Combining physical and visual simulation—creation of the planet Jupiter for the film “2010”
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Manifolds, tensor analysis, and applications: 2nd edition
Manifolds, tensor analysis, and applications: 2nd edition
Modeling the motion of a hot, turbulent gas
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
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 simple fluid solver based on the FFT
Journal of Graphics Tools
Analysis of an exact fractional step method
Journal of Computational Physics
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
Keyframe control of smoke simulations
ACM SIGGRAPH 2003 Papers
Flows on surfaces of arbitrary topology
ACM SIGGRAPH 2003 Papers
Discrete exterior calculus
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
Modeling and editing flows using advected radial basis functions
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Controllable smoke animation with guiding objects
ACM Transactions on Graphics (TOG)
Inviscid and incompressible fluid simulation on triangle meshes: Research Articles
Computer Animation and Virtual Worlds - Special Issue: The Very Best Papers from CASA 2004
Variational tetrahedral meshing
ACM SIGGRAPH 2005 Papers
Animating gases with hybrid meshes
ACM SIGGRAPH 2005 Papers
Coupling water and smoke to thin deformable and rigid shells
ACM SIGGRAPH 2005 Papers
Discrete differential forms for computational modeling
ACM SIGGRAPH 2006 Courses
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
ACM Transactions on Graphics (TOG)
Modular bases for fluid dynamics
ACM SIGGRAPH 2009 papers
Toward Real-Time Simulation of Blood-Coil Interaction during Aneurysm Embolization
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
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Visual quality, low computational cost, and numerical stability are foremost goals in computer animation. An important ingredient in achieving these goals is the conservation of fundamental motion invariants. For example, rigid and deformable body simulation benefits greatly from conservation of linear and angular momenta. In the case of fluids, however, none of the current techniques focuses on conserving invariants, and consequently, they often introduce a visually disturbing numerical diffusion of vorticity. Visually just as important is the resolution of complex simulation domains. Doing so with regular (even if adaptive) grid techniques can be computationally delicate. In this chapter, we propose a novel technique for the simulation of fluid flows. It is designed to respect the defining differential properties, i.e., the conservation of circulation along arbitrary loops as they are transported by the flow. Consequently, our method offers several new and desirable properties: (1) arbitrary simplicial meshes (triangles in 2D, tetrahedra in 3D) can be used to define the fluid domain; (2) the computations are efficient due to discrete operators with small support; (3) the method is stable for arbitrarily large time steps; (4) it preserves discrete circulation avoiding numerical diffusion of vorticity; and (5) its implementation is straightforward.