Stability is one of the main concerns in the lattice Boltzmann method (LBM). The objectives
of this study are to investigate the linear stability of the lattice Boltzmann equation with the …

Stability and hydrodynamic behaviors of different lattice Boltzmann models including the
lattice Boltzmann equation (LBE), the differential lattice Boltzmann equation (DLBE), the …

The stability of the numerical schemes for anisotropic advection-diffusion equations derived
from the lattice Boltzmann equation with the D2Q4 particle velocity model is analyzed …

The present study aims to find the reason for the good numerical stability of the revised
formulations of the simplified and highly stable lattice Boltzmann method (RSHSLBM) at …

In multi-component flow and/or thermal flows, when the diffusion coefficient of the advection–
diffusion equation is relatively small, the relaxation coefficient in the lattice Boltzmann …

The objectives of this study are to investigate the third order accuracy and linear stability of
the lattice Boltzmann method (LBM) with the two-relaxation-time collision operator (LTRT) for …

In this paper, we present a detailed report on a revised form of simplified and highly stable
lattice Boltzmann method (SHSLBM) and its boundary treatment as well as stability analysis …

This unique professional volume is about the recent advances in the lattice Boltzmann
method (LBM). It introduces a new methodology, namely the simplified and highly stable …

In this paper, a multiple-relaxation-time finite-difference lattice Boltzmann method (MRT-
FDLBM) is developed for the nonlinear convection-diffusion equation (NCDE). Through …

In this paper, a general propagation lattice Boltzmann model is proposed for nonlinear
advection-diffusion equations (NADEs), and the Chapman-Enskog analysis shows that the …