A comparison of tetrahedron quality measures
Finite Elements in Analysis and Design
Realistic animation of liquids
Graphical Models and Image Processing
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
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Animating gases with hybrid meshes
ACM SIGGRAPH 2005 Papers
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Fluid animation with dynamic meshes
ACM SIGGRAPH 2006 Papers
Stable, circulation-preserving, simplicial fluids
ACM Transactions on Graphics (TOG)
Simultaneous coupling of fluids and deformable bodies
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Finite volume flow simulations on arbitrary domains
Graphical Models
Liquid simulation on lattice-based tetrahedral meshes
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
A finite element method for animating large viscoplastic flow
ACM SIGGRAPH 2007 papers
A fast variational framework for accurate solid-fluid coupling
ACM SIGGRAPH 2007 papers
Fast viscoelastic behavior with thin features
ACM SIGGRAPH 2008 papers
Fluid Simulation
Accurate viscous free surfaces for buckling, coiling, and rotating liquids
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
Dynamic local remeshing for elastoplastic simulation
ACM SIGGRAPH 2010 papers
Topology-adaptive interface tracking using the deformable simplicial complex
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
Multiphase flow of immiscible fluids on unstructured moving meshes
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Multiphase flow of immiscible fluids on unstructured moving meshes
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
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We present the mathematical foundation of a fluid animation method for unstructured meshes. Key contributions not previously treated are the extension to include diffusion forces and higher order terms of non-linear force approximations. In our discretization we apply a fractional step method to be able to handle advection in a numerically simple Lagrangian approach. Following this a finite element method is used for the remaining terms of the fractional step method. The key to deriving a discretization for the diffusion forces lies in restating the momentum equations in terms of a Newtonian stress tensor. Rather than applying a straightforward temporal finite difference method followed by a projection method to enforce incompressibility as done in the stable fluids method, the last step of the fractional step method is rewritten as an optimization problem to make it easy to incorporate non-linear force terms such as surface tension.