Optimization of engineering processes including heating in time-dependent domains

Abstract

We present two models for engineering processes, where thermal effects and time-dependent domains play an important role. Typically, the parabolic heat equation is coupled with other equations. Challenges for the optimization of such systems are presented. The first model describes a milling process, where material is removed and heat is produced by the cutting, leading to thermomechanical distortion. Goal is the minimization of these distortions. The second model describes the melting and solidification of metal, where the geometry is a result of free-surface flow of the liquid and the microstructure of the re-solidified material is important for the quality of the produced preform.