A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
Journal of Computational Physics
Smoothed particles: a new paradigm for animating highly deformable bodies
Proceedings of the Eurographics workshop on Computer animation and simulation '96
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
Proceedings of the 26th 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
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
Directable photorealistic liquids
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Extended Galilean invariance for adaptive fluid simulation
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
Fluid animation with dynamic meshes
ACM SIGGRAPH 2006 Papers
Fluid simulation via disjoint translating grids
SIGGRAPH '05 ACM SIGGRAPH 2005 Sketches
Liquid simulation on lattice-based tetrahedral meshes
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Isosurface stuffing: fast tetrahedral meshes with good dihedral angles
ACM SIGGRAPH 2007 papers
Two-way coupling of fluids to rigid and deformable solids and shells
ACM SIGGRAPH 2008 papers
A point-based method for animating incompressible flow
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Interactive fluid-particle simulation using translating Eulerian grids
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
Matching fluid simulation elements to surface geometry and topology
ACM SIGGRAPH 2010 papers
A symmetric positive definite formulation for monolithic fluid structure interaction
Journal of Computational Physics
Journal of Computational Physics
Large-scale fluid simulation using velocity-vorticity domain decomposition
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
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We introduce a new method for large scale water simulation using Chimera grid embedding, which discretizes space with overlapping Cartesian grids that translate and rotate in order to decompose the domain into different regions of interest with varying spatial resolutions. Grids can track both fluid features and solid objects, allowing for dynamic spatial adaptivity without remeshing or repartitioning the domain. We solve the inviscid incompressible Navier-Stokes equations with an arbitrary-Lagrangian-Eulerian style semi-Lagrangian advection scheme and a monolithic SPD Poisson solver. We modify the particle level set method in order to adapt it to Chimera grids including particle treatment across grid boundaries with disparate cell sizes, and strategies to deal with locality in the implementation of the level set and fast marching algorithms. We use a local Voronoi mesh construction to solve for pressure and address a number of issues that arise with the treatment of the velocity near the interface. The resulting method is highly scalable on distributed parallel architectures with minimal communication costs.