Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
FLAIR: fluz line-segment model for advection and interface reconstruction
Journal of Computational Physics
The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
Computer Methods in Applied Mechanics and Engineering
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
Flux difference splittings and limiters for the resolution of contact discontinuities
Applied Mathematics and Computation - Special issue on differential equations and computational simulations I
A fast, matrix-free implicity method for compressible flows on unstructured grids
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
A level set approach for computing solutions to incompressible two-phase flow
Adaptive tetrahedral meshing in free-surface flow
Journal of Computational Physics
A preconditioned dual time-stepping method for combustion problems
International Journal of Computational Fluid Dynamics
Journal of Computational Physics
Journal of Computational Physics
Applied Numerical Mathematics
Journal of Computational Physics
Hi-index | 31.47 |
In this paper, a new unstructured-grid/finite volume incompressible Navier-Stokes solver, based on a high-order characteristics-based method, the artificial compressibility method, and a matrix-free implicit dual time-stepping scheme, has been developed to study unsteady free surface flows. The free surface effects are calculated using the volume of fluid (VOF) method and continuum surface force. The transport equation for the VOF is numerically solved using exactly the same method for the flow solver. A number of test cases have been studied to validate the proposed method and demonstrate its capability by comparison with other schemes and published results.