In this paper, we present a brief overview of the phase-field-based lattice Boltzmann method
(LBM) that is a distinct and efficient numerical algorithm for multiphase flow problems. We …

Progress in recent years has opened the door for yet another area of application for the
lattice Boltzmann method: Combustion simulations. Combustion is known to be a challenge …

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 …

Based on phase-field theory, we introduce a robust lattice-Boltzmann equation for modeling
immiscible multiphase flows at large density and viscosity contrasts. Our approach is built by …

We introduce a simple and efficient lattice Boltzmann method for immiscible multiphase
flows, capable of handling large density and viscosity contrasts. The model is based on a …

The computational fluid dynamics method based on the lattice Boltzmann method (LBM),
was used to simulate the downwash flow field of a quad-rotor drone. The downwash flow …

In this paper, we develop a numerical model for simulating the solid-liquid-gas three-phase
flow in unconsolidated particle layers. Based on the discrete element method (DEM) and the …

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 …

In this study, we developed a hybrid immersed interface and phase-field lattice Boltzmann
(LB) method to simulate multiphase ferrofluid flows. The Laplace equation for the magnetic …

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 …