A continuum method for modeling surface tension
Journal of Computational Physics
Temporal evolution of periodic disturbances in two-layer Couette flow
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
Fully conservative higher order finite difference schemes for incompressible flow
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
hypre: A Library of High Performance Preconditioners
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries
Journal of Computational Physics
A geometrical area-preserving volume-of-fluid advection method
Journal of Computational Physics
A high-wavenumber viscosity for high-resolution numerical methods
Journal of Computational Physics
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
A balanced force refined level set grid method for two-phase flows on unstructured flow solver grids
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
Conservative Volume-of-Fluid method for free-surface simulations on Cartesian-grids
Journal of Computational Physics
A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method
Journal of Computational Physics
Hi-index | 31.45 |
This paper presents a novel approach for solving the conservative form of the incompressible two-phase Navier-Stokes equations. In order to overcome the numerical instability induced by the potentially large density ratio encountered across the interface, the proposed method includes a Volume-of-Fluid type integration of the convective momentum transport, a monotonicity preserving momentum rescaling, and a consistent and conservative Ghost Fluid projection that includes surface tension effects. The numerical dissipation inherent in the Volume-of-Fluid treatment of the convective transport is localized in the interface vicinity, enabling the use of a kinetic energy conserving discretization away from the singularity. Two- and three-dimensional tests are presented, and the solutions shown to remain accurate at arbitrary density ratios. The proposed method is then successfully used to perform the detailed simulation of a round water jet emerging in quiescent air, therefore suggesting the applicability of the proposed algorithm to the computation of realistic turbulent atomization.