Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method

Lee, E. S.; Moulinec, Charles; Xu, Rui; Violeau, Damien; Laurence, Dominique; Stansby, Peter

doi:10.1016/j.jcp.2008.06.005

Cited by 497 publications

(396 citation statements)

References 24 publications

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“…The dummy particles theory of Lee et al 25 has been found to be more compatible for the simulations presented herein. Two layers of dummy particles are arranged close to each wall boundary, similar to those particles defi ned by Lee et al 25 .…”

Section: Solution Algorithmsupporting

confidence: 60%

“…The standard WCSPH suffers from pressure and density fl uctuations 25 . Fatehi and Manzari 26 showed that the velocity-pressure decoupling reduces the non-physical fl uctuations, so a pseudo-constant density algorithm is introduced to remove the density and pressure fl uctuations to improve the WCSPH.…”

Section: Solution Algorithmmentioning

confidence: 99%

“…(16) results in: (23) Then, the pressure at the next time-step according to Eq. (11) will be: (24) As such, the velocity is corrected as follows: (25) Lastly, the position vector for the particle i is rearranged as follows:…”

Section: Solution Algorithmmentioning

confidence: 99%

“…Two layers of dummy particles are arranged close to each wall boundary, similar to those particles defi ned by Lee et al 25 . These particles have the same velocity as their corresponding wall particles.…”

Section: Solution Algorithmmentioning

confidence: 99%

See 3 more Smart Citations

Lagrangian simulation and analysis of the power-law fluid mixing in the two-blade circular mixers using a modified WCSPH method

Shamsoddini

Sefid

2015

Polish Journal of Chemical Technology

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In the present study, we introduce a robust modifi ed Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) method in order to examine miscible mixing within a two-blade paddle mixer. Since it has a Lagrangian nature and it is based on particles, Smoothed Particle Hydrodynamics (SPH) is an appropriate and convenient method for simulating the moving boundary problems and tracking the particles in the mixing process. The present study thus introduces a convenient SPH method for modelling the mixing process for the power-law fl uids. Two geometries for the mixer are examined and the effects of the power-law index on the fl uid mixing are investigated. The results show that the geometric change from circular chamber to twin chamber considerably increases the mixing rate (by at least 49%). The results also indicate that the twin chamber mixer is more effi cient for the fl uids with higher power-law index.

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Section: Solution Algorithmsupporting

confidence: 60%

Section: Solution Algorithmmentioning

confidence: 99%

Section: Solution Algorithmmentioning

confidence: 99%

Section: Solution Algorithmmentioning

confidence: 99%

See 2 more Smart Citations

Lagrangian simulation and analysis of the power-law fluid mixing in the two-blade circular mixers using a modified WCSPH method

Shamsoddini

Sefid

2015

Polish Journal of Chemical Technology

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“…The 2D version 2.2 of SPHysics, which we used in a conventional SPH approach, incorporates density filtering with a Shepard filter or moving least-squares approach, non-conservative/conservative Riemann solvers for particle-particle interactions, optional time-stepping schemes, such as predictor-corrector, Verlet and Beeman schemes, and dynamic and repulsive boundary conditions. We employed SPHysics to reduce the computational cost of our fundamental test of the numerical simulation of a flood induced by driftwood accumulating at a bridge although there are, nowadays, more in-depth and up-to-date SPH methods, such as updated incompressible SPH (e.g., Lee et al 11) ) and the corrected Moving Particle Semi-implicit (MPS) method with a higher-order source term 12) . The conventional SPH method works by dividing a fluid into a set of particles based on integral interpolants (e.g., Lucy…”

Section: (2) Numerical Simulationmentioning

confidence: 99%

Simulation of Driftwood-induced Flooding during High-intensity Rainfall using Smoothed Particle Hydrodynamics Method

2014

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Worldwide climate change has resulted in severe flooding in Japan in the last decade. Some floods were likely caused by the substantial accumulation of driftwood or debris at bridges crossing rivers in mountainous areas. In this study, for a two-dimensional open channel, we conducted a laboratory experiment and numerical simulation with and without driftwood modeling to clarify the physical mechanism of a flood event resulting from driftwood accumulation at a bridge. Open-source software SPHysics, implementing a smoothed particle hydrodynamics method, was calibrated with data of the water level measured near a miniature bridge in the laboratory experiment. The simulation clearly showed that the particle-like flow was scattered by the bridge girder and dammed up by the bridge in the upstream direction. By changing the quantity of driftwood, we analyzed the effect of a flood on a bridge. For the largest quantity of driftwood, the higher pressure pushing against the bridge may damage the bridge.

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Lagrangian simulation and analysis of the micromixing phenomena in a cylindrical paddle mixer using a modified weakly compressible smoothed particle hydrodynamics method

Shamsoddini

Sefid

Fatehi

2014

Asia-Pacific J Chem Eng

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In the present study, a robust modified weakly compressible smoothed particle hydrodynamics (SPH) method is introduced in order to examine the micromixing phenomena within a cylindrical paddle mixer. Because it has a Lagrangian nature and it is based on particles, smoothed particle hydrodynamics is an appropriate and convenient method for simulating the moving boundary problems and tracking the particles in the mixing process. The present study thus introduces a convenient SPH method for modelling the mixing process. The straight and cross-shaped blades are considered, and the effects of the fixed rotation, planetary motion of the blade, and position of the blade on the mixing rate are studied.

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Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method

Cited by 497 publications

References 24 publications

Lagrangian simulation and analysis of the power-law fluid mixing in the two-blade circular mixers using a modified WCSPH method

Lagrangian simulation and analysis of the power-law fluid mixing in the two-blade circular mixers using a modified WCSPH method

Simulation of Driftwood-induced Flooding during High-intensity Rainfall using Smoothed Particle Hydrodynamics Method

Lagrangian simulation and analysis of the micromixing phenomena in a cylindrical paddle mixer using a modified weakly compressible smoothed particle hydrodynamics method

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