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

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 …

Binary fluid flows in irregular domains are common phenomena in natural and industrial
fields. To describe these physical processes, we herein present a novel fluid flow-coupled …

In this work, we first develop a consistent and conservative mathematical model to study
multiphase electrohydrodynamic (EHD) flows, including the reduction-consistent and …

In this work, a ternary phase-field model for two-phase flows in complex geometries is
proposed. In this model, one of the three components in the classical ternary Cahn–Hilliard …

Directional liquid transport is of importance in some engineering fields, and the problem is
also very complicated since it involves interface moving, deforming, and pinning/depinning …

We consider the fluid-structure interaction of viscoelastic solids and Stokesian multiphase
fluid flows with moving capillary interfaces and investigate the impact of moving contact …

The numerical simulation of diblock copolymers under hydrodynamic action in complex
domains is of great significance in academic research and industrial applications. The …

In this work, we conduct a detailed comparison between two second-order conservative
Allen-Cahn (AC) models [\emph {Model A}: Zheng\emph {et al.}, Phys. Rev. E 101, 0433202 …

In this paper, we develop a macroscopic finite-difference scheme from the mesoscopic
regularized lattice Boltzmann (RLB) method to solve the Navier-Stokes equations (NSEs) …