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We present a boundary-conforming space-time finite element method to computethe flow inside co-rotating, self-wiping twin-screw extruders. The mesh updateis carried out using the newly developed Snapping Reference Mesh Update Method(SRMUM). It allows to compute time-dependent flow solutions inside twin-screwextruders equipped with conveying screw elements without any need forre-meshing and projections of solutions - making it a very efficient method. Weprovide cases for Newtonian and non-Newtonian fluids in 2D and 3D, that showmesh convergence of the solution as well as agreement to experimental results.Furthermore, a complex, unsteady and temperature-dependent 3D test case withmultiple screw elements illustrates the potential of the method also forindustrial applications.

Boundary-Conforming Finite Element Methods for Twin-Screw Extruders: Unsteady - Temperature-Dependent - Non-Newtonian Simulations