used mesoscopic boundary …

A propagation pattern for the moment representation of the regularized lattice Boltzmann
method (LBM) in three dimensions is presented. Using effectively lossless compression, the …

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 …

In this work, an exact non-equilibrium extrapolation (eNEQ) scheme for velocity and
pressure boundary conditions in the lattice Boltzmann method is proposed. Based on the …

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 …

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 …

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 boundary conditions are crucial for numerical methods. This study aims to contribute to
this growing area of research by exploring boundary conditions for the discrete unified gas …