Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
SIAM Journal on Scientific and Statistical Computing
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
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
Reconstructing volume tracking
Journal of Computational Physics
The fast construction of extension velocities in level set methods
Journal of Computational Physics
Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
Journal of Computational Physics
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm
Journal of Computational Physics
Journal of Scientific Computing
A Stable and Efficient Method for Treating Surface Tension in Incompressible Two-Phase Flow
SIAM Journal on Scientific Computing
Numerical simulations of free-interface fluids by a multi-integrated moment method
Computers and Structures
A conservative phase field method for solving incompressible two-phase flows
Journal of Computational Physics
Short Note: Revisit to the THINC scheme: A simple algebraic VOF algorithm
Journal of Computational Physics
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Hi-index | 31.45 |
We propose a practical numerical framework for free surface flows with surface tension force. The numerical framework consists of the CLSVOF (coupled level set and volume-of-fluid) method, the THINC/WLIC (tangent of hyperbola for interface capturing/weighted line interface calculation) scheme, multi-moment methods (CIP-CSL and VSIAM3) and the density-scaled CSF (continuum surface force) model. We also propose an efficient implementation algorithms of the density-scaled CSF model and a curvature interpolation technique, based on the level set method. The framework is validated through three benchmark problems (equilibrium drop, Rayleigh-Taylor instability and single bubble rising) and comparisons with an experiment of droplet splashing. The numerical framework can well capture free surface flows with complex interface geometries like droplet splashing. The proposed surface force algorithms, especially the level set based curvature interpolation technique, play a key role in numerical simulations of free surface flows with complex interface geometries.