A continuum method for modeling surface tension
Journal of Computational Physics
Realistic animation of liquids
Graphical Models and Image Processing
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
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
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Practical animation of liquids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Physically based modeling and animation of fire
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Animation and rendering of complex water surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Journal of Computational Physics
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Keyframe control of smoke simulations
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2004 Papers
Fluid control using the adjoint method
ACM SIGGRAPH 2004 Papers
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
A method for animating viscoelastic fluids
ACM SIGGRAPH 2004 Papers
Directable photorealistic liquids
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Better with bubbles: enhancing the visual realism of simulated fluid
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Journal of Computational Physics
Stable but nondissipative water
ACM Transactions on Graphics (TOG)
Controlling fluid animation with geometric potential: Research Articles
Computer Animation and Virtual Worlds - Special Issue: The Very Best Papers from CASA 2004
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
A semi-Lagrangian contouring method for fluid simulation
ACM Transactions on Graphics (TOG)
Interactive 3D fluid jet painting
Proceedings of the 4th international symposium on Non-photorealistic animation and rendering
Melting and Burning Solids into Liquids and Gases
IEEE Transactions on Visualization and Computer Graphics
Efficient simulation of large bodies of water by coupling two and three dimensional techniques
ACM SIGGRAPH 2006 Papers
ACM SIGGRAPH 2006 Papers
Particle-based immiscible fluid-fluid collision
GI '06 Proceedings of Graphics Interface 2006
Controlling liquids using pressure jump
ACM SIGGRAPH 2006 Sketches
Advections with Significantly Reduced Dissipation and Diffusion
IEEE Transactions on Visualization and Computer Graphics
Path-based control of smoke simulations
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Physics based boiling simulation
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Practical animation of turbulent splashing water
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid
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
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Wrinkled flames and cellular patterns
ACM SIGGRAPH 2007 papers
Adaptively sampled particle fluids
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
Simulation of bubbles in foam with the volume control method
ACM SIGGRAPH 2007 papers
Animation of ice melting phenomenon based on thermodynamics with thermal radiation
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
Mode-splitting for highly detailed, interactive liquid simulation
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
ACM SIGGRAPH 2008 papers
Interaction of two-phase flow with animated models
Graphical Models
Simulation of atmospheric binary mixtures based on two-fluid model
Graphical Models
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
Stretching and wiggling liquids
ACM SIGGRAPH Asia 2009 papers
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
Graphical Models
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
A multiscale approach to mesh-based surface tension flows
ACM SIGGRAPH 2010 papers
A practical simulation of dispersed bubble flow
ACM SIGGRAPH 2010 papers
ACM SIGGRAPH 2010 papers
Multi-phase fluid simulations using regional level sets
ACM SIGGRAPH Asia 2010 papers
A parallel multigrid Poisson solver for fluids simulation on large grids
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A simple finite volume method for adaptive viscous liquids
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
Controllable multi-phase smoke with lagrangian particles
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
MultiFLIP for energetic two-phase fluid simulation
ACM Transactions on Graphics (TOG)
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
Animating corrosion and erosion
NPH'07 Proceedings of the Third Eurographics conference on Natural Phenomena
Particle-based simulation of bubbles in water–solid interaction
Computer Animation and Virtual Worlds
Wake Synthesis For Shallow Water Equation
Computer Graphics Forum
Simulating free surface flow with very large time steps
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Simulating free surface flow with very large time steps
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
Liquid surface tracking with error compensation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
A hybrid Lagrangian-Eulerian formulation for bubble generation and dynamics
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Versatile surface tension and adhesion for SPH fluids
ACM Transactions on Graphics (TOG)
A new SPH fluid simulation method using ellipsoidal kernels
Journal of Visualization
Visual simulation of turbulent fluids using MLS interpolation profiles
The Visual Computer: International Journal of Computer Graphics
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At interfaces between different fluids, properties such as density, viscosity, and molecular cohesion are discontinuous. To animate small-scale details of incompressible viscous multi-phase fluids realistically, we focus on the discontinuities in the state variables that express these properties. Surface tension of both free and bubble surfaces is modeled using the jump condition in the pressure field; and discontinuities in the velocity gradient field. driven by viscosity differences, are also considered. To obtain derivatives of the pressure and velocity fields with sub-grid accuracy, they are extrapolated across interfaces using continuous variables based on physical properties. The numerical methods that we present are easy to implement and do not impact the performance of existing solvers. Small-scale fluid motions, such as capillary instability, breakup of liquid sheets, and bubbly water can all be successfully animated.