Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Rapid, stable fluid dynamics for computer graphics
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Realistic animation of liquids
GI '96 Proceedings of the conference on Graphics interface '96
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
Practical animation of liquids
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
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
Coupling water and smoke to thin deformable and rigid shells
ACM SIGGRAPH 2005 Papers
Model reduction for real-time fluids
ACM SIGGRAPH 2006 Papers
Practical simulation of surface tension flows
SIGGRAPH '04 ACM SIGGRAPH 2004 Sketches
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Solving general shallow wave equations on surfaces
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
ACM SIGGRAPH 2007 papers
Simulation of bubbles in foam with the volume control method
ACM SIGGRAPH 2007 papers
A fast variational framework for accurate solid-fluid coupling
ACM SIGGRAPH 2007 papers
Generalized surface flows for mesh processing
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Two-way coupling of fluids to rigid and deformable solids and shells
ACM SIGGRAPH 2008 papers
An Unconditionally Stable MacCormack Method
Journal of Scientific Computing
Fluid Simulation
Deforming meshes that split and merge
ACM SIGGRAPH 2009 papers
Fast and robust tracking of fluid surfaces
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A Stable and Efficient Method for Treating Surface Tension in Incompressible Two-Phase Flow
SIAM Journal on Scientific Computing
Physics-inspired topology changes for thin fluid features
ACM SIGGRAPH 2010 papers
Multi-phase fluid simulations using regional level sets
ACM SIGGRAPH Asia 2010 papers
Liquid simulation with mesh-based surface tracking
ACM SIGGRAPH 2011 Courses
Detail-preserving rendering of free surface fluid with Lattice Boltzmann
Transactions on edutainment VI
Journal of Computational Physics
Topology-adaptive interface tracking using the deformable simplicial complex
ACM Transactions on Graphics (TOG)
Tracking surfaces with evolving topology
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Animating bubble interactions in a liquid foam
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Explicit Mesh Surfaces for Particle Based Fluids
Computer Graphics Forum
Smoke sheets for graph-structured vortex filaments
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Multiphase flow of immiscible fluids on unstructured moving meshes
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Controlling liquids using meshes
EUROSCA'12 Proceedings of the 11th ACM SIGGRAPH / Eurographics conference on Computer Animation
Smoke sheets for graph-structured vortex filaments
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Multiphase flow of immiscible fluids on unstructured moving meshes
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Controlling liquids using meshes
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Closest point turbulence for liquid surfaces
ACM Transactions on Graphics (TOG)
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
Liquid surface tracking with error compensation
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Versatile surface tension and adhesion for SPH fluids
ACM Transactions on Graphics (TOG)
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We present an approach to simulate flows driven by surface tension based on triangle meshes. Our method consists of two simulation layers: the first layer is an Eulerian method for simulating surface tension forces that is free from typical strict time step constraints. The second simulation layer is a Lagrangian finite element method that simulates sub-grid scale wave details on the fluid surface. The surface wave simulation employs an unconditionally stable, symplectic time integration method that allows for a high propagation speed due to strong surface tension. Our approach can naturally separate the grid- and sub-grid scales based on a volume-preserving mean curvature flow. As our model for the sub-grid dynamics enforces a local conservation of mass, it leads to realistic pinch off and merging effects. In addition to this method for simulating dynamic surface tension effects, we also present an efficient non-oscillatory approximation for capturing damped surface tension behavior. These approaches allow us to efficiently simulate complex phenomena associated with strong surface tension, such as Rayleigh-Plateau instabilities and crown splashes, in a short amount of time.