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 …

Cryogenic fluids are used in a myriad of different applications not limited to green fuels,
medical devices, spacecraft, and cryoelectronics. In this review, we elaborate on these …

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 …

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 …

We introduce a simple and efficient lattice Boltzmann method for immiscible multiphase
flows, capable of handling large density and viscosity contrasts. The model is based on a …

A mass-conserving lattice Boltzmann method (LBM) for multiphase flows is presented in this
paper. The proposed LBM improves a previous model (Lee and Liu, 2010 [21]) in terms of …

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 …

The cumulant lattice Boltzmann method offers a set off free relaxation parameters that do not
influence the result at leading order but can be used to influence the leading error. Using …

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 …