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@ARTICLE{Karyofylli:1008974,
      author       = {Karyofylli, Violeta and Behr, Marek},
      title        = {{S}implex space-time meshes in engineering applications
                      with moving domains},
      publisher    = {arXiv},
      reportid     = {FZJ-2023-02560},
      year         = {2022},
      abstract     = {This paper highlights how unstructured space-time meshes
                      can be used in production engineering applications with
                      moving domains. Unstructured space-time elements can connect
                      different spatial meshes at the bottom and top level of the
                      space-time domain and deal with complicated domain
                      movements/rotations that the standard arbitrary
                      Lagrangian-Eulerian techniques can not resolve without
                      remeshing. We use a space-time finite element
                      discretization, by means of 4D simplex space-time elements,
                      referred to as pentatopes by Behr [2008], which leads to
                      entirely unstructured grids with varying levels of
                      refinement both in space and in time. Furthermore, we use
                      stabilization techniques, and the stabilization parameter is
                      defined based on the contravariant metric tensor, as shown
                      in the work of Pauli and Behr [2017]. Its definition was
                      extended in 4D by von Danwitz et al. [2019], allowing us to
                      deal with complex anisotropic simplex meshes in the
                      space-time domain.},
      keywords     = {Computational Engineering, Finance, and Science (cs.CE)
                      (Other) / FOS: Computer and information sciences (Other)},
      cin          = {IEK-9},
      cid          = {I:(DE-Juel1)IEK-9-20110218},
      pnm          = {1231 - Electrochemistry for Hydrogen (POF4-123) / SFB 1120
                      B05 - Adaptive Rechengitter in Raum und Zeit zur effizienten
                      Simulation bewegter Phasengrenzen (B05) (260069256)},
      pid          = {G:(DE-HGF)POF4-1231 / G:(GEPRIS)260069256},
      typ          = {PUB:(DE-HGF)25},
      doi          = {10.48550/ARXIV.2210.09831},
      url          = {https://juser.fz-juelich.de/record/1008974},
}