A continuum method for modeling surface tension
Journal of Computational Physics
Modelling merging and fragmentation in multiphase flows with SURFER
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
The point-set method: front-tracking without connectivity
Journal of Computational Physics
Journal of Computational Physics
An adaptive mesh algorithm for evolving surfaces: simulation of drop breakup and coalescence
Journal of Computational Physics
Numerical simulation of moving contact line problems using a volume-of-fluid method
Journal of Computational Physics
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Journal of Computational Physics
A volume of fluid method based on multidimensional advection and spline interface reconstruction
Journal of Computational Physics
High-order surface tension VOF-model for 3D bubble flows with high density ratio
Journal of Computational Physics
A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
Journal of Computational Physics
Interface pressure calculation based on conservation of momentum for front capturing methods
Journal of Computational Physics
Accurate representation of surface tension using the level contour reconstruction method
Journal of Computational Physics
A continuous surface tension force formulation for diffuse-interface models
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
Numerical simulation of 3D viscoelastic flows with free surfaces
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Sharp interface tracking using the phase-field equation
Journal of Computational Physics
A sharp interface method for incompressible two-phase flows
Journal of Computational Physics
A numerical method for capillarity-dominant free surface flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
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
Numerical prediction of interfacial instabilities: Sharp interface method (SIM)
Journal of Computational Physics
Short Note: Analytical and geometrical tools for 3D volume of fluid methods in general grids
Journal of Computational Physics
On stability condition for bifluid flows with surface tension: Application to microfluidics
Journal of Computational Physics
An improved three-dimensional model for interface pressure calculations in free-surface flows
International Journal of Computational Fluid Dynamics
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
Journal of Computational Physics
A parallel Eulerian interface tracking/Lagrangian point particle multi-scale coupling procedure
Journal of Computational Physics
Numerical simulation of static and sliding drop with contact angle hysteresis
Journal of Computational Physics
Short Note: On reducing interface curvature computation errors in the height function technique
Journal of Computational Physics
Journal of Computational Physics
Marker Redistancing/Level Set Method for High-Fidelity Implicit Interface Tracking
SIAM Journal on Scientific Computing
A conservative level set method suitable for variable-order approximations and unstructured meshes
Journal of Computational Physics
Journal of Computational Physics
A numerical method for interface reconstruction of triple points within a volume tracking algorithm
Mathematical and Computer Modelling: An International Journal
Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method
Journal of Computational Physics
A 3D Unsplit Forward/Backward Volume-of-Fluid Approach and Coupling to the Level Set Method
Journal of Computational Physics
Journal of Computational Physics
An energy preserving formulation for the simulation of multiphase turbulent flows
Journal of Computational Physics
Journal of Scientific Computing
A lattice Boltzmann method for immiscible two-phase Stokes flow with a local collision operator
Computers & Mathematics with Applications
Journal of Computational Physics
An arbitrary Lagrangian Eulerian method for three-phase flows with triple junction points
Journal of Computational Physics
Hi-index | 31.65 |
Volume-of-fluid (VOF) methods are popular for the direct numerical simulation of time-dependent viscous incompressible flow of multiple liquids. As in any numerical method, however, it has its weaknesses, namely, for flows in which the capillary force is the dominant physical mechanism. The lack of convergence with spatial refinement, or convergence to a solution that is slightly different from the exact solution, has been documented in the literature. A well-known limiting case for this is the existence of spurious currents for the simulation of a spherical drop with zero initial velocity. These currents are present in all previous versions of VOF algorithms. In this paper, we develop an accurate representation of the body force due to surface tension, which effectively eliminates spurious currents. We call this algorithm PROST: parabolic reconstruction of surface tension. There are several components to this procedure, including the new body force algorithm, improvements in the projection method for the Navier-Stokes solver, and a higher order interface advection scheme. The curvature to the interface is calculated from an optimal fit for a quadratic approximation to the interface over groups of cells.