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
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
The point-set method: front-tracking without connectivity
Journal of Computational Physics
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
A front-tracking method for the computations of multiphase flow
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
Interface pressure calculation based on conservation of momentum for front capturing methods
Journal of Computational Physics
Estimating curvature from volume fractions
Computers and Structures
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
Multi-physics treatment in the vicinity of arbitrarily deformable gas-liquid interfaces
Journal of Computational Physics
On Boundary Condition Capturing for Multiphase Interfaces
Journal of Scientific Computing
The numerical simulation of liquid sloshing on board spacecraft
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Transient adaptivity applied to two-phase incompressible 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
Numerical prediction of interfacial instabilities: Sharp interface method (SIM)
Journal of Computational Physics
Journal of Computational Physics
A grid-alignment finite element technique for incompressible multicomponent flows
Journal of Computational Physics
An accurate conservative level set/ghost fluid method for simulating turbulent atomization
Journal of Computational Physics
Short Note: Second-order accurate normals from height functions
Journal of Computational Physics
Journal of Computational Physics
A mesh-dependent model for applying dynamic contact angles to VOF simulations
Journal of Computational Physics
An accurate adaptive solver for surface-tension-driven interfacial flows
Journal of Computational Physics
An improved particle correction procedure for the particle level set method
Journal of Computational Physics
Journal of Computational Physics
Interface curvature via volume fractions, heights, and mean values on nonuniform rectangular grids
Journal of Computational Physics
Numerical simulation of static and sliding drop with contact angle hysteresis
Journal of Computational Physics
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
Journal of Computational Physics
Marker Redistancing/Level Set Method for High-Fidelity Implicit Interface Tracking
SIAM Journal on Scientific Computing
Journal of Computational Physics
A level set method for vapor bubble dynamics
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
An energy preserving formulation for the simulation of multiphase turbulent flows
Journal of Computational Physics
A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
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
Journal of Computational Physics
A discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows
Journal of Computational Physics
A sharp-interface phase change model for a mass-conservative interface tracking method
Journal of Computational Physics
A balanced-force algorithm for two-phase flows
Journal of Computational Physics
Hi-index | 31.62 |
A new balanced-force algorithm is presented for modeling interfacial flow with surface tension. The algorithm is characterized by a pressure-correction method with the interfaces represented by volume fractions. Within this flow algorithm, we devise a continuous (e.g., continuum surface tension model) and a sharp (e.g., a ghost fluid method) interface representation of the surface-tension-induced interfacial pressure jump condition. The sharp interface representation is achieved by temporarily reconstructing distance functions from volume fractions. We demonstrate that a flow algorithm designed to legislate force balance retains an exact balance between surface tension forces and the resulting pressure gradients. This balance holds for both continuous and sharp representations of interfacial surface tension. The algorithm design eliminates one of the elusive impediments to more accurate models of surface tension-driven flow, the remaining of which is accurate curvature estimation. To validate our formulation, we present results for an equilibrium (static) drop in two and three dimensions having an arbitrary density jump across the interface. We find that the sharp surface tension method yields an abrupt pressure jump across the interface, whereas the continuous surface tension method results in a smoother transition. Both methods, however, yield spurious velocities of the same order, the origin of which is due solely to errors in curvature. Dynamic results are also presented to illustrate the versatility of the method.