Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Simulating free surface flows with SPH
Journal of Computational Physics
Modeling low Reynolds number incompressible flows using SPH
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
Journal of Computational Physics
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
A hybrid particle-mesh method for viscous, incompressible, multiphase flows
Journal of Computational Physics
Particle-based fluid-fluid interaction
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
A unified particle model for fluid–solid interactions: Research Articles
Computer Animation and Virtual Worlds
Weakly compressible SPH for free surface flows
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Adaptively sampled particle fluids
ACM SIGGRAPH 2007 papers
An incompressible multi-phase SPH method
Journal of Computational Physics
Porous flow in particle-based fluid simulations
ACM SIGGRAPH 2008 papers
Two-Way Coupled SPH and Particle Level Set Fluid Simulation
IEEE Transactions on Visualization and Computer Graphics
Predictive-corrective incompressible SPH
ACM SIGGRAPH 2009 papers
Pressure corrected SPH for fluid animation
Computer Animation and Virtual Worlds - CASA' 2009 Special Issue
A point-based method for animating incompressible flow
Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
On the partial difference equations of mathematical physics
IBM Journal of Research and Development
Hybrid smoothed particle hydrodynamics
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
IEEE Transactions on Visualization and Computer Graphics
A unified lagrangian approach to solid-fluid animation
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Staggered meshless solid-fluid coupling
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
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Enforcing fluid incompressibility is one of the time-consuming aspects in SPH. In this paper, we present a local Poisson SPH (LPSPH) method to solve incompressibility for particle based fluid simulation. Considering the pressure Poisson equation, we first convert it into an integral form, and then apply a discretization to convert the continuous integral equation to a discretized summation over all the particles in the local pressure integration domain determined by the local geometry. To control the approximation error, we further integrate our local pressure solver into the predictive-corrective framework to avoid the computational cost of solving a pressure Poisson equation globally. Our method can effectively eliminate the large density deviations mainly caused by the solid boundary treatment and free surface topological change, and show advantage of a higher convergence rate over the predictive-corrective incompressible SPH (PCISPH). © 2012 Wiley Periodicals, Inc.