In this paper, three-dimensional (3D) multi-relaxation time (MRT) lattice-Boltzmann (LB)
models for multiphase flow are presented. In contrast to the Bhatnagar–Gross–Krook (BGK) …

The lattice-Boltzmann method has shown promise in simulating multiphase flows. However,
when using the Bhatnagar-Gross-Krook (BGK) collision operator and polynomial equilibria …

We present a lattice Boltzmann method (LBM) with a weighted multiple-relaxation-time
(WMRT) collision model and an adaptive mesh refinement (AMR) algorithm for direct …

The application of the lattice Boltzmann method in two-phase flows is often restricted by the
numerical instability at low viscosities. In this work, a multirelaxation-time (MRT) lattice …

In this paper, we develop a three-dimensional multiple-relaxation-time lattice Boltzmann
method (MRT-LBM) based on a set of non-orthogonal basis vectors. Compared with the …

In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field
theory is proposed for simulating axisymmetric multiphase flows. The most striking feature of …

An entropic multiple-relaxation-time lattice Boltzmann approach is coupled to a multirange
Shan-Chen pseudopotential model to study the two-phase flow. Compared with previous …

In this work, a third-order Chapman–Enskog analysis of the multiple-relaxation-time (MRT)
pseudopotential lattice Boltzmann (LB) model for multiphase flow is performed for the first …

To improve the stability of the lattice Boltzmann method (LBM) at high Reynolds number the
cascaded LBM has recently been introduced. As in the multiple relaxation time (MRT) …

In this paper, a phase-field-based multiple-relaxation-time lattice Boltzmann (LB) model is
proposed for incompressible multiphase flow systems. In this model, one distribution …