Numerical studies to propose a ghost particle removed SPH (GR-SPH) method

Eslamian, Alireza; Khayat, Morteza

doi:10.1016/j.apm.2016.09.026

Cited by 9 publications

(4 citation statements)

References 54 publications

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“…Then the state equation (Equation (14) or (15)) will give a wrong pressure field p . The Kernel function W is corrected by applying the zero order Shepard filter: 71-73

ρ_{i}^{n e w} = \sum_{j = 1}^{N} m_{j} {\overline{W}}_{i j} with {\overline{W}}_{i j} = \frac{W_{i j}}{\sum_{j = 1}^{N} W_{i j} \frac{m_{j}}{ρ_{j}}} .

…”

Section: Sph Methodsmentioning

confidence: 99%

“…Because of the distortion of the particle distribution, the use of the kernel function W can introduce numerical oscillations in the reinitialization of the particle density new i . Then the state equation (Equation 14or (15)) will give a wrong pressure field p. The Kernel function W is corrected by applying the zero order Shepard filter: [71][72][73]…”

Section: Density Reinitializationmentioning

confidence: 99%

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Optimized incompressible smoothed particle hydrodynamics methods and validations

Ortega¹,

Beaudoin²,

Huberson³

2020

Numerical Methods in Fluids

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The solution of the Poisson's equation used by the incompressible smoothed particle hydrodynamics (ISPH) methods for estimating the pressure field is expensive in CPU time. The CPU time, consumed by the inversion of the operator ∇(1∕ ∇) and the estimation of the right hand side of the Poisson's equation, increases with the number N of particles used in a purely Lagrangian framework. In this work, this default of ISPH methods is overcome by solving the Poisson's equation on a Cartesian grid. This SPH-mesh coupling is equivalent to the particle in cell method. In a first step, in order to analyze its efficiency, the optimized version of two ISPH methods (divergence free and density invariant) is compared with the standard weakly compressible SPH method through two benchmarks of incompressible bidimensional flows characterized by the Reynolds number Re, Lamb-Oseen vortex (10 ≤ Re ≤ 100) and lid-driven cavity flow (100 ≤ Re ≤ 1000). In a second step, the numerical results obtained by the three SPH methods are compared to laboratory experimental data of a dam break flow in order to show the performance of the SPH-mesh coupling in a practical and complex flow problem. As in the configuration of the experimental setup, the numerical results are obtained for a Reynolds number Re = 3.8 10 6 .

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“…Then the state equation (Equation (14) or (15)) will give a wrong pressure field p . The Kernel function W is corrected by applying the zero order Shepard filter: 71-73

ρ_{i}^{n e w} = \sum_{j = 1}^{N} m_{j} {\overline{W}}_{i j} with {\overline{W}}_{i j} = \frac{W_{i j}}{\sum_{j = 1}^{N} W_{i j} \frac{m_{j}}{ρ_{j}}} .

…”

Section: Sph Methodsmentioning

confidence: 99%

Section: Density Reinitializationmentioning

confidence: 99%

Optimized incompressible smoothed particle hydrodynamics methods and validations

Ortega¹,

Beaudoin²,

Huberson³

2020

Numerical Methods in Fluids

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“…The coupling force is added to the two frameworks in each time step as an additional term. The iterative time step selection is unified according to the following: √ 𝜌 DEM 𝐺 (30) where h is the smoothing length; ν is the kinematic viscosity (1.0×10 −6 m 2 /s for water); a i is the maximum acceleration of fluid particles; CFL is the Courant-Friedrichs-Lewy number (CFL = 0.25 in this study); c 0 is the maximum sound speed of fluid particles; R min is the minimum radius of DEM particles; ν is the Poisson's ratio; G is the shear modulus.…”

Section: Coupling Algorithmmentioning

confidence: 99%

“…The SPH smoothing length is set to 1.5 times the initial particle spacing which equals the initial particle size. The water density is 1000 kg/m 3 , the viscosity coefficient is 0.001 Pa⋅s, the gravity acceleration is 9.8 N/kg, and the timestep is determined according to Equation (30).…”

Section: Sensitivity Analysismentioning

confidence: 99%

An optimized DEM‐SPH model for surge waves induced by riverside landslides

Li,

Liu,

Yang

et al. 2023

Num Anal Meth Geomechanics

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Riverside landslides can induce surge waves during the process of entering water. The landslide‐induced surge wave is often regarded as a significant secondary disaster, as its impact region is likely to be even more remarkable than the landslide itself. Due to the large deformation of the soil landslide and water body during the evolution of surge waves, commonly adopted multi‐phase flow models and mesh‐based methods coupled with discrete element models have some limitations, such as weak accuracy, and simulation distortion with immature coupling algorithms. As a result, the pure meshless method of smoothed particle hydrodynamics (SPH) coupling discrete element methods (DEM) become promising. Modified from the traditional empirical formulae‐based coupling algorithm, this study proposes a semi‐resolved algorithm that effectively eliminates the particle distortion at the fluid‐solid coupling interface. The proposed model demonstrates its superiority through a comparison of the pressure and porosity near the coupling interface. Furthermore, the optimized DEM‐SPH model is applied to simulate landslide‐induced surge waves, and the simulation results have also validated the accuracy of the model. This model is capable of accurately simulating the entire propagation process from landslide entry into water to the wave reaching the opposite shore, and therefore provides an effective tool for the prediction and mitigation of wave hazards caused by landslides.

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On the boundary conditions in Lagrangian particle methods and the physical foundations of continuum mechanics

Filho

2018

Continuum Mech. Thermodyn.

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Numerical studies to propose a ghost particle removed SPH (GR-SPH) method

Cited by 9 publications

References 54 publications

Optimized incompressible smoothed particle hydrodynamics methods and validations

Optimized incompressible smoothed particle hydrodynamics methods and validations

An optimized DEM‐SPH model for surge waves induced by riverside landslides

On the boundary conditions in Lagrangian particle methods and the physical foundations of continuum mechanics

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