Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
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
Improved volume conservation in the computation of flows with immersed elastic boundaries
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
A second-order projection method for the incompressible Navier-Stokes equations in arbitrary domains
Journal of Computational Physics
Velocity boundary conditions for the simulation of free surface fluid flow
Journal of Computational Physics
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
Practical animation of liquids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
HSCC '01 Proceedings of the 4th International Workshop on Hybrid Systems: Computation and Control
Journal of Computational Physics
Journal of Computational Physics
A numerical method for three-dimensional gas-liquid flow computations
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
ACM SIGGRAPH 2005 Papers
Coupling water and smoke to thin deformable and rigid shells
ACM SIGGRAPH 2005 Papers
Short Note: A multi-phase flow method with a fast, geometry-based fluid indicator
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
ACM SIGGRAPH 2006 Papers
Hydrodynamic simulation of air bubble implosion using a level set approach
Journal of Computational Physics
A Level Set Method for vaporizing two-phase flows
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
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid
Journal of Scientific Computing
Level Set Based Simulations of Two-Phase Oil-Water Flows in Pipes
Journal of Scientific Computing
On Boundary Condition Capturing for Multiphase Interfaces
Journal of Scientific Computing
Derivative Particles for Simulating Detailed Movements of Fluids
IEEE Transactions on Visualization and Computer Graphics
Simulation of bubbles in foam with the volume control method
ACM SIGGRAPH 2007 papers
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A direct-forcing fictitious domain method for particulate flows
Journal of Computational Physics
Numerical prediction of interfacial instabilities: Sharp interface method (SIM)
Journal of Computational Physics
Journal of Computational Physics
On stability condition for bifluid flows with surface tension: Application to microfluidics
Journal of Computational Physics
An Improved Sharp Interface Method for Viscoelastic and Viscous Two-Phase Flows
Journal of Scientific Computing
An improved three-dimensional model for interface pressure calculations in free-surface flows
International Journal of Computational Fluid Dynamics
An accurate conservative level set/ghost fluid method for simulating turbulent atomization
Journal of Computational Physics
Journal of Scientific Computing
A spectrally refined interface approach for simulating multiphase flows
Journal of Computational Physics
Journal of Computational Physics
A method for avoiding the acoustic time step restriction in compressible flow
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
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
Sharp interface immersed-boundary/level-set method for wave-body interactions
Journal of Computational Physics
Density contrast SPH interfaces
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Accurate viscous free surfaces for buckling, coiling, and rotating liquids
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Journal of Scientific Computing
A self-adaptive oriented particles Level-Set method for tracking interfaces
Journal of Computational Physics
Journal of Computational Physics
An interpolation matched interface and boundary method for elliptic interface problems
Journal of Computational and Applied Mathematics
A multiscale approach to mesh-based surface tension flows
ACM SIGGRAPH 2010 papers
A practical simulation of dispersed bubble flow
ACM SIGGRAPH 2010 papers
Three-dimensional, fully adaptive simulations of phase-field fluid models
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Multi-phase fluid simulations using regional level sets
ACM SIGGRAPH Asia 2010 papers
The extended finite element method for two-phase and free-surface flows: A systematic study
Journal of Computational Physics
Computers & Mathematics with Applications
Journal of Computational Physics
Journal of Computational Physics
MultiFLIP for energetic two-phase fluid simulation
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
A new volume-of-fluid method with a constructed distance function on general structured grids
Journal of Computational Physics
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
A level-set continuum method for two-phase flows with insoluble surfactant
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Journal of Computational Physics
A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
Journal of Scientific Computing
A discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows
Journal of Computational Physics
Versatile surface tension and adhesion for SPH fluids
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
A balanced-force algorithm for two-phase flows
Journal of Computational Physics
Benchmarks and numerical methods for the simulation of boiling flows
Journal of Computational Physics
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In [6], the Ghost Fluid Method (GFM) was developed to capture the boundary conditions at a contact discontinuity in the inviscid compressible Euler equations. In [11], related techniques were used to develop a boundary condition capturing approach for the variable coefficient Poisson equation on domains with an embedded interface. In this paper, these new numerical techniques are extended to treat multiphase incompressible flow including the effects of viscosity, surface tension and gravity. While the most notable finite difference techniques for multiphase incompressible flow involve numerical smearing of the equations near the interface, see, e.g., [19, 17, 1], this new approach treats the interface in a sharp fashion.