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 …

Immiscible fluid displacement in porous media occurs in several natural and industrial
processes. For example, during petroleum extraction from porous rock reservoirs, water is …

A comparison study of three different multi-component Lattice Boltzmann models is carried
out to explore their capability of describing binary immiscible fluid systems. The Shan–Chen …

In the present paper we study the immiscible two-phase flow in porous media using the
lattice Boltzmann model proposed by He et al.[X. He, R. Zhang, S. Chen, GD Doolen, Phys …

The lattice Boltzmann method (LBM) is often advocated as an effective simulation tool for
multi-phase flow in porous media. In this paper, we extended the mainstream Rothman …

This study provides a pore-scale investigation of two-phase flow dynamics during primary
drainage in a realistic heterogeneous rock sample. Using the lattice Boltzmann (LB) method …

We describe the underlying mathematics, validation, and applications of a novel Helmholtz
free-energy—minimizing phase-field model solved within the framework of the lattice …

A new color‐gradient lattice Boltzmann model is developed to simulate spontaneous
imbibition in a porous media micromodel, which needs only two‐dimensional computational …

A lattice Boltzmann high-density-ratio model, which uses diffuse interface theory to describe
the interfacial dynamics and was proposed originally by Lee and Liu (J Comput Phys 229 …

Computation of two-phase flow in porous media with low capillary numbers is challenging
due to slow convergence and the presence of spurious currents at the phase interfaces that …