Phase transition in van der Waals fluid
SIAM Journal on Applied Mathematics
Journal of Computational Physics
A novel lattice BGK approach for low Mach number combustion
Journal of Computational Physics
Journal of Computational Physics
A characteristic Galerkin method for discrete Boltzmann equation
Journal of Computational Physics
An Eulerian description of the streaming process in the lattice Boltzmann equation
Journal of Computational Physics
Lattice Boltzmann simulation of bubble flows
ICCS'03 Proceedings of the 1st international conference on Computational science: PartI
A lattice Boltzmann algorithm for calculation of the laminar jet diffusion flame
Journal of Computational Physics
A lattice Boltzmann model for multiphase flows with large density ratio
Journal of Computational Physics
Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Using Cahn-Hilliard mobility to simulate coalescence dynamics
Computers & Mathematics with Applications
Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces
Journal of Computational Physics
Evaluation of three lattice Boltzmann models for multiphase flows in porous media
Computers & Mathematics with Applications
Modelling of high pressure binary droplet collisions
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Turbulent jet computations based on MRT and Cascaded Lattice Boltzmann models
Computers & Mathematics with Applications
Lattice Boltzmann simulations of forced wetting transitions of drops on superhydrophobic surfaces
Journal of Computational Physics
Lattice Boltzmann phase-field modeling of thermocapillary flows in a confined microchannel
Journal of Computational Physics
Lattice Boltzmann simulation of a drop impact on a moving wall with a liquid film
Computers & Mathematics with Applications
Investigation of two-phase flow in porous media using lattice Boltzmann method
Computers & Mathematics with Applications
Hi-index | 31.49 |
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 viscosity ratios. The stiffness of the discretized forcing terms in LBE for non-ideal gases is known to trigger severe numerical instability and restrict practical application of the LBE method. Use of a proper pressure updating scheme is also crucial to the stability of the LBE method because of non-negligible pressure variation across the phase interface. To deal with these issues, we propose a stable discretization scheme, which assumes the low Mach number approximation, and utilizes the stress and potential forms of the surface tension force, the incompressible transformation, and the consistent discretization of the intermolecular forcing terms. The proposed stable discretization scheme is applied to simulate 1-D advection equation with a source term, a stationary droplet, droplet oscillation and droplet splashing and deposition on a thin film at a density ratio of 1000 with varying Reynolds numbers. The numerical solutions of stationary and oscillatory droplets agree well with analytic solutions including the Laplace's law. The time history of the spread factor of the liquid sheet emitted after the droplet impact also follows the known spreading power law.