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 …

Spontaneous imbibition, as a fundamental flow phenomenon, is widely utilized in fossil
energy production, carbon dioxide and underground hydrogen storage. With the …

Turbulent flows laden with large, deformable drops are ubiquitous in nature and in a wide
range of industrial processes. Prediction of the interactions between drops, which deform …

We consider the numerical approximation of the flow‐coupled phase‐field model of two‐
phase incompressible flows using the mass‐conserved Allen‐Cahn equation. Due to the …

In this article, we develop and analyze a novel fully discrete decoupled finite element
method to solve a flow-coupled ternary phase-field model for the system consisting of three …

We consider the numerical approximation of the flow-coupled multi-phase-field elastic
bending energy model of lipid vesicles. Based on the classical model with approximate …

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 …

In the present work, we consider the conservative Allen-Cahn model and applied it to two-
phase flows in a consistent and conservative manner. The consistent formulation is …

In this paper, the effects of temperature-dependent properties on natural convection of
nanofluids in rectangular cavities with sinusoidal temperature distribution are investigated in …

In this paper, an improved lattice Boltzmann model that incorporates the effect of heat
capacity is adopted to simulate the conjugate natural convection in a square enclosure with …