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 …

Fuel cells and flow batteries are promising technologies to address climate change and air
pollution problems. An understanding of the complex multiscale and multiphysics transport …

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 …

In this paper, we present a simple and accurate lattice Boltzmann (LB) model for immiscible
two-phase flows, which is able to deal with large density contrasts. This model utilizes two …

In this paper, a comparative study of the lattice Boltzmann (LB) models for the Allen-Cahn
(AC) and Cahn-Hilliard (CH) equations is conducted. To this end, a new LB model for the AC …

The local and nonlocal Allen-Cahn equations (ACEs) have received increasing attention in
the study of the complicated interfacial problems. In this paper, we conduct a comparison …

In this paper, a general propagation lattice Boltzmann model for a variable-coefficient
compound Korteweg-de Vries-Burgers (vc-cKdVB) equation is investigated through …

A modified lattice Boltzmann model for conjugate heat transfer in a system containing
simultaneously a porous medium and other media is proposed. In this model, the volumetric …

In this work, a simplified wetting boundary scheme in the phase-field lattice Boltzmann
model is developed for wetting phenomena on curved boundaries. The proposed scheme …

In this paper, a simple and accurate lattice Boltzmann (LB) model based on phase-field
theory is developed to study the two-phase electro-hydrodynamics flows. In this model, three …