SIAM Journal on Numerical Analysis
Realistic animation of liquids
Graphical Models and Image Processing
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Physically-based visual simulation on graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
A multigrid solver for boundary value problems using programmable graphics hardware
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
An Introduction to the Conjugate Gradient Method Without the Agonizing Pain
Wang Tiles for image and texture generation
ACM SIGGRAPH 2003 Papers
Precomputing interactive dynamic deformable scenes
ACM SIGGRAPH 2003 Papers
Linear algebra operators for GPU implementation of numerical algorithms
ACM SIGGRAPH 2003 Papers
Sparse matrix solvers on the GPU: conjugate gradients and multigrid
ACM SIGGRAPH 2003 Papers
A spectral viscosity method for correcting the long-term behavior of POD models
Journal of Computational Physics
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
An improved study of real-time fluid simulation on GPU: 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
A vortex particle method for smoke, water and explosions
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Real-Time subspace integration for St. Venant-Kirchhoff deformable models
ACM SIGGRAPH 2005 Papers
Simulation of smoke based on vortex filament primitives
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
Calibrated reduced-order POD-Galerkin system for fluid flow modelling
Journal of Computational Physics
Model reduction for real-time fluids
ACM SIGGRAPH 2006 Papers
Stable, circulation-preserving, simplicial fluids
ACM SIGGRAPH 2006 Courses
A controllable, fast and stable basis for vortex based smoke simulation
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Adaptively sampled particle fluids
ACM SIGGRAPH 2007 papers
Real-time control of physically based simulations using gentle forces
ACM SIGGRAPH Asia 2008 papers
A unified lagrangian approach to solid-fluid animation
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Synthetic turbulence using artificial boundary layers
ACM SIGGRAPH Asia 2009 papers
Skipping steps in deformable simulation with online model reduction
ACM SIGGRAPH Asia 2009 papers
Interactive fluid-particle simulation using translating Eulerian grids
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
A novel algorithm for incompressible flow using only a coarse grid projection
ACM SIGGRAPH 2010 papers
Scalable fluid simulation using anisotropic turbulence particles
ACM SIGGRAPH Asia 2010 papers
Enhancing fluid animation with adaptive, controllable and intermittent turbulence
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
ACM SIGGRAPH 2011 papers
Real-time large-deformation substructuring
ACM SIGGRAPH 2011 papers
Physics-based character skinning using multi-domain subspace deformations
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Pattern-guided smoke animation with lagrangian coherent structure
Proceedings of the 2011 SIGGRAPH Asia Conference
Proceedings of the 2011 SIGGRAPH Asia Conference
Fluid simulation using Laplacian eigenfunctions
ACM Transactions on Graphics (TOG)
Rendering of 3D dynamic virtual environments
Proceedings of the 4th International ICST Conference on Simulation Tools and Techniques
Interactive spacetime control of deformable objects
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
A data-driven approach for synthesizing high-resolution animation of fire
Proceedings of the Digital Production Symposium
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Non-polynomial Galerkin projection on deforming meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Near-exhaustive precomputation of secondary cloth effects
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
An efficient construction of reduced deformable objects
ACM Transactions on Graphics (TOG)
The Visual Computer: International Journal of Computer Graphics
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We present a new approach to fluid simulation that balances the speed of model reduction with the flexibility of grid-based methods. We construct a set of composable reduced models, or tiles, which capture spatially localized fluid behavior. We then precompute coupling terms so that these models can be rearranged at runtime. To enforce consistency between tiles, we introduce constraint reduction. This technique modifies a reduced model so that a given set of linear constraints can be fulfilled. Because dynamics and constraints can be solved entirely in the reduced space, our method is extremely fast and scales to large domains.