FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
Journal of Computational Physics
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
The quickhull algorithm for convex hulls
ACM Transactions on Mathematical Software (TOMS)
Realistic animation of liquids
GI '96 Proceedings of the conference on Graphics interface '96
Smoothed particles: a new paradigm for animating highly deformable bodies
Proceedings of the Eurographics workshop on Computer animation and simulation '96
A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
Journal of Computational Physics
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Journal of Computational Physics
Proceedings of the 1999 conference on Graphics interface '99
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
Interaction of fluids with deformable solids: Research Articles
Computer Animation and Virtual Worlds - Special Issue: The Very Best Papers from CASA 2004
Animating gases with hybrid meshes
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Particle-based viscoelastic fluid simulation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Particle-based fluid-fluid interaction
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Fluid animation with dynamic meshes
ACM SIGGRAPH 2006 Papers
Realistic and interactive simulation of rivers
GI '06 Proceedings of Graphics Interface 2006
Cartesian grid fluid simulation with irregular boundary voxels
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Stable, circulation-preserving, simplicial fluids
ACM Transactions on Graphics (TOG)
Computing a null divergence velocity field using smoothed particle hydrodynamics
Journal of Computational Physics
Detail-preserving fluid control
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
A unified particle model for fluid–solid interactions: Research Articles
Computer Animation and Virtual Worlds
Weakly compressible SPH for free surface flows
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Liquid simulation on lattice-based tetrahedral meshes
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Adaptively sampled particle fluids
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
A fast variational framework for accurate solid-fluid coupling
ACM SIGGRAPH 2007 papers
Incompressible smoothed particle hydrodynamics
Journal of Computational Physics
An incompressible multi-phase SPH method
Journal of Computational Physics
Porous flow in particle-based fluid simulations
ACM SIGGRAPH 2008 papers
Two-Way Coupled SPH and Particle Level Set Fluid Simulation
IEEE Transactions on Visualization and Computer Graphics
Adaptive particles for incompressible fluid simulation
The Visual Computer: International Journal of Computer Graphics
Predictive-corrective incompressible SPH
ACM SIGGRAPH 2009 papers
Density contrast SPH interfaces
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Particle-based fluid simulation on the GPU
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part IV
A unified lagrangian approach to solid-fluid animation
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Adaptive sampling and rendering of fluids on the GPU
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
Multi-phase fluid simulations using regional level sets
ACM SIGGRAPH Asia 2010 papers
Interactive hydraulic erosion using CUDA
ICCVG'10 Proceedings of the 2010 international conference on Computer vision and graphics: Part I
Reconstructing surfaces of particle-based fluids using anisotropic kernels
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Real-time Eulerian water simulation using a restricted tall cell grid
ACM SIGGRAPH 2011 papers
A particle-based method for preserving fluid sheets
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A level-set method for skinning animated particle data
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Hybrid smoothed particle hydrodynamics
SCA '11 Proceedings of the 2011 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
Animating bubble interactions in a liquid foam
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Large-scale fluid simulation using velocity-vorticity domain decomposition
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Local Poisson SPH For Viscous Incompressible Fluids
Computer Graphics Forum
Reconstructing surfaces of particle-based fluids using anisotropic kernels
ACM Transactions on Graphics (TOG)
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
Highly adaptive liquid simulations on tetrahedral meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
A new grid structure for domain extension
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Chimera grids for water simulation
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids
Journal of Computational Physics
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In this paper, we present a point-based method for animating incompressible flow. The advection term is handled by moving the sample points through the flow in a Lagrangian fashion. However, unlike most previous approaches, the pressure term is handled by performing a projection onto a divergence-free field. To perform the pressure projection, we compute a Voronoi diagram with the sample points as input. Borrowing from Finite Volume Methods, we then invoke the divergence theorem and ensure that each Voronoi cell is divergence free. To handle complex boundary conditions, Voronoi cells are clipped against obstacle boundaries and free surfaces. The method is stable, flexible and combines many of the desirable features of point-based and grid-based methods. We demonstrate our approach on several examples of splashing and streaming liquid and swirling smoke.