The Particle Finite Element Method for Multi-Fluid Flows

Idelsohn, Sergio; Mier-Torrecilla, M.; Marti, Julio; Oñate, Eugenio

doi:10.1007/978-94-007-0735-1_5

Cited by 10 publications

(7 citation statements)

References 38 publications

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“…Due to the nodes motion, the finite element mesh is re-generated using Delaunay triangulation [36]. For further details on the PFEM approach the reader may refer to [25,[37][38][39].…”

Section: Particle Finite Element Methods For the Polymermentioning

confidence: 99%

A Finite Element Model for the Simulation of the UL-94 Burning Test

2018

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The tendency of the polymers to melt and drip when they are exposed to external heat source play a very important role in the ignition and the spread of fire. Numerical simulation is a promising methodology for predicting this behaviour. In this paper, an computational procedure that aims at analyzing the combustion, melting and flame spread of polymer is presented. The method models the polymer using a Lagrangian framework adopting the Particle Finite Element Method framework while the surrounding air is solved on a fixed Eulerian mesh. This approach allows to treat naturally the polymer shape deformations and to solve the thermo-mechanical problem in a staggered fashion. The problems are coupled using an embedded Dirichlet-Neumann scheme. A simple combustion model and a radiation modeling strategy are included in the air domain. With this strategy the burning of a Polypropylene (PP) specimen under UL94 vertical test conditions is simulated. Input parameters for the modelling(density, specific heat, conductivity and viscosity) and results for the validation of the numerical model has been obtained from different literature sources and by IMDEA burning a specimen of dimensions of 148 × 13 × 3.2[mm 3 ]. Temperature measurements in the polymer have been recorder by means of 3 thermocouples exceeding the 1000 [K]. Simultaneously a digital camera was used to record the burning process. In adition, thermal decomposition of the material (Arrhenius coefficient A = 7.14 × 10 16 min −1 and activation energy E = 240.67[Kj/mol]) as and changes in viscosity (µ) as a function of temperature were obtained. Finally, a good agreement between the experimental and the numerical can be seen in terms of shape of the polymer as well as in the temperature evolution inside the polymer.

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“…Due to the nodes motion, the finite element mesh is re-generated using Delaunay triangulation [36]. For further details on the PFEM approach the reader may refer to [25,[37][38][39].…”

Section: Particle Finite Element Methods For the Polymermentioning

confidence: 99%

A Finite Element Model for the Simulation of the UL-94 Burning Test

2018

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“…To date, a number of challenging problems involving large deformation and free-surface evolution have been tackled by the PFEM. These include the modelling of granular flows [22,23,43,51,52], landslides [31], landslide-generated waves [32,49], multi-fluid flows [53][54][55], fluid-structure interaction [29,56,57], soil -structure interaction [28,44,58], bubble dynamics [59], the melting Figure 4. Steps for the particle finite element method (after [43]).…”

Section: Particle Finite Element Methodsmentioning

confidence: 99%

Lagrangian modelling of large deformation induced by progressive failure of sensitive clays with elastoviscoplasticity

Xue

Sheng

Sloan

et al. 2017

Numerical Meth Engineering

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International audienceThis paper presents a Lagrangian formulation of elastoviscoplasticity, based on the Particle Finite Element Method, for progressive failure analysis of sensitive clays. The sensitive clay is represented by an elastoviscoplastic model which is a mixture of the Bingham model, for describing rheological behaviour, and the Tresca model with strain softening for capturing the progressive failure behaviour. The finite element formulation for the incremental elastoviscoplastic analysis is reformulated, through the application of the Hellinger-Reissner variational theorem, as an equivalent optimization program that can be solved efficiently using modern algorithms such as the interior-point method. The recast formulation is then incorporated into the framework of the Particle Finite Element Method for investigating progressive failure problems related to sensitive clays, such as the collapse of a sensitive clay column and the retrogressive failure of a slope in sensitive clays, where extremely large deformation occurs

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“…The work was then extended to 3D analysis in [2]. The potential of the method for dealing with thermal problems was further proved in a multi-fluid framework [46,47].…”

Section: Thermal Coupled Problemsmentioning

confidence: 99%

A State of the Art Review of the Particle Finite Element Method (PFEM)

Cremonesi

Franci

Idelsohn

et al. 2020

Arch Computat Methods Eng

117

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The particle finite element method (PFEM) is a powerful and robust numerical tool for the simulation of multi-physics problems in evolving domains. The PFEM exploits the Lagrangian framework to automatically identify and follow interfaces between different materials (e.g. fluid–fluid, fluid–solid or free surfaces). The method solves the governing equations with the standard finite element method and overcomes mesh distortion issues using a fast and efficient remeshing procedure. The flexibility and robustness of the method together with its capability for dealing with large topological variations of the computational domains, explain its success for solving a wide range of industrial and engineering problems. This paper provides an extended overview of the theory and applications of the method, giving the tools required to understand the PFEM from its basic ideas to the more advanced applications. Moreover, this work aims to confirm the flexibility and robustness of the PFEM for a broad range of engineering applications. Furthermore, presenting the advantages and disadvantages of the method, this overview can be the starting point for improvements of PFEM technology and for widening its application fields.

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The Particle Finite Element Method for Multi-Fluid Flows

Cited by 10 publications

References 38 publications

A Finite Element Model for the Simulation of the UL-94 Burning Test

A Finite Element Model for the Simulation of the UL-94 Burning Test

Lagrangian modelling of large deformation induced by progressive failure of sensitive clays with elastoviscoplasticity

A State of the Art Review of the Particle Finite Element Method (PFEM)

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