Realistic animation of liquids
Graphical Models and Image Processing
Journal of Computational Physics
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
A high-order Eulerian Godunov method for elastic-plastic flow in solids
Journal of Computational Physics
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
A Mathematical Introduction to Robotic Manipulation
A Mathematical Introduction to Robotic Manipulation
Journal of Computational Physics
A method for animating viscoelastic fluids
ACM SIGGRAPH 2004 Papers
Extended Galilean invariance for adaptive fluid simulation
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2006 Papers
Computation of fluid flows in non-inertial contracting, expanding, and rotating reference frames
Journal of Computational Physics
A high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
A finite element method for animating large viscoplastic flow
ACM SIGGRAPH 2007 papers
Lagrange Multiplier Approach to Variational Problems and Applications
Lagrange Multiplier Approach to Variational Problems and Applications
Fluid Simulation
Accurate viscous free surfaces for buckling, coiling, and rotating liquids
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Dynamic local remeshing for elastoplastic simulation
ACM SIGGRAPH 2010 papers
An Eulerian method for multi-component problems in non-linear elasticity with sliding interfaces
Journal of Computational Physics
Free-flowing granular materials with two-way solid coupling
ACM SIGGRAPH Asia 2010 papers
Eulerian solid simulation with contact
ACM SIGGRAPH 2011 papers
Large-scale dynamic simulation of highly constrained strands
ACM SIGGRAPH 2011 papers
Real-time large-deformation substructuring
ACM SIGGRAPH 2011 papers
Hybrid smoothed particle hydrodynamics
SCA '11 Proceedings of the 2011 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
Adaptive image-based intersection volume
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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We describe an Eulerian-on-Lagrangian solid simulator that reduces or eliminates many of the problems experienced by fully Eulerian methods but retains their advantages. Our method does not require the construction of an explicit object discretization and the fixed nature of the simulation mesh avoids tangling during large deformations. By introducing Lagrangian modes to the simulation we enable unbounded simulation domains and reduce the time-step restrictions which can plague Eulerian simulations. Our method features a new solver that can resolve contact between multiple objects while simultaneously distributing motion between the Lagrangian and Eulerian modes in a least-squares fashion. Our method successfully bridges the gap between Lagrangian and Eulerian simulation methodologies without having to abandon either one.