An MLSPH algorithm for free surface flows in engineering applications

Cueto‐Felgueroso, Luis; Colominas, Ignasi; Mosqueira, G.; Navarrina, F.; Casteleiro, Manuel

doi:10.1016/b978-008044046-0.50214-1

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…Although the proposed implementation fairly outperforms our previous work with classical boundary force approaches in the case of simple non-penetrating boundaries [16,[31][32][33], we must note that the correct enforcement of more general boundary conditions is still an open problem in SPH.…”

Section: Boundary Conditionsmentioning

confidence: 81%

On the Galerkin formulation of the smoothed particle hydrodynamics method

Cueto‐Felgueroso¹,

Colominas²,

Mosqueira³

et al. 2004

Numerical Meth Engineering

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SUMMARYIn this paper, we propose a Galerkin-based smoothed particle hydrodynamics (SPH) formulation with moving least-squares meshless approximation, applied to free surface flows. The Galerkin scheme provides a clear framework to analyse several procedures widely used in the classical SPH literature, suggesting that some of them should be reformulated in order to develop consistent algorithms. The performance of the methodology proposed is tested through various dynamic simulations, demonstrating the attractive ability of particle methods to handle severe distortions and complex phenomena.

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Section: Boundary Conditionsmentioning

confidence: 81%

On the Galerkin formulation of the smoothed particle hydrodynamics method

Cueto‐Felgueroso¹,

Colominas²,

Mosqueira³

et al. 2004

Numerical Meth Engineering

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“…Meshless methods have been successfully applied to a wide range of problems, such as free surface [38][39][40][41], impact magnetohydrodynamics [42][43], explosion phenomena [44][45], heat conduction [46][47], fracture and crack propagation [48][49], wave propagation [50][51], acoustics and fluid flow [52][53], vibration analysis [54][55][56], beams [57][58], plates and shells [59][60], and nanoscale mechanics [61][62][63][64][65][66]. A methodological study on possible and existing meshfree methods is presented in G. R. Liu [67] to solve the partial differential equations governing solid mechanics problems.…”

Section: Introductionmentioning

confidence: 99%

Meshless Analysis of a box culvert resting on Modified Vlasov Foundation

Marius,

Jacques,

MINSILI

2023

Numerical Methods in Civil Engineering

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In this paper, the computational design of box culverts are compared using Kleinlogel's formulas and three-dimensional models based on Winkler and Modified Vlasov Foundation (MVF) by Radial Point Interpolation method (RPIM). In order to extend the RPIM to the study of box culverts, a method of decomposition is made by subdomain and creation of a fictitious rotation. Similar results are observed between the RPIM_Winkler and STAAD PRO (FEM software), with fewer nodes in the case study. Kleinlogel's formulas or the Winkler model gives a maximal increase in stresses at the middle of the raft of 5% and 12 times increased displacement. Finally, it emerges that for the same type of soil and a single structure, the reaction and shear modulus of the soil is highly depends on the distribution of loads on the structure.

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An MLSPH algorithm for free surface flows in engineering applications

Cited by 2 publications

References 8 publications

On the Galerkin formulation of the smoothed particle hydrodynamics method

On the Galerkin formulation of the smoothed particle hydrodynamics method

Meshless Analysis of a box culvert resting on Modified Vlasov Foundation

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