ICCM Conferences, The 7th International Conference on Computational Methods (ICCM2016)

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Keynote: Projection-based particle methods - latest achievements and future perspectives
Abbas Khayyer, Hitoshi Gotoh

Last modified: 2016-06-13


Projection-based particle methods, including Incompressible SPH (ISPH) and MPS methods, are founded on Helmholtz decomposition of an intermediate velocity vector field into a solenoidal (divergence-free) one and an irrotational (curl-free) one. These methods  potentially result in accurate solutions to the continuity and Navier-Stokes equations, especially in terms of pressure calculation and volume conservation. In particular, the prediction-correction feature of projection-based particle methods provides the opportunity for numerical error minimization through the application of, for instance, error mitigating functions in the source term of the Poisson Pressure Equation (PPE) [1, 2]. This paper aims at illustrating a concise summary of the latest achievements made in the field of projection-based particle methods, as well as some future perspectives.

The latest achievements made in the field of projection-based particle methods correspond to enhancements of stability, accuracy, boundary conditions, energy conservation and enhanced simulations of multiphase flows, fluid-structure interactions, etc. In this extended abstract, these achievements will be briefly illustrated. More detailed explanations will be presented in the full paper.


Particle Methods, Projection Methods, Incompressible SPH, MPS, stability, accuracy, conservation

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