Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach

Xu, Rui; Stansby, Peter; Laurence, Dominique

doi:10.1016/j.jcp.2009.05.032

Cited by 551 publications

(417 citation statements)

References 25 publications

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“…However, this method generally performs quite well for the solitary wave condition due to its ordered motion of the fluid particles during the single wave event. For the periodic waves, however, other types of models or more advanced source term treatments should be considered, such as documented by Hu and Adams (2007), Xu et al (2009) and Khayyer and Gotoh (2011).…”

Section: Solution Proceduresmentioning

confidence: 99%

Incompressible SPH simulation of wave interaction with porous structure

et al. 2015

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In this paper an incompressible Smoothed Particle Hydrodynamics (ISPH) method is applied to investigate the flow motion in and around the porous structure. In order to describe in a simple and effective way the flow through the interface between the porous region and pure fluid region within the SPH framework, a heuristic boundary treatment method has been proposed. The ISPH model is first verified against a theoretical model of wave propagation over a porous bed and then further validated by comparing the predicted wave surface profiles and flow velocity fields with the experiment data for a typical case of flow motion around and inside a submerged porous structure. The good agreement has demonstrated that the improved ISPH model developed in this work is capable of modelling wave interaction with porous structures.

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Section: Solution Proceduresmentioning

confidence: 99%

Incompressible SPH simulation of wave interaction with porous structure

et al. 2015

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“…We additionally use the particle shifting technique (ISPH_DFS) from Xu et al (2009). The shifting was implemented at the end of the time step to overcome tensile instabilities which could for instance occur from a homogeneous Cartesian initial particle distribution or the change in interfacial area.…”

Section: Incompressibility Treatment and Time Integrationmentioning

confidence: 99%

“…The shifting was implemented at the end of the time step to overcome tensile instabilities which could for instance occur from a homogeneous Cartesian initial particle distribution or the change in interfacial area. The integration scheme can be found in the work of Xu et al (2009). …”

Section: Incompressibility Treatment and Time Integrationmentioning

confidence: 99%

Study of Multi-phase Flow in Porous Media: Comparison of SPH Simulations with Micro-model Experiments

et al. 2015

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We present simulations and experiments of drainage processes in a micro-model. A direct numerical simulation is introduced which is capable of describing wetting phenomena on the pore scale. A numerical smoothed particle hydrodynamics model was developed and used to simulate the two-phase flow of immiscible fluids. The experiments were performed in a micro-model which allows the visualization of interface propagation in detail. We compare the experiments and simulations of a quasistatic drainage process and pure dynamic drainage processes. For both, simulation and experiment, the interfacial area and the pressure at the inflow and outflow are tracked. The capillary pressure during the dynamic drainage process was determined by image analysis.

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“…(26) After fl uid fl ow determination, the mass transport equation (concentration) is solved as follows: (27) The time step ( ) is calculated as (28) where β t is a constant coeffi cient between 0 and 1, δ min is the minimum distance between two neighbouring particles, and V max is the maximum velocity magnitude of the particles. The boundary conditions that dominate the wall boundaries are the no slip condition for velocity and Neumann boundary conditions for mass diffusion.…”

Section: Solution Algorithmmentioning

confidence: 99%

“…Defects, tensile instability, and particle clustering are complications in SPH simulations. To avoid these unfavourable phenomena, a shifting algorithm similar to the particle shifting approach of Xu et al 27 was applied in the present study.…”

Section: Solution Algorithmmentioning

confidence: 99%

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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Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach

Cited by 551 publications

References 25 publications

Incompressible SPH simulation of wave interaction with porous structure

Incompressible SPH simulation of wave interaction with porous structure

Study of Multi-phase Flow in Porous Media: Comparison of SPH Simulations with Micro-model Experiments

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

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