Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Tree methods for moving interfaces
Journal of Computational Physics
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Animation and rendering of complex water surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Journal of Computational Physics
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
A vortex particle method for smoke, water and explosions
ACM SIGGRAPH 2005 Papers
Efficient simulation of large bodies of water by coupling two and three dimensional techniques
ACM SIGGRAPH 2006 Papers
Advections with Significantly Reduced Dissipation and Diffusion
IEEE Transactions on Visualization and Computer Graphics
Journal of Computational Physics
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
FlowFixer: using BFECC for fluid simulation
NPH'05 Proceedings of the First Eurographics conference on Natural Phenomena
Wrinkled flames and cellular patterns
ACM SIGGRAPH 2007 papers
Simulation of bubbles in foam with the volume control method
ACM SIGGRAPH 2007 papers
Wavelet turbulence for fluid simulation
ACM SIGGRAPH 2008 papers
Real-time control of physically based simulations using gentle forces
ACM SIGGRAPH Asia 2008 papers
Fast animation of turbulence using energy transport and procedural synthesis
ACM SIGGRAPH Asia 2008 papers
Real-time fluid simulation using discrete sine/cosine transforms
Proceedings of the 2009 symposium on Interactive 3D graphics and games
Real-time simulation of 3D smoke on GPU
CISST'09 Proceedings of the 3rd WSEAS international conference on Circuits, systems, signal and telecommunications
Energy-preserving integrators for fluid animation
ACM SIGGRAPH 2009 papers
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
Real-time simulation of 3D smoke based on Navier-Stokes equation
WSEAS Transactions on Computers
AtelierM++: a fast and accurate marbling system
Multimedia Tools and Applications
Stretching and wiggling liquids
ACM SIGGRAPH Asia 2009 papers
Synthetic turbulence using artificial boundary layers
ACM SIGGRAPH Asia 2009 papers
Interactive terrain modeling using hydraulic erosion
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Interactive fluid-particle simulation using translating Eulerian grids
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
A multiscale approach to mesh-based surface tension flows
ACM SIGGRAPH 2010 papers
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
Detail-preserving fully-Eulerian interface tracking framework
ACM SIGGRAPH Asia 2010 papers
Real-time simulation of large bodies of water with small scale details
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Practical animation of compressible flow for shock waves and related phenomena
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A symmetric positive definite formulation for monolithic fluid structure interaction
Journal of Computational Physics
An unconditionally stable fully conservative semi-Lagrangian method
Journal of Computational Physics
Real-time Eulerian water simulation using a restricted tall cell grid
ACM SIGGRAPH 2011 papers
Mass and momentum conservation for fluid simulation
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
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
Simulating massive dust in Megamind
ACM SIGGRAPH 2011 Talks
A novel method for large crowd flow
Transactions on edutainment VI
Fluid simulation using Laplacian eigenfunctions
ACM Transactions on Graphics (TOG)
Screen space animation of fire
SIGGRAPH Asia 2011 Sketches
Enhanced view-dependent adaptive grid refinement for animating fluids
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Lagrangian vortex sheets for animating fluids
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Large-scale fluid simulation using velocity-vorticity domain decomposition
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Scalable fluid simulation in linear time on shared memory multiprocessors
Proceedings of the Digital Production Symposium
Dynamic grid refinement for fluid simulations on parallel graphics architectures
EG PGV'09 Proceedings of the 9th Eurographics conference on Parallel Graphics and Visualization
Linear-time smoke animation with vortex sheet meshes
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Mass-conserving eulerian liquid simulation
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Linear-time smoke animation with vortex sheet meshes
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Mass-conserving eulerian liquid simulation
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Closest point turbulence for liquid surfaces
ACM Transactions on Graphics (TOG)
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
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
A hybrid Lagrangian-Eulerian formulation for bubble generation and dynamics
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Spatio-temporal extrapolation for fluid animation
ACM Transactions on Graphics (TOG)
The Visual Computer: International Journal of Computer Graphics
An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids
Journal of Computational Physics
Visual simulation of turbulent fluids using MLS interpolation profiles
The Visual Computer: International Journal of Computer Graphics
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The back and forth error compensation and correction (BFECC) method advects the solution forward and then backward in time. The result is compared to the original data to estimate the error. Although inappropriate for parabolic and other non-reversible partial differential equations, it is useful for often troublesome advection terms. The error estimate is used to correct the data before advection raising the method to second order accuracy, even though each individual step is only first order accurate. In this paper, we rewrite the MacCormack method to illustrate that it estimates the error in the same exact fashion as BFECC. The difference is that the MacCormack method uses this error estimate to correct the already computed forward advected data. Thus, it does not require the third advection step in BFECC reducing the cost of the method while still obtaining second order accuracy in space and time. Recent work replaced each of the three BFECC advection steps with a simple first order accurate unconditionally stable semi-Lagrangian method yielding a second order accurate unconditionally stable BFECC scheme. We use a similar approach to create a second order accurate unconditionally stable MacCormack method.