PFEM–DEM for particle-laden flows with free surface

Franci, Alessandro; de-Pouplana, Ignasi; Casas, Guillermo; Celigueta, Miguel Ángel; González-Usúa, Joaquín; Oñate, Eugenio

doi:10.1007/s40571-019-00244-1

Cited by 8 publications

(6 citation statements)

References 64 publications

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“…However, all the numerical simulations seem to overestimate the velocity of the uid front obtained experimentally. As already noted in [27] and [29], this may be due to the fact that, in the numerical simulations, the retaining wall is removed instantaneously, while, in the experiments, this action takes inevitably a certain time. Nevertheless, also under this respect, the comparison with the experimental results can be considered satisfactory.…”

Section: D Solutionmentioning

confidence: 78%

A Lagrangian nodal integration method for free-surface fluid flows

Franci

Cremonesi

Perego

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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Section: D Solutionmentioning

confidence: 78%

A Lagrangian nodal integration method for free-surface fluid flows

Franci

Cremonesi

Perego

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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“…In this approach, the weak form (Eqs. (10)(11)) is integrated numerically over the nodal patches of the triangular mesh. In the bulk, the area of the nodal patch is the overall area of all neighboring elements, see the graphical representation in Figure 1a.…”

Section: Spatial Integrationmentioning

confidence: 99%

“…Several examples of its successful application to complex non-linear problems can be found in the literature, e.g. [30,4,36,25,6,11], just to mention some of the most recently published PFEM-based formulations.…”

Section: Pfem Remesh and Uid-solid Interface Detectionmentioning

confidence: 99%

Lagrangian finite element method with nodal integration for fluid–solid interaction

Franci

2020

Comp. Part. Mech.

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This work presents a fully LagrangianFinite Element Method (FEM) with nodal integration for the simulation of Fluid-Structure Interaction (FSI) problems. The Particle Finite Element Method (PFEM) is used to solve the incompressible uids and to track their evolving free surface, while the solid bodies are modeled with the standard FEM. The coupled problem is solved through a monolithic approach to ensure a strong FSI coupling. Accuracy and convergence of the proposed nodal integration method are proved against several benchmark tests, involving complex interactions between unsteady free-surface uids and solids undergoing large displacements. A very good agreement with the numerical and experimental results of the literature is obtained. The numerical results of the nodal integration algorithm are also compared to those given by a standard Gaussian method and their upperbound convergent behavior is also discussed.

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“…This problem has been also solved many time with PFEM, both in 2D (see e.g. [13,52,53,138]) and in 3D (see e.g [35,72]). In Fig.…”

Section: An Illustrative Example: the Dam Break Testmentioning

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

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116

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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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PFEM–DEM for particle-laden flows with free surface

Cited by 8 publications

References 64 publications

A Lagrangian nodal integration method for free-surface fluid flows

A Lagrangian nodal integration method for free-surface fluid flows

Lagrangian finite element method with nodal integration for fluid–solid interaction

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

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