Journal of Computational Physics
Lattice Boltzmann equation on a two-dimensional rectangular grid
Journal of Computational Physics
Journal of Computational Physics
A multi-relaxation lattice kinetic method for passive scalar diffusion
Journal of Computational Physics
A lattice Boltzmann model for multiphase flows with large density ratio
Journal of Computational Physics
Journal of Computational Physics
A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation
Mathematics and Computers in Simulation
Performance modeling and automatic ghost zone optimization for iterative stencil loops on GPUs
Proceedings of the 23rd international conference on Supercomputing
Journal of Computational Physics
Multirange multi-relaxation time Shan-Chen model with extended equilibrium
Computers & Mathematics with Applications
Journal of Computational Physics
Journal of Scientific Computing
A steady-state lattice Boltzmann model for incompressible flows
Computers & Mathematics with Applications
Lattice Boltzmann model for elastic thin plate with small deflection
Computers & Mathematics with Applications
Validation of a lattice Boltzmann model for gas-solid reactions with experiments
Journal of Computational Physics
A Lattice Boltzmann Model for the Reaction-Diffusion Equations with Higher-Order Accuracy
Journal of Scientific Computing
Boundary conditions for thermal lattice Boltzmann equation method
Journal of Computational Physics
Hi-index | 31.47 |
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) model, a widely employed kinetic model, in MRT models the rates of relaxation processes owing to collisions of particle populations may be independently adjusted. As a result, the MRT models offer a significant improvement in numerical stability of the LB method for simulating fluids with lower viscosities. We show through the Chapman-Enskog multiscale analysis that the continuum limit behavior of 3D MRT LB models corresponds to that of the macroscopic dynamical equations for multiphase flow. We extend the 3D MRT LB models developed to represent multiphase flow with reduced compressibility effects. The multiphase models are evaluated by verifying the Laplace-Young relation for static drops and the frequency of oscillations of drops. The results show satisfactory agreement with available data and significant gains in numerical stability.