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 …

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 …

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 work, we propose a novel phase-field model for the simulation of two-phase flows that
is accurate, conservative, bounded, and robust. The proposed model conserves the mass of …

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 …

In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field
theory is proposed for simulating axisymmetric multiphase flows. The most striking feature of …

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 work we develop an improved phase-field based lattice Boltzmann (LB) method
where a hybrid Allen-Cahn equation (ACE) with a flexible weight instead of a global weight …

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 …