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 hybrid phase field multiple relaxation time lattice Boltzmann method for the incompressible multiphase flow with large density contrast

JY Shao, C Shu - … Journal for Numerical Methods in Fluids, 2015 - Wiley Online Library
A hybrid phase field multiple relaxation time lattice Boltzmann method (LBM) is presented in
this paper for simulation of multiphase flows with large density contrast. In the present …

Phase-field-based multiple-relaxation-time lattice Boltzmann model for incompressible multiphase flows

H Liang, BC Shi, ZL Guo, ZH Chai - Physical Review E, 2014 - APS
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 …

[HTML][HTML] Multiphase cascaded lattice Boltzmann method

D Lycett-Brown, KH Luo - Computers & Mathematics with Applications, 2014 - Elsevier
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) …

A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio

T Lee, CL Lin - Journal of Computational Physics, 2005 - Elsevier
A stable discretization of the lattice Boltzmann equation (LBE) for non-ideal gases is
presented for simulation of incompressible two-phase flows having high density 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 …

Additional interfacial force in lattice Boltzmann models for incompressible multiphase flows

Q Li, KH Luo, YJ Gao, YL He - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
The existing lattice Boltzmann models for incompressible multiphase flows are mostly
constructed with two distribution functions: one is the order parameter distribution function …

Third-order analysis of pseudopotential lattice Boltzmann model for multiphase flow

R Huang, H Wu - Journal of Computational Physics, 2016 - Elsevier
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 …

Simplified multiphase lattice Boltzmann method for simulating multiphase flows with large density ratios and complex interfaces

Z Chen, C Shu, D Tan, XD Niu, QZ Li - Physical Review E, 2018 - APS
In this paper, a simplified multiphase lattice Boltzmann method (SMLBM) is developed for
modeling incompressible multiphase flows with large density ratios and complex interfaces …