This review summarizes the rigorous mathematical theory behind the lattice Boltzmann
equation (LBE). Relevant properties of the Boltzmann equation and a derivation of the LBE …

Over the last decades, several types of collision models have been proposed to extend the
validity domain of the lattice Boltzmann method (LBM), each of them being introduced in its …

Experiments have been conducted measuring the drift velocity (U d) of single Taylor bubbles
rising in stagnant Bingham plastic fluids in an inclined (4°≤ θ≤ 45° from vertical) and fully …

With the aim of efficiently simulating multiphase flows with complex interfaces and extremely
large density ratios, we propose a simplified phase-field lattice Boltzmann method …

This study compares the free-surface lattice Boltzmann method (FSLBM) with the
conservative Allen–Cahn phase-field lattice Boltzmann method (PFLBM) in their ability to …

We implement a phase-field based lattice-Boltzmann (LB) method for numerical simulation
of multiphase flows in heterogeneous porous media at pore scales with wettability effects …

A thermodynamically consistent free energy model for fluid flows comprised of one gas and
two liquid components is presented and implemented using the entropic lattice Boltzmann …

In this paper a generalized conservative phase field-lattice Boltzmann model is proposed for
immiscible incompressible flows with any number of components. In this phase field model …

Based on the recent work by Fakhari et al.(2017b), a three-dimensional phase-field lattice
Boltzmann method was developed to investigate the rise of a Taylor bubble in a duct. 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 …