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 …

[HTML][HTML] Fourth-order analysis of force terms in multiphase pseudopotential lattice Boltzmann model

Y Wu, N Gui, X Yang, J Tu, S Jiang - Computers & Mathematics with …, 2018 - Elsevier
Pseudopotential lattice Boltzmann model (LBM) for multiphase flow has been widely studied
due to its conceptual simplicity and computational efficiency. Additional interaction force …

Eliminating cubic terms in the pseudopotential lattice Boltzmann model for multiphase flow

R Huang, H Wu, NA Adams - Physical Review E, 2018 - APS
It is well recognized that there exist additional cubic terms of velocity in the lattice Boltzmann
(LB) model based on the standard lattice. In this work, elimination of these cubic terms in the …

Evaluation of force implementation in pseudopotential-based multiphase lattice Boltzmann models

K Sun, T Wang, M Jia, G Xiao - Physica A: Statistical Mechanics and its …, 2012 - Elsevier
The Lattice Boltzmann method (LBM) has proven to be a promising approach in handling
multiphase flow problems. In the most widely applied pseudopotential-based LBM …

Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model

Q Li, KH Luo, XJ Li - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
Owing to its conceptual simplicity and computational efficiency, the pseudopotential
multiphase lattice Boltzmann (LB) model has attracted significant attention since its …

Improved forcing scheme in pseudopotential lattice Boltzmann methods for multiphase flow at arbitrarily high density ratios

D Lycett-Brown, KH Luo - Physical Review E, 2015 - APS
The pseudopotential lattice Boltzmann method has been widely used to simulate many
multiphase flow applications. However, there still exist problems with reproducing realistic …

Pseudopotential lattice Boltzmann equation method for two-phase flow: A higher-order Chapmann-Enskog expansion

Q Zhai, L Zheng, S Zheng - Physical Review E, 2017 - APS
In this paper, a higher order Chapmann-Enskog expansion technique is applied to
pseudopotential lattice Boltzmann equation (LBE), and the contribution of third order error …

Improved stability strategies for pseudo-potential models of lattice Boltzmann simulation of multiphase flow

Y Wu, N Gui, X Yang, J Tu, S Jiang - International Journal of Heat and Mass …, 2018 - Elsevier
Since the pseudo-potential lattice-Boltzmann (LB) model was proposed, it has been
suffering from low density ratio, small Reynolds number and flow instabilities, which hamper …

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 …

A pseudopotential-based multiple-relaxation-time lattice Boltzmann model for multicomponent/multiphase flows

ZH Chai, TS Zhao - Acta Mechanica Sinica, 2012 - Springer
In this paper, a pseudopotential-based multiple-relaxation-time lattice Boltzmann model is
proposed for multicomponent/multiphase flow systems. Unlike previous models in the …