Turbulent wind fields for gaseous phenomena
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Realistic animation of liquids
Graphical Models and Image Processing
Smoothed particles: a new paradigm for animating highly deformable bodies
Proceedings of the Eurographics workshop on Computer animation and simulation '96
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A simple fluid solver based on the FFT
Journal of Graphics Tools
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
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
ACM SIGGRAPH 2005 Papers
Vortex fluid for gaseous phenomena
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Model reduction for real-time fluids
ACM SIGGRAPH 2006 Papers
Stable, circulation-preserving, simplicial fluids
ACM Transactions on Graphics (TOG)
Discrete differential forms for computational modeling
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A controllable, fast and stable basis for vortex based smoke simulation
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Curl-noise for procedural fluid flow
ACM SIGGRAPH 2007 papers
Adaptively sampled particle fluids
ACM SIGGRAPH 2007 papers
Backward steps in rigid body simulation
ACM SIGGRAPH 2008 papers
An Unconditionally Stable MacCormack Method
Journal of Scientific Computing
Energy-preserving integrators for fluid animation
ACM SIGGRAPH 2009 papers
Modular bases for fluid dynamics
ACM SIGGRAPH 2009 papers
Deformable object animation using reduced optimal control
ACM SIGGRAPH 2009 papers
A novel algorithm for incompressible flow using only a coarse grid projection
ACM SIGGRAPH 2010 papers
Filament-based smoke with vortex shedding and variational reconnection
ACM SIGGRAPH 2010 papers
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
Generating flow fields variations by modulating amplitude and resizing simulation space
SIGGRAPH Asia 2013 Technical Briefs
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We present an algorithm for the simulation of incompressible fluid phenomena that is computationally efficient and leads to visually convincing simulations with far fewer degrees of freedom than existing approaches. Rather than using an Eulerian grid or Lagrangian elements, we represent vorticity and velocity using a basis of global functions defined over the entire simulation domain. We show that choosing Laplacian eigenfunctions for this basis provides benefits, including correspondence with spatial scales of vorticity and precise energy control at each scale. We perform Galerkin projection of the Navier-Stokes equations to derive a time evolution equation in the space of basis coefficients. Our method admits closed-form solutions on simple domains but can also be implemented efficiently on arbitrary meshes.