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 …

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 …

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) …

[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 lattice Boltzmann model for multiphase flows with large density ratio

HW Zheng, C Shu, YT Chew - Journal of computational physics, 2006 - Elsevier
A lattice Boltzmann model for simulating multiphase flows with large density ratios is
described in this paper. The method is easily implemented. It does not require solving the …

Phase-field modeling by the method of lattice Boltzmann equations

A Fakhari, MH Rahimian - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
In this paper, at first, a lattice Boltzmann method for binary fluids, which is applicable at low
viscosity values, is developed. The presented scheme is extension of the free-energy-based …

Theory of the lattice Boltzmann method: Two-fluid model for binary mixtures

LS Luo, SS Girimaji - Physical Review E, 2003 - APS
A two-fluid lattice Boltzmann model for binary mixtures is developed. The model is derived
formally from kinetic theory by discretizing two-fluid Boltzmann equations in which mutual …

Evaluation of two lattice Boltzmann models for multiphase flows

S Hou, X Shan, Q Zou, GD Doolen, WE Soll - Journal of Computational …, 1997 - Elsevier
Two lattice Boltzmann models for multiphase flows, the immiscible fluid model proposed by
Rothman and Keller (R–K) and the multicomponent nonideal gas lattice Boltzmann model …

Multiple-relaxation-time lattice Boltzmann method for immiscible fluids at high Reynolds numbers

A Fakhari, T Lee - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
The lattice Boltzmann method for immiscible multiphase flows with large density ratio is
extended to high Reynolds number flows using a multiple-relaxation-time (MRT) collision …

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 …