A continuum method for modeling surface tension
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
Journal of Computational Physics
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
Multigrid
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
A lattice Boltzmann model for multiphase flows with large density ratio
Journal of Computational Physics
Journal of Computational Physics
Diffuse interface model for incompressible two-phase flows with large density ratios
Journal of Computational Physics
On stability condition for bifluid flows with surface tension: Application to microfluidics
Journal of Computational Physics
Adaptive pseudospectral solution of a diffuse interface model
Journal of Computational and Applied Mathematics
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
Multiphase image segmentation using a phase-field model
Computers & Mathematics with Applications
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Numerical simulation of the three-dimensional Rayleigh-Taylor instability
Computers & Mathematics with Applications
Time integration for diffuse interface models for two-phase flow
Journal of Computational Physics
Hi-index | 31.50 |
We present a new surface tension force formulation for a diffuse-interface model, which is derived for incompressible, immiscible Navier-Stokes equations separated by free interfaces. The classical infinitely thin boundary of separation between the two immiscible fluids is replaced by a transition region of small but finite width, across which the composition of the one of two fluids changes continuously. Various versions of diffuse-interface methods have been used successfully for the numerical simulations of two phase fluid flows. These methods are robust, efficient, and capable of computing interface singularities such as merging and pinching off. But prior studies used modified surface tension force formulations, therefore it is not straightforward to calculate pressure field because pressure includes the gradient terms resulting from the modified surface tension term. The new formulation allows us to calculate the pressure field directly from the governing equations. Computational results showing the accuracy and effectiveness of the method are given for a drop deformation and Rayleigh capillary instability.