Incompressible smoothed particle hydrodynamics

Ellero, Marco; Serrano, Mar; Español, Pep

doi:10.1016/j.jcp.2007.06.019

Cited by 100 publications

(75 citation statements)

References 18 publications

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“…For example, limiting equations have been considered by including a constrain on the density (thus changing the equations) that ensures incompressibility of the fluid [99] . Although this approach was initially proposed for SPH, it can be straighforwardly applied to the stochastic SDPD.…”

Section: ∂Sp(c)mentioning

confidence: 99%

Everything you always wanted to know about SDPD⋆ (⋆but were afraid to ask)

Ellero

Español

2017

Appl. Math. Mech.-Engl. Ed.

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Section: ∂Sp(c)mentioning

confidence: 99%

Everything you always wanted to know about SDPD⋆ (⋆but were afraid to ask)

Ellero

Español

2017

Appl. Math. Mech.-Engl. Ed.

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“…A particle volume constraint approach [29], not distant from the work presented here, uses the Shake integration method of molecular dynamics [30]. This requires nearly exact roots of the nonlinear constraint equation, using Newton-Raphson iterations.…”

Section: Related Workmentioning

confidence: 99%

Constraint Fluids

Bodin

Lacoursière

Servin

2012

IEEE Trans. Visual. Comput. Graphics

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Abstract-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 pseudo-particles 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.

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“…Other approaches towards incompressibility like PCISPH [SP09] and Incompressible SPH [ESE07] eschew the global Poisson solve and instead enforce a strict upper bound on the maximum level of compression. Both of these approaches are global iterative methods on particles for converging to rest density.…”

Section: Related Workmentioning

confidence: 99%

Hybrid smoothed particle hydrodynamics

Raveendran

Wojtan

Turk

2011

Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation

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We present a new algorithm for enforcing incompressibility for Smoothed Particle Hydrodynamics (SPH) by preserving uniform density across the domain. We propose a hybrid method that uses a Poisson solve on a coarse grid to enforce a divergence free velocity field, followed by a local density correction of the particles. This avoids typical grid artifacts and maintains the Lagrangian nature of SPH by directly transferring pressures onto particles. Our method can be easily integrated with existing SPH techniques such as the incompressible PCISPH method as well as weakly compressible SPH by adding an additional force term. We show that this hybrid method accelerates convergence towards uniform density and permits a significantly larger time step compared to earlier approaches while producing similar results. We demonstrate our approach in a variety of scenarios with significant pressure gradients such as splashing liquids.

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Incompressible smoothed particle hydrodynamics

Cited by 100 publications

References 18 publications

Everything you always wanted to know about SDPD⋆ (⋆but were afraid to ask)

Everything you always wanted to know about SDPD⋆ (⋆but were afraid to ask)

Constraint Fluids

Hybrid smoothed particle hydrodynamics

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