Interest in the lattice Boltzmann method has been steadily increasing since it grew out of
lattice gas models in the late 1980s. While both of these methods simulate the flow of liquids …

Over the last decades, several types of collision models have been proposed to extend the
validity domain of the lattice Boltzmann method (LBM), each of them being introduced in its …

The lattice Boltzmann method (LBM) is known to suffer from stability issues when the
collision model relies on the BGK approximation, especially in the zero viscosity limit and for …

The cascaded or central-moments-based lattice Boltzmann method (CM-LBM) is a robust
alternative to the more conventional Bhatnagar-Gross-Krook-LBM for the simulation of high …

We present an alternative three-dimensional lattice Boltzmann collision operator consisting
of a nonorthogonal basis of central moments. Our formulation is characterized by an …

In this paper, a central-moments-based lattice Boltzmann method (CLBM) for incompressible
thermal flows is proposed. In the method, the incompressible Navier-Stokes equations and …

The heat transfer by natural convection of a nanofluid, which is ethylene glycol− A l 2 O 3
has been analyzed in an open cavity numerically using the multiple-relaxation-time-lattice …

This paper proposes a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model for
double-diffusive convection with Dufour and Soret (cross-diffusion) effects. The main …

Aiming at systematically correcting the non-Galilean-invariant thermal diffusivity in the
previous multiple-relaxation-time Boltzmann equation collision model [Shan and Chen, Int …

The cascaded lattice Boltzmann method decomposes the collision stage on a basis of
central moments on which the equilibrium state is assumed equal to that of the continuous …