Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface

Shao, Songdong; Lo, Edmond Yat-Man

doi:10.1016/s0309-1708(03)00030-7

Cited by 878 publications

(660 citation statements)

References 15 publications

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“…The subscript p in p u has been dropped for the simplicity. The pressure is calculated by the classical pressure Poisson equation based on the relative density variance as follows (Shao and Lo, 2003):…”

Section: Solution Proceduresmentioning

confidence: 99%

“…Due to the high sensitivity of pressure to the particle disorders, the Laplacian in the pressure Poisson equation is formulated through a hybrid of the standard SPH first-order derivative plus a first-order finite difference scheme as (Shao and Lo, 2003) …”

Section: Sph Formulasmentioning

confidence: 99%

“…So the free surface particles can be easily identified by the particle density that drops sharply (Shao and Lo, 2003) due to the truncated support zone of the kernel. According to common computational experience, if the density drop of a particle is below 1% ~ 10% of the reference value, it can be regarded as a surface particle.…”

Section: Free Surface Boundarymentioning

confidence: 99%

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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%

Section: Sph Formulasmentioning

confidence: 99%

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Incompressible SPH simulation of wave interaction with porous structure

et al. 2015

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“…In fact, Shao and Lo (2003) , Huang et al (2009) , Huang et al (2015 , and Liang and He (2014) have already applied SPH to simulate the large deformation process using the non-Newtonian fluid model. Bui et al (2008) first succeeded in simulating elasto-plastic soil behavior using SPH.…”

Section: Model For Soilmentioning

confidence: 99%

Numerical simulation of landslide-generated waves using a soil–water coupling smoothed particle hydrodynamics model

Shi

et al. 2016

Advances in Water Resources

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“…(4). They could remain either fixed at their initial positions (Shao and Lo, 2003;Crespo et al, 2007), or move with the velocity extrapolated from the inner fluid particles (Cummins and Rudman, 1999). In this paper, the solid boundaries are treated by following Shao and Lo (2003).…”

Section: Solid Boundary Conditionmentioning

confidence: 99%

SPH modeling of tidal bore scenarios

Liu

Shao

et al. 2014

Nat Hazards

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The paper presented a Smoothed Particle Hydrodynamics (SPH) method to study the three-dimensional (3D) tidal bore scenarios. The SPH method is a mesh free particle modeling technique that can track the large deformation of free surfaces in a straightforward and accurate way. Two benchmark cases of the tidal bore propagation were computed and compared with the experimental results. The first one is related to the undular and breaking bores in a regular open channel and the second one considers the undular bore passing through the contraction of bridge piers. Physical laboratory experiments have also been carried out to validate the numerical investigations. The comparisons of both the free-surface profile and velocity field demonstrated that the SPH technique could provide a very promising tool to simulate tidal bore phenomena in engineering practice. The work is the first to systematically explore the potentials of mesh-free SPH modeling approach in predicting the tidal bore features under 3D flow conditions.

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Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface

Cited by 878 publications

References 15 publications

Incompressible SPH simulation of wave interaction with porous structure

Incompressible SPH simulation of wave interaction with porous structure

Numerical simulation of landslide-generated waves using a soil–water coupling smoothed particle hydrodynamics model

SPH modeling of tidal bore scenarios

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