Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
A method for capturing sharp fluid interfaces on arbitrary meshes
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A lattice Boltzmann method for incompressible two-phase flows with large density differences
Journal of Computational Physics
Second-order accurate volume-of-fluid algorithms for tracking material interfaces
Journal of Computational Physics
High-order surface tension VOF-model for 3D bubble flows with high density ratio
Journal of Computational Physics
Journal of Computational Physics
A continuous surface tension force formulation for diffuse-interface models
Journal of Computational Physics
Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow
Journal of Computational Physics
An arbitrary Lagrangian-Eulerian method for simulating bubble growth in polymer foaming
Journal of Computational Physics
On equations of state in a lattice Boltzmann method
Computers & Mathematics with Applications
Using Cahn-Hilliard mobility to simulate coalescence dynamics
Computers & Mathematics with Applications
Journal of Computational Physics
Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces
Journal of Computational Physics
Phase-field modeling droplet dynamics with soluble surfactants
Journal of Computational Physics
Evaluation of three lattice Boltzmann models for multiphase flows in porous media
Computers & Mathematics with Applications
Boundary conditions for thermal lattice Boltzmann equation method
Journal of Computational Physics
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
Hi-index | 31.49 |
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 Poisson equation and does not involve the complex treatments of derivative terms. The interface capturing equation is recovered without any additional terms as compared to other methods [M.R. Swift, W.R. Osborn, J.M. Yeomans, Lattice Boltzmann simulation of liquid-gas and binary fluid systems, Phys. Rev. E 54 (1996) 5041-5052; T. Inamuro, T. Ogata, S. Tajima, N. Konishi, A lattice Boltzmann method for incompressible two-phase flows with large density differences, J. Comput. Phys. 198 (2004) 628-644; T. Lee, C.-L. Lin, A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio, J. Comput. Phys. 206 (2005) 16-47]. Besides, it requires less discrete velocities. As a result, its efficiency could be greatly improved, especially in 3D applications. It is validated by several cases: a bubble in a stationary flow and the capillary wave. The numerical surface tension obtained from the Laplace law and the interface profile agrees very well with the respective analytical solution. The method is further verified by its application to capillary wave and the bubble rising under buoyancy with comparison to other methods. All the numerical experiments show that the present approach can be used to model multiphase flows with large density ratios.