Numerical simulations of the Rayleigh-Taylor instability
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
A fast level set method for propagating interfaces
Journal of Computational Physics
Journal of Computational Physics
A projection FEM for variable density incompressible flows
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Computation of multiphase systems with phase field models
Journal of Computational Physics
A continuous surface tension force formulation for diffuse-interface models
Journal of Computational Physics
Journal of Computational Physics
Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces
Journal of Computational Physics
A conservative phase field method for solving incompressible two-phase flows
Journal of Computational Physics
A diffuse-interface method for two-phase flows with soluble surfactants
Journal of Computational Physics
A nonlinear PSE method for two-fluid shear flows with complex interfacial topology
Journal of Computational Physics
A gradient stable scheme for a phase field model for the moving contact line problem
Journal of Computational Physics
Journal of Computational Physics
Simulation of single mode Rayleigh---Taylor instability by SPH method
Computational Mechanics
An efficient computational model for macroscale simulations of moving contact lines
Journal of Computational Physics
Journal of Computational Physics
Lattice Boltzmann simulations of forced wetting transitions of drops on superhydrophobic surfaces
Journal of Computational Physics
Numerical simulation of the three-dimensional Rayleigh-Taylor instability
Computers & Mathematics with Applications
Simulation of bubble dynamics in a microchannel using a front-tracking method
Computers & Mathematics with Applications
Time integration for diffuse interface models for two-phase flow
Journal of Computational Physics
Hi-index | 31.51 |
We investigate the applicability of an incompressible diffuse interface model for two-phase incompressible fluid flows with large viscosity and density contrasts. Diffuse-interface models have been used previously primarily for density-matched fluids, and it remains unclear to what extent such models can be used for fluids of different density, thereby potentially limiting the application of these models. In this paper, the convective Cahn-Hilliard equation and the condition that the velocity field is divergence-free are derived from the conservation law of mass of binary mixtures in a straightforward way, for fluids with large density and viscosity ratios. Differences in the equations of motion with a previously derived quasi-incompressible model are shown to result from the respective assumptions made regarding the relationship between the diffuse fluxes of two species. The convergence properties of the model are investigated for cases with large density ratio. Quantitative comparisons are made with results from previous studies to validate the model and its numerical implementation. Tests show that the variation in volume during the computation is of the order of machine accuracy, which is consistent with our use of a conservative discretization scheme (finite volume methods) for the Cahn-Hilliard equation. Results of the method are compared with previous work for the change in topology of rising bubbles and Rayleigh-Taylor instability. Additional results are presented for head-on droplet collision and the onset of droplet entrainment in stratified flows.