CFC 2025

Recent Advances in the Particle Finite Element Method for Fluid-Structure Interactions and Multi-Physics Problems

  • Lacroix, Martin (Liège University)
  • Fernandez, Eduardo (Liège University)
  • Février, Simon (Liège University)
  • Papeleux, Luc (Liège University)
  • Boman, Romain (Liège University)
  • Ponthot, Jean-Philippe (Liège University)

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Particle Finite Element Method (PFEM) is a still rather young discretization method that seeks to merge the advantages of the classical FEM with those of modern particle-based methods, such as SPH. To this end, PFEM is designed as a Lagrangian method that combines computations over one time step using FEM with a fast-remeshing algorithm, thereby avoiding mesh distortions consequent to very large deformations, such as those encountered in fluid flow with free surfaces. The method is thus quite flexible and can be applied to both solid and fluid material behavior (see [1-3] as a sample of the state of the art). PFEM has proven to be a very versatile method that not only allows tracking free evolving boundaries but also considers thermo-mechanical coupling and thus tackle more complex multi-physics problems. For instance, thanks to its Lagrangian character and its ability to automatically track evolving free surfaces and interfaces, PFEM allows handling phase change due to solidification and melting, as well as capillary and Marangoni effects from surface tension [2]. These physical ingredients are highly valuable for simulating melt pool dynamics, for example, in the context of additive manufacturing. Multiphysics problems can lead to models that are inherently incompatible or highly difficult to combine within the same numerical implementation. In such a case, it is convenient to split the physical models and solve them separately using dedicated software. This work gathers recent advances in the PFEM with special attention to the incorporation of multi-physics models and their applications. In addition, numerical examples of the PFEM will illustrate fluid-structure interaction problems including contact between different solid parts and plastic deformation of some components of the system. REFERENCES [1] Cremonesi M, Franci A, Idelsohn S & Oñate E. (2020). A state-of-the-art review of the PFEM. Archives of Computational Methods in Engineering 27, 1709–1735. [2] Cerquaglia ML, Thomas D, Boman R, Terrapon V & Ponthot JP. (2019) A fully partitioned Lagrangian framework for FSI problems characterized by free surfaces, large solid deformations and displacements, and strong added-mass effects. Computer Methods in Applied Mechanics and Engineering 348, 409-442. [3] Fernandez E, Février S, Lacroix M, Boman R, Papeleux L & Ponthot JP. (2023). A Particle Finite Element Method based on Level–Set functions. Journal of Computational Physics 487 (2023) 112187