A weighted multiple-relaxation-time lattice Boltzmann method for multiphase flows and its application to partial coalescence cascades

A Fakhari, D Bolster, LS Luo - Journal of Computational Physics, 2017 - Elsevier
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 …

A mass-conserving lattice Boltzmann method with dynamic grid refinement for immiscible two-phase flows

A Fakhari, M Geier, T Lee - Journal of Computational Physics, 2016 - Elsevier
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 …

A filtered cumulant lattice Boltzmann method for violent two-phase flows

YP Sitompul, T Aoki - Journal of Computational Physics, 2019 - Elsevier
Abstract The Lattice Boltzmann Method (LBM) has been successfully applied to simulate
various two-phase flow problems such as Rayleigh-Taylor instability, rising bubble, and …

A pressure-evolution-based multi-relaxation-time high-density-ratio two-phase lattice-Boltzmann model

S Mukherjee, J Abraham - Computers & fluids, 2007 - Elsevier
Two of the major challenges in extending the application of multiphase lattice-Boltzmann
(LB) models to realistic fluid flow simulations are their numerical instability at high liquid-to …

Hybrid multiple-relaxation-time lattice-Boltzmann finite-difference method for axisymmetric multiphase flows

JJ Huang, H Huang, C Shu, YT Chew… - Journal of Physics A …, 2013 - iopscience.iop.org
We propose a hybrid lattice-Boltzmann finite-difference method to simulate axisymmetric
multiphase flows. The hydrodynamics is simulated by the lattice-Boltzmann equations with …

Modeling realistic multiphase flows using a non-orthogonal multiple-relaxation-time lattice Boltzmann method

L Fei, J Du, KH Luo, S Succi, M Lauricella… - Physics of …, 2019 - pubs.aip.org
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 …

Simulations of binary drop collisions with a multiple-relaxation-time lattice-Boltzmann model

KN Premnath, J Abraham - Physics of Fluids, 2005 - pubs.aip.org
In this paper, we report simulations of drop-drop collisions using a multi-relaxation-time
multiphase flow lattice Boltzmann model. Employing a multi-relaxation-time (MRT) model in …

Unified lattice Boltzmann method with improved schemes for multiphase flow simulation: Application to droplet dynamics under realistic conditions

G Wang, L Fei, KH Luo - Physical Review E, 2022 - APS
As a powerful mesoscale approach, the lattice Boltzmann method (LBM) has been widely
used for the numerical study of complex multiphase flows. Recently, Luo et al.[Philos. Trans …

Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow

KN Premnath, J Abraham - Journal of Computational Physics, 2007 - Elsevier
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) …

Simple extended lattice Boltzmann methods for incompressible viscous single-phase and two-phase fluid flows

K Suzuki, T Inamuro, A Nakamura, F Horai, KL Pan… - Physics of …, 2021 - pubs.aip.org
The lattice Boltzmann method (LBM) is a numerical method with second-order spatial
accuracy for incompressible viscous fluid flows based on an analogy with the kinetic theory …