2020
DOI: 10.1007/s11831-020-09468-4
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A State of the Art Review of the Particle Finite Element Method (PFEM)

Abstract: 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 … Show more

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Cited by 116 publications
(81 citation statements)
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“…The PFEM is a purely Lagrangian FEM-based method suitable for large deformation analysis in solid and fluid mechanics. The mesh distortion issues arisen from the Lagrangian description of the deforming body, are solved by a special remeshing strategy (Cremonesi et al, 2020). This procedure combines the Delaunay Triangulation algorithm (Edelsbrunner and Tan, 1993) with the Alpha Shape method (Edelsbrunner and Mucke, 1999), a technique employed for the identification of the boundaries of the computational domain.…”
Section: Solution Scheme With the Pfemmentioning
confidence: 99%
“…The PFEM is a purely Lagrangian FEM-based method suitable for large deformation analysis in solid and fluid mechanics. The mesh distortion issues arisen from the Lagrangian description of the deforming body, are solved by a special remeshing strategy (Cremonesi et al, 2020). This procedure combines the Delaunay Triangulation algorithm (Edelsbrunner and Tan, 1993) with the Alpha Shape method (Edelsbrunner and Mucke, 1999), a technique employed for the identification of the boundaries of the computational domain.…”
Section: Solution Scheme With the Pfemmentioning
confidence: 99%
“…Other particle methods such as MPM [first proposed by Sulsky et al (1994)], PFEM (Cremonesi et al, 2020), or Smoothed-Particle Hydrodynamics(SPH) [first proposed by Gingold and Monaghan (1977), Lucy (1977)] are particularly suitable for the simulation of non-discrete natural events such as debris flows, avalanches, or shallow landslides. For this reason, DEM is chosen to model and simulate the impacting objects (in this case rocks).…”
Section: Dem-fem Couplingmentioning
confidence: 99%
“…In the Lagrangian approach used in the solid mechanics, the movement of a continuum is determined as a function of materials coordinates and time. The nodes and elements of a Lagrangian mesh move together with a material [14] (Figure 1a). In the case of large deformations, remeshing is quite often necessary.…”
Section: The Coupled Eulerian-lagrangian Approachmentioning
confidence: 99%