Multi-relaxation time lattice Boltzmann model for multiphase flows

A Kuzmin, AA Mohamad, S Succi - International Journal of Modern …, 2008 - World Scientific
Multi-relaxation time (MRT) for Lattice Boltzmann method is gaining renewed attention
among researchers in the field. The advantage of such formulation over the widely popular …

Multirelaxation-time interaction-potential-based lattice Boltzmann model for two-phase flow

Z Yu, LS Fan - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
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 …

Multiple-relaxation-time lattice-Boltzmann model for multiphase flow

ME McCracken, J Abraham - Physical Review E—Statistical, Nonlinear, and …, 2005 - APS
The lattice-Boltzmann method has shown promise in simulating multiphase flows. However,
when using the Bhatnagar-Gross-Krook (BGK) collision operator and polynomial equilibria …

A decoupled and stabilized lattice Boltzmann method for multiphase flow with large density ratio at high Reynolds and Weber numbers

Y Wu, N Gui, X Yang, J Tu, S Jiang - Journal of Computational Physics, 2021 - Elsevier
A decoupled lattice Boltzmann method (LBM) with improved numerical stability is developed
from the conventional multiple relaxation time (MRT) model by eliminating the second-order …

Unsteady immiscible multiphase flow validation of a multiple-relaxation-time lattice Boltzmann method

S Leclaire, N Pellerin, M Reggio… - Journal of Physics A …, 2014 - iopscience.iop.org
The lattice Boltzmann modeling of immiscible multiphase flows needs to be further validated,
especially when density variation occurs between the different flow phases. From this …

Stability of the lattice kinetic scheme and choice of the free relaxation parameter

SA Hosseini, C Coreixas, N Darabiha, D Thévenin - Physical Review E, 2019 - APS
The lattice kinetic scheme (LKS), a modified version of the classical single relaxation time
(SRT) lattice Boltzmann method, was initially developed as a suitable numerical approach …

Improving the stability of multiple-relaxation lattice Boltzmann methods with central moments

M Chávez-Modena, E Ferrer, G Rubio - Computers & Fluids, 2018 - Elsevier
In this work we seek lattice Boltzmann methods (LBM) with improved stability that retain
accuracy. Using von Neumann stability analysis to extract dispersion and diffusion errors …

Multiple-relaxation-time lattice Boltzmann scheme for homogeneous mixture flows with external force

P Asinari - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
A lattice Boltzmann scheme is developed for homogeneous mixture modeling, based on the
multiple-relaxation-time (MRT) formulation, which fully recovers the Maxwell-Stefan diffusion …

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) …

Impact of collision models on the physical properties and the stability of lattice Boltzmann methods

C Coreixas, G Wissocq… - … Transactions of the …, 2020 - royalsocietypublishing.org
The lattice Boltzmann method (LBM) is known to suffer from stability issues when the
collision model relies on the BGK approximation, especially in the zero viscosity limit and for …