Over the past 30 years, the lattice Boltzmann (LB) method has been developed into a
versatile and powerful numerical methodology for computational fluid dynamics and heat …

Based on kinetic theory, the lattice Boltzmann method (LBM) is a versatile computational tool
extensively applied to simulate diverse problems. It has particularly advanced in addressing …

A lattice Boltzmann model with a multiple-relaxation-time (MRT) collision operator for the
convection–diffusion equation is presented. The model uses seven discrete velocities in …

A lattice Boltzmann model for convection-diffusion equation with nonlinear convection and
isotropic-diffusion terms is proposed through selecting equilibrium distribution function …

We propose a lattice Boltzmann (LB) model for the convection-diffusion equation (CDE) and
show that the CDE can be recovered correctly from the model by the Chapman-Enskog …

In this paper, three-dimensional (3D) multi-relaxation time (MRT) lattice-Boltzmann (LB)
models for multiphase flow are presented. In contrast to the Bhatnagar–Gross–Krook (BGK) …

In this paper, based on the previous work (Shi and Guo in Phys Rev E 79: 016701, 2009),
we develop a multiple-relaxation-time (MRT) lattice Boltzmann model for general nonlinear …

A two-dimensional double Multiple Relaxation Time-Thermal Lattice Boltzmann Equation (2-
MRT-TLBE) method is developed for predicting convective flows in a square differentially …

In this paper, a two-dimensional (2D) multiple-relaxation-time (MRT) lattice Boltzmann (LB)
model is developed for simulating convection heat transfer in porous media at the …

We present numerical simulations of three-dimensional thermal convective flows in a cubic
cell at high Rayleigh number using thermal lattice Boltzmann (LB) method. The thermal LB …