Advances in the particle finite element method for the analysis of fluid–multibody interaction and bed erosion in free surface flows

Oñate, Eugenio; Idelsohn, Sergio; Celigueta, Miguel Ángel; Rossi, Riccardo

doi:10.1016/j.cma.2007.06.005

Cited by 204 publications

(184 citation statements)

References 26 publications

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“…The PFEM has been successfully used to solve the Navier-Stokes equations [18][19][20][21] and fluid-structure interaction problems [22][23][24][25] as well as solid mechanics problems [26]. The advantages of the PFEM concerning the tracking of internal interfaces have also been explored and used to solve fluid mechanics problems including multi-fluid flows [27].…”

Section: Introductionmentioning

confidence: 99%

Lagrangian versus Eulerian integration errors

Idelsohn

Oñate

Nigro

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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Section: Introductionmentioning

confidence: 99%

Lagrangian versus Eulerian integration errors

Idelsohn

Oñate

Nigro

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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“…The approach is straightforward and can be easily rsif.royalsocietypublishing.org J. R. Soc. Interface 11: 20130922 incorporated within any standard computational fluid mechanics code based on finite difference, finite-element, finite volume or discrete-element discretization, for example, those developed in earlier studies [34][35][36][37][38][39].…”

Section: Resultsmentioning

confidence: 99%

Mechanically driven accumulation of microscale material at coupled solid–fluid interfaces in biological channels

Zohdi

2014

J. R. Soc. Interface.

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The accumulation of microscale materials at solid-fluid interfaces in biological channels is often the initial stage of certain growth processes, which are present in some forms of atherosclerosis. The objective of this work is to develop a relatively simple model for such accumulation, which researchers can use to qualitatively guide their analyses. Specifically, the approach is to construct rate equations for the accumulation at the solid-fluid interface as a function of the intensity of the shear stress. The accumulation of material subsequently reduces the cross-sectional area of the channel until the fluid-induced shear stress at the solid-fluid interface reaches a critical value, which terminates the accumulation rate. Characteristics of the model are explored analytically and numerically.

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“…Although PFEM was initially applied to problems in the field of fluid mechanics, it is being currently applied to a wide range of simulation problems [14][15][16], [17]: filling, erosion, mixing processes, thermo-viscous processes and thermal diffusion problems, among others. First applications of PFEM to solid mechanics are found in [18] to problems involving large strains and rotations, multi-body contacts and creation of new surfaces (riveting, powder filling and machining).…”

Section: The Particle Finite Element Methodsmentioning

confidence: 99%

“…The local equations of motion in the Eulerian description take the form: (15) Now, we summarize the weak formulation of momentum balance equations as a first stage toward the numerical implementation within the framework of PFEM.…”

Section: Governing Equationsmentioning

confidence: 99%

PFEM-based modeling of industrial granular flows

et al. 2014

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The potential of numerical methods for the solution and optimization of industrial granular flows problems is widely accepted by the industries of this field, the challenge being to promote effectively their industrial practice. In this paper, we attempt to make an exploratory step in this regard by using a numerical model based on continuous mechanics and on the so-called Particle Finite Element Method (PFEM). This goal is achieved by focusing two specific industrial applications in mining industry and pellet manufacturing: silo discharge and calculation of power draw in tumbling mills. Both examples are representative of variations on the granular material mechanical response -varying from a stagnant configuration to a flow condition. The silo discharge is validated using the experimental data, collected on a full-scale flat bottomed cylindrical silo. The simulation is conducted with the aim of characterizing and understanding the correlation between flow patterns and pressures for concentric discharges. In the second example, the potential of PFEM as a numerical tool to track the positions of the particles inside the drum is analyzed. Pressures and wall pressures distribution are also studied. The power draw is also computed and validated against experiments in which the power is plotted in terms of the rotational speed of the drum.

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Advances in the particle finite element method for the analysis of fluid–multibody interaction and bed erosion in free surface flows

Cited by 204 publications

References 26 publications

Lagrangian versus Eulerian integration errors

Lagrangian versus Eulerian integration errors

Mechanically driven accumulation of microscale material at coupled solid–fluid interfaces in biological channels

PFEM-based modeling of industrial granular flows

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