FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
Journal of Computational Physics
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
Conservation properties of unstructured staggered mesh schemes
Journal of Computational Physics
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Journal of Computational Physics
Animating suspended particle explosions
ACM SIGGRAPH 2003 Papers
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
A numerical method for large-eddy simulation in complex geometries
Journal of Computational Physics
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
Discrete geometric mechanics for variational time integrators
ACM SIGGRAPH 2006 Courses
Advections with Significantly Reduced Dissipation and Diffusion
IEEE Transactions on Visualization and Computer Graphics
Stable, circulation-preserving, simplicial fluids
ACM Transactions on Graphics (TOG)
Liquid simulation on lattice-based tetrahedral meshes
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
TRACKS: toward directable thin shells
ACM SIGGRAPH 2007 papers
An Unconditionally Stable MacCormack Method
Journal of Scientific Computing
Time-reversibility of the Euler equations as a benchmark for energy conserving schemes
Journal of Computational Physics
Evolving sub-grid turbulence for smoke animation
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Low viscosity flow simulations for animation
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Guiding of smoke animations through variational coupling of simulations at different resolutions
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Synthetic turbulence using artificial boundary layers
ACM SIGGRAPH Asia 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
Scalable fluid simulation using anisotropic turbulence particles
ACM SIGGRAPH Asia 2010 papers
Multi-phase fluid simulations using regional level sets
ACM SIGGRAPH Asia 2010 papers
A parallel multigrid Poisson solver for fluids simulation on large grids
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Enhancing fluid animation with adaptive, controllable and intermittent turbulence
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Mass and momentum conservation for fluid simulation
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
Asynchronous integration with phantom meshes
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Element-wise mixed implicit-explicit integration for stable dynamic simulation of deformable objects
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
Fluid simulation using Laplacian eigenfunctions
ACM Transactions on Graphics (TOG)
Lagrangian vortex sheets for animating fluids
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
Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations
Journal of Computational Physics
Highly adaptive liquid simulations on tetrahedral meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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
Spatio-temporal extrapolation for fluid animation
ACM Transactions on Graphics (TOG)
The Visual Computer: International Journal of Computer Graphics
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Numerical viscosity has long been a problem in fluid animation. Existing methods suffer from intrinsic artificial dissipation and often apply complicated computational mechanisms to combat such effects. Consequently, dissipative behavior cannot be controlled or modeled explicitly in a manner independent of time step size, complicating the use of coarse previews and adaptive-time stepping methods. This paper proposes simple, unconditionally stable, fully Eulerian integration schemes with no numerical viscosity that are capable of maintaining the liveliness of fluid motion without recourse to corrective devices. Pressure and fluxes are solved efficiently and simultaneously in a time-reversible manner on simplicial grids, and the energy is preserved exactly over long time scales in the case of inviscid fluids. These integrators can be viewed as an extension of the classical energy-preserving Harlow-Welch / Crank-Nicolson scheme to simplicial grids.