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This paper highlights how unstructured space-time meshes can be used inproduction engineering applications with moving domains. Unstructuredspace-time elements can connect different spatial meshes at the bottom and toplevel of the space-time domain and deal with complicated domainmovements/rotations that the standard arbitrary Lagrangian-Eulerian techniquescan not resolve without remeshing. We use a space-time finite elementdiscretization, by means of 4D simplex space-time elements, referred to aspentatopes by Behr [2008], which leads to entirely unstructured grids withvarying levels of refinement both in space and in time. Furthermore, we usestabilization techniques, and the stabilization parameter is defined based onthe 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 todeal with complex anisotropic simplex meshes in the space-time domain.

Simplex space-time meshes in engineering applications with moving domains