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 …

We present a review of the evolutionary advancement of the lattice Boltzmann methods
(LBM) and current status of their applications in dealing with diverse flow problems such as …

We propose, analyze, and validate a lattice Boltzmann model with a cumulant collision
operator. The new model is analytically and numerically shown to poses smaller errors than …

In this paper, we first present a unified framework of multiple-relaxation-time lattice
Boltzmann (MRT-LB) method for the Navier-Stokes and nonlinear convection-diffusion …

This review summarizes the rigorous mathematical theory behind the lattice Boltzmann
equation (LBE). Relevant properties of the Boltzmann equation and a derivation of the LBE …

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 cumulant lattice Boltzmann method offers a set off free relaxation parameters that do not
influence the result at leading order but can be used to influence the leading error. Using …

The lattice Boltzmann space/time discretisation, as usually derived from integration along
characteristics, is shown to correspond to a Strang splitting between decoupled streaming …

In a recent work [A. De Rosis, R. Huang, and C. Coreixas,“Universal formulation of central-
moments-based lattice Boltzmann method with external forcing for the simulation of …

With the rapid development of studies involving droplet microfluidics, drug delivery, cell
detection, and microparticle synthesis, among others, many scientists have invested …