Fast and accurate SPH modelling of 3D complex wall boundaries in viscous and non viscous flows

Chiron, Laurent; Leffe, M. de; Oger, G.; Touzé, David Le

doi:10.1016/j.cpc.2018.08.001

Cited by 66 publications

(38 citation statements)

References 37 publications

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“…As for boundary integrals (see [35] for a fundamental reference on this kind of BC implementation, where formulae for first and second derivatives with a semi-analytic formulation with boundary integrals are proposed and validated), they provide consistent formulations and are a first choice in extremely fragmented flows, such as those found in hydroplaning simulations [19]. For this type of technique, Calderon et al [13] have recently developed a formulation that improves the computation of the renormalisation factor in two and three dimensions.…”

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.

158

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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.

158

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“…Mayrhofer et al [MFK*15] extended the proposed semi‐analytical boundary conditions to 3D. Chiron et al [CdOL19] further adapted the Laplacian operator to the fully discrete approach of the walls. However, their method only considers how to take the boundary integral for the gradient term.…”

Section: Related Workmentioning

confidence: 99%

Semi‐analytical Solid Boundary Conditions for Free Surface Flows

Chang

Liu

et al. 2020

Computer Graphics Forum

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“…The convergence and precision of the particles' final positions depend on the quality of the reflections evaluated by the algorithm [47]. Other boundary treatment techniques currently being developed include: a semi-analytical method with the estimation of the contact forces in rigid boundaries [48], an enhanced form of the latter with wall-corrected gradients to be used under general 2D [49,50] and 3D [51] boundary conditions, a boundary integral approach proposed by the authors of [52], and a new SPH model presented by the authors of [53] for viscous and non-viscous flows with 3D complex boundaries.…”

Section: Introductionmentioning

confidence: 99%

Smoothed Particle Hydrodynamics Modeling with Advanced Boundary Conditions for Two-Dimensional Dam-Break Floods

Mirauda

Albano

Sole

et al. 2020

Water

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To simulate the dynamics of two-dimensional dam-break flow on a dry horizontal bed, we use a smoothed particle hydrodynamics model implementing two advanced boundary treatment techniques: (i) a semi-analytical approach, based on the computation of volume integrals within the truncated portions of the kernel supports at boundaries and (ii) an extension of the ghost-particle boundary method for mobile boundaries, adapted to free-slip conditions. The trends of the free surface along the channel, and of the impact wave pressures on the downstream vertical wall, were first validated against an experimental case study and then compared with other numerical solutions. The two boundary treatment schemes accurately predicted the overall shape of the primary wave front advancing along the dry bed until its impact with the downstream vertical wall. Compared to data from numerical models in the literature, the present results showed a closer fit to an experimental secondary wave, reflected by the downstream wall and characterized by complex vortex structures. The results showed the reliability of both the proposed boundary condition schemes in resolving violent wave breaking and impact events of a practical dam-break application, producing smooth pressure fields and accurately predicting pressure and water level peaks. compared to 3D CFD (computational fluid dynamics) equations [1,2]. However, given their meshing features, assumptions regarding hydrostatic pressure, and neglect of vertical velocity and flow velocity uniformity along the vertical axis [3,4], traditional numerical solutions to SWEs cannot effectively reproduce the strong distortion of the free surface that occurs in dam-break flows.Mesh-free models, such as smoothed particle hydrodynamics (SPH), offer an alternative to solving SWEs with grid-based numerical methods and have, accordingly, been applied to several areas of computational fluid dynamics [5,6]. The SPH method presents different advantages: mesh deformation and cracking; calculation of the system's advection and transport (due to its Lagrangian nature); modeling of free surface and phase/fluid interface problems; the ability to manage very large deformations in high-energy phenomena (e.g., explosions, high-velocity impacts, and penetrations); applicability at multiple scales if coupled with molecular dynamics and dissipative particle dynamics; and greater suitability to 3D-modeling than mesh-based methods [7,8]. In addition, should a "weakly compressible" approach be adopted, the non-iterative SPH algorithms are simplified [8].The limits of SPH models are linked to slightly higher computational costs, complex procedures for the local refining of spatial resolution, and a relatively low accuracy for classical CFD applications where mesh-based models are well-validated (e.g., confined mono-phase flows [8]). However, they are effectively employed in several fields [9][10][11][12][13][14][15][16][17][18].Various flood propagation studies have focused on the use of the SPH method to investigate dam-break ...

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Fast and accurate SPH modelling of 3D complex wall boundaries in viscous and non viscous flows

Cited by 66 publications

References 37 publications

Grand challenges for Smoothed Particle Hydrodynamics numerical schemes

Grand challenges for Smoothed Particle Hydrodynamics numerical schemes

Semi‐analytical Solid Boundary Conditions for Free Surface Flows

Smoothed Particle Hydrodynamics Modeling with Advanced Boundary Conditions for Two-Dimensional Dam-Break Floods

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