Particle Based Fluids and Solids

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Particle-based models of fluids and deformable solids are attractive from a computational modeling perspective. The macroscopic dynamics emerges as the collective behavior of the manybody particle system.

Constraint Fluids Particle-Based Solid Applications
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We study meshfree computational methods, such as the smooth particle hydrodynamics (SPH) and moving least squares (MLS), for simulating ideal and complex fluids, and deformable solids.

The results include a unified constraint-based formulation, with particle-based fluids/solids and rigid multibodies for articulated mechanical systems, that allows strongly coupled simulation with large time-steps using parallel direct, iterative and hybrid solvers for the corresponding mixed complementarity problems.


J. Nordberg and M. Servin. Particle based solid for nonsmooth multidomain dynamics. Computational Particle Mechanics (2017). doi:10.1007/s40571-017-0158-3 pdf videos

K. Bodin, C. Lacoursière, and M. Servin. Constraint fluids. IEEE Transactions on Visualization and Computer Graphics, Vol pp, Issue 99. 2011. IEEE computer Society Digital Library. IEEE Computer Society, <>, pdf, web

C. Lacoursière, M. Servin, and A. Backman. Fast and stable simulation of granular matter and machines. DEM5 - The Fifth International Conference on Discrete Element Methods, 25-26, London, United Kingdom,(2010). pdf, web

K. Bodin, C. Lacoursière, and M. Servin. Method for simulating dynamic incompressible fluids using particle based spatial discretization and mass density constraints. Registered U.S. and European patent, US patent ID 61/183566 (2009).

M. Servin, C. Lacoursière, and N. Melin. Interactive simulation of elastic deformable materials. SIGRAD 2006 Conference Proceedings, Skövde, Sweden, (2006), ISBN 91-85643-17-3. pdf


The constraint fluid technology has been patented and implemented in software at Algoryx Simulation.