Finite Element Methods for Parabolic Problems with Time-Dependent Domains: Application to a Milling Simulation
We consider the finite element discretization of PDEs on time-dependent domains. Approximation of boundary conditions is one of the crucial aspects, as well as an appropriate approach to adaptive mesh refinement. We present some numerical test results and the application to the thermomechanical simulation of a milling process, where the domain changes in time due to material removal.
The authors gratefully acknowledge the financial support by the German Research Foundation (DFG) via the project “Thermomechanical Deformation of Complex Workpieces in Drilling and Milling Processes” (MA1657/21-3) within the DFG Priority Program 1480 “Modeling, Simulation and Compensation of Thermal Effects for Complex Machining Processes”. Furthermore, we thank our project partners from ZeTeM Bremen and IFW Hannover for cooperation.
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