This contribution presents a comprehensive overview of lattice Boltzmann models for non-
ideal fluids, covering both theoretical concepts at both kinetic and macroscopic levels and …

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 …

A double-distribution-function based lattice Boltzmann method (DDF-LBM) is proposed for
the simulation of polyatomic gases in the supersonic regime. The model relies on a …

Diffusion preserves the positivity of concentrations, therefore, multicomponent diffusion
should be nonlinear if there exist non-diagonal terms. The vast variety of nonlinear …

For high-Reynolds number flows, the lattice Boltzmann method suffers from numerical
instabilities that can induce local blowup of the computation. The von Neumann stability …

This paper presents a numerical study of thermosolutal mixed convection in rectangular
enclosure with sliding top lid. The fluid flow is solved by the multiple relaxation time (MRT) …

The artificial compressibility method (ACM) for the incompressible Navier–Stokes equations
is (link-wise) reformulated (referred to as LW-ACM) by a finite set of discrete directions (links) …

Numerical studies of two reactive porous structures are carried out, where fuel conversion is
the main purpose. The flow is two-dimensional simulated by means of the lattice Boltzmann …

The lattice Boltzmann method (LBM) is emerging as a powerful engineering tool for
aeroacoustic computations. However, the LBM has been shown to present accuracy and …

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 …