Nanofluidics research has achieved a significant growth over the past few years. New
phenomena of nanoscaled fluid flows are being reported continuously, such as altered …

Abstract The Rayleigh–Taylor (RT) instability in inertial confinement fusion implosions
evolves at the unstable interface of two fluids when the light fluid is pushing the heavy one …

This study constructs a new diffuse-domain (DD) lattice Boltzmann (LB) method for two-
phase flows in complex geometries. We first coupled the DD method with the consistent and …

Modeling thermal multiphase flows has become a widely sought methodology due to its
scientific relevance and broad industrial applications. Much progress has been achieved …

In this work, we first develop a general mesoscopic multiple-relaxation-time lattice
Boltzmann (MRT-LB) model for the two-dimensional diffusion equation with the constant …

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 …

Latitude on the choice of initialisation is a shared feature between one-step extended state-
space and multi-step methods. The paper focuses on lattice Boltzmann schemes, which can …

A general method for the derivation of equivalent finite difference equations (EFDEs) and
subsequent equivalent partial differential equations (EPDEs) is presented for a general …

In this paper, we first develop a fourth-order multiple-relaxation-time lattice Boltzmann (MRT-
LB) model for the one-dimensional convection-diffusion equation (CDE) with the constant …

Bounce-back schemes represent the most popular boundary treatments in the lattice
Boltzmann method (LBM) when reproducing the no-slip condition at a solid boundary. While …