Quality-based Mesh Adaptation in the Particle Finite Element Method: Extension to 3D

  • Leyssens, Thomas (Université Catholique de Louvain)
  • Remacle, Jean-François (Université Catholique de Louvain)
  • Lambrechts, Jonathan (Université Catholique de Louvain)

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The particle finite element method, or PFEM, is a successful method for fluid simulations involving strong deformations of the domain, as is the case for free surface flows. In this work, we propose to use mesh adaptation techniques based on constrained Delaunay triangulation to always ensure high quality of the elements within the fluid domain. The mesh adaptation method not only guarantees to always have high quality elements within the fluid domain, but also allows to refine the mesh based on a predefined size field. Along the free surface, the mesh can thus be refined to the desired level in order to improve volume conservation and to accurately track domain changes such as merges and separations. After validation in 2D, we show the extension of the mesh adaptation method to 3D.