Local uniform stencil (LUST) boundary condition for arbitrary 3-D boundaries in parallel smoothed particle hydrodynamics (SPH) models

Fourtakas, Georgios; Domínguez, José Manuel; Vacondio, Renato; Rogers, Benedict D.

doi:10.1016/j.compfluid.2019.06.009

Cited by 129 publications

(46 citation statements)

References 47 publications

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“…However, Green and Peiró [45] have recently been able to carry out long and accurate simulations of flows inside tanks by using fixed/prescribed motion dummy particles developed by Adami et al [1], and by performing a good selection of simulation parameters. Extending flow fields outside of the boundaries to force BCs has been recently investigated by Fourtakas et al [38]. They claim their locally uniform stencil-based formulation is able to model solid boundary conditions in complex 2-D and 3-D geometries, with improvements over existing techniques based on dummy particles (e.g.…”

Section: Grand Challenge 2: Boundary Conditions (Souto-iglesias)mentioning

confidence: 99%

Grand challenges for Smoothed Particle Hydrodynamics numerical schemes

Vacondio

Altomare

Leffe³

et al. 2020

Comp. Part. Mech.

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147

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This paper presents a brief review of grand challenges of Smoothed Particle Hydrodynamics (SPH) method. As a meshless method, SPH can simulate a large range of applications from astrophysics to free-surface flows, to complex mixing problems in industry and has had notable successes. As a young computational method, the SPH method still requires development to address important elements which prevent more widespread use. This effort has been led by members of the SPH rEsearch and engineeRing International Community (SPHERIC) who have identified SPH Grand Challenges. The SPHERIC SPH Grand Challenges (GCs) have been grouped into 5 categories: (GC1) convergence, consistency and stability, (GC2) boundary conditions, (GC3) adaptivity, (GC4) coupling to other models, and (GC5) applicability to industry. The SPH Grand Challenges have been formulated to focus the attention and activities of researchers, developers, and users around the world. The status of each SPH Grand Challenge is presented in this paper with a discussion on the areas for future development.

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Section: Grand Challenge 2: Boundary Conditions (Souto-iglesias)mentioning

confidence: 99%

Grand challenges for Smoothed Particle Hydrodynamics numerical schemes

Vacondio

Altomare

Leffe³

et al. 2020

Comp. Part. Mech.

Self Cite

147

View full text Add to dashboard Cite

show abstract

“…In the SPH methods, the wall boundary treatment techniques can be classified in three families: repulsive particle techniques, ghost particle techniques, and boundary integral techniques. 59 The first techniques, introduced by Monaghan 9 and Monaghan and Kajtar, 60 represent the walls by particles exerting a repulsive force similar to a Leonard-Jones potential force on fluid particles. Although irregular geometries can be easily discretized with these techniques in 2D and 3D, the wall boundary conditions are not correctly satisfied and the kernel truncation near walls is not explicitly treated.…”

Section: Wall Boundary Treatmentmentioning

confidence: 99%

“…Although irregular geometries can be easily discretized with these techniques in 2D and 3D, the wall boundary conditions are not correctly satisfied and the kernel truncation near walls is not explicitly treated. 59 The second techniques, introduced by Libersjky et al 61 and Randles and Libersky, 62 represent the walls by ghost particles. The ghost particles are made by taking the mirror of fluid particles near walls.…”

Section: Wall Boundary Treatmentmentioning

confidence: 99%

“…The default of these techniques is that the 3D extension is always a challenge. 59 The last techniques, introduced by Kulasegaram et al, 63 are based on an approximation to the surface integral to account for the truncated kernel. This introduces a correction factor into the SPH summations and additional terms in the conservation equations to enforce the wall boundary conditions.…”

Section: Wall Boundary Treatmentmentioning

confidence: 99%

“…As for the ghost particle techniques, the 3D extension is again a challenge. 59 In 2012, Shao et al have proposed to couple the repulsive and ghost particle techniques in order to take the advantages of these two techniques. This technique is called a coupled dynamic solid boundary treatment algorithm.…”

Section: Wall Boundary Treatmentmentioning

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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Three‐dimensional weakly compressible moving particle simulation coupled with geometrically nonlinear shell for hydro‐elastic free‐surface flows

Junior

Neto

Cheng

2022

Numerical Methods in Fluids

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A three-dimensional fluid-structure interaction solver based on an improved weakly compressible moving particle simulation (WC-MPS) method and a geometrically nonlinear shell structural model is developed and applied to hydro-elastic free-surface flows. The fluid-structure coupling is performed by a polygon wall boundary model that can handle particles and finite elements of distinct sizes. In WC-MPS, a tuning-free diffusive term is introduced to the continuity equation to mitigate nonphysical pressure oscillations. Discrete divergence operators are derived and applied to the polygon wall boundary, of which the numerical stability is enhanced by a repulsive Lennard-Jones force.Additionally, an efficient technique to deal with the interaction between fluid particles placed at opposite sides of zero-thickness walls is proposed. The geometrically nonlinear shell is modeled by an unstructured mesh of six-node triangular elements. Finite rotations are considered with Rodrigues parameters and a hyperelastic constitutive model is adopted. Benchmark examples involving free-surface flows and thin-walled structures demonstrate that the proposed model is robust, numerically stable and offers more efficient computation by allowing mesh size larger than that of fluid particles.

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Local uniform stencil (LUST) boundary condition for arbitrary 3-D boundaries in parallel smoothed particle hydrodynamics (SPH) models

Cited by 129 publications

References 47 publications

Grand challenges for Smoothed Particle Hydrodynamics numerical schemes

Grand challenges for Smoothed Particle Hydrodynamics numerical schemes

Optimized incompressible smoothed particle hydrodynamics methods and validations

Three‐dimensional weakly compressible moving particle simulation coupled with geometrically nonlinear shell for hydro‐elastic free‐surface flows

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