Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Rapid, stable fluid dynamics for computer graphics
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
A level set approach for computing solutions to incompressible two-phase flow
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 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
Modern Control, System Theory and Application
Modern Control, System Theory and Application
Animation and rendering of complex water surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Boundary Integral Method for 3D Simulation of Foam Dynamics
LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Dynamic simulation of splashing fluids
CA '95 Proceedings of the Computer Animation
Journal of Computational Physics
Animating suspended particle explosions
ACM SIGGRAPH 2003 Papers
Journal of Computational Physics
Rigid fluid: animating the interplay between rigid bodies and fluid
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
Better with bubbles: enhancing the visual realism of simulated fluid
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Stable but nondissipative water
ACM Transactions on Graphics (TOG)
Proceedings of the 2004 ACM/IEEE conference on Supercomputing
A vortex particle method for smoke, water and explosions
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Coupling water and smoke to thin deformable and rigid shells
ACM SIGGRAPH 2005 Papers
Particle-based fluid-fluid interaction
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Vortex fluid for gaseous phenomena
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Melting and Burning Solids into Liquids and Gases
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2006 Papers
High-Quality Extraction of Isosurfaces from Regular and Irregular Grids
IEEE Transactions on Visualization and Computer Graphics
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
An Unconditionally Stable MacCormack Method
Journal of Scientific Computing
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
FlowFixer: using BFECC for fluid simulation
NPH'05 Proceedings of the First Eurographics conference on Natural Phenomena
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
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
Hardware-aware analysis and optimization of stable fluids
Proceedings of the 2008 symposium on Interactive 3D graphics and games
ACM SIGGRAPH 2008 papers
Feedback control of cumuliform cloud formation based on computational fluid dynamics
ACM SIGGRAPH 2008 papers
ACM SIGGRAPH 2009 papers
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
Fast and robust tracking of fluid surfaces
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Graphical Models
A multiscale approach to mesh-based surface tension flows
ACM SIGGRAPH 2010 papers
A practical simulation of dispersed bubble flow
ACM SIGGRAPH 2010 papers
Multi-phase fluid simulations using regional level sets
ACM SIGGRAPH Asia 2010 papers
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
MultiFLIP for energetic two-phase fluid simulation
ACM Transactions on Graphics (TOG)
Animating bubble interactions in a liquid foam
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Animating corrosion and erosion
NPH'07 Proceedings of the Third Eurographics conference on Natural Phenomena
Simulating free surface flow with very large time steps
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Mass-conserving eulerian liquid simulation
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Controlling liquids using meshes
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
Mass-conserving eulerian liquid simulation
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Controlling liquids using meshes
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
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
A new level set model for multimaterial flows
Journal of Computational Physics
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Liquid and gas interactions often produce bubbles that stay for a long time without bursting on the surface, making a dry foam structure. Such long lasting bubbles simulated by the level set method can suffer from a small but steady volume error that accumulates to a visible amount of volume change. We propose to address this problem by using the volume control method. We track the volume change of each connected region, and apply a carefully computed divergence that compensates undesired volume changes. To compute the divergence, we construct a mathematical model of the volume change, choose control strategies that regulate the modeled volume error, and establish methods to compute the control gains that provide robust and fast reduction of the volume error, and (if desired) the control of how the volume changes over time.