Hybrid smoothed particle hydrodynamics
SCA '11 Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Versatile rigid-fluid coupling for incompressible SPH
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Direct sparse factorization of blocked saddle point matrices
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume 2
Staggered meshless solid-fluid coupling
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Local Poisson SPH For Viscous Incompressible Fluids
Computer Graphics Forum
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Versatile surface tension and adhesion for SPH fluids
ACM Transactions on Graphics (TOG)
Physics-based animation of large-scale splashing liquids
ACM Transactions on Graphics (TOG)
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We present a fluid simulation method based on Smoothed Particle Hydrodynamics (SPH) in which incompressibility and boundary conditions are enforced using holonomic kinematic constraints on the density. This formulation enables systematic multiphysics integration in which interactions are modeled via similar constraints between the fluid pseudoparticles and impenetrable surfaces of other bodies. These conditions embody Archimede's principle for solids and thus buoyancy results as a direct consequence. We use a variational time stepping scheme suitable for general constrained multibody systems we call SPOOK. Each step requires the solution of only one Mixed Linear Complementarity Problem (MLCP) with very few inequalities, corresponding to solid boundary conditions. We solve this MLCP with a fast iterative method. Overall stability is vastly improved in comparison to the unconstrained version of SPH, and this allows much larger time steps, and an increase in overall performance by two orders of magnitude. Proof of concept is given for computer graphics applications and interactive simulations.