Over the past few decades, tremendous progress has been made in the development of
particle-based discrete simulation methods versus the conventional continuum-based …

Theory and Application of Multiphase Lattice Boltzmann Methods presents a comprehensive
review of all popular multiphase Lattice Boltzmann Methods developed thus far and is aimed …

Over the last two decades, lattice Boltzmann methods have become an increasingly popular
tool to compute the flow in complex geometries such as porous media. In addition to single …

Over the past 30 years, the lattice Boltzmann (LB) method has been developed into a
versatile and powerful numerical methodology for computational fluid dynamics and heat …

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 …

A lattice Boltzmann model with a multiple-relaxation-time (MRT) collision operator for the
convection–diffusion equation is presented. The model uses seven discrete velocities in …

This article presents a three-dimensional numerical framework for the simulation of fluid-fluid
immiscible compounds in complex geometries, based on the multiple-relaxation-time lattice …

A multiphase lattice Boltzmann flux solver (MLBFS) is proposed in this paper for
incompressible multiphase flows with low-and large-density-ratios. In the solver, the flow …

We propose a thermal boundary condition treatment based on the “bounce-back” idea and
interpolation of the distribution functions for both the Dirichlet and Neumann (normal …

Digital rock technology is rapidly evolving interdisciplinary field with many promises,
including fast turnaround times for core analysis, repeatable analysis, and multiphysics …