Improving computational efficiency in LCM by using computational geometry and model reduction techniques

LCM simulation is computationally expensive because it needs an accurate solution of flow equations during the mold filling process. When simulating large computing times are not compatible with standard optimization techniques (for example for locating optimally the injection nozzles) or with process control that in general requires fast decision-makings. In this work, inspired by the concept of medial axis, we propose a numerical technique that computes numerically approximate distance fields by invoking computational geometry concepts that can be used for the optimal location of injection nozzles in infusion processes. On the other hand we also analyze the possibilities that model order reduction offers to fast and accurate solutions of flow models in mold filling processes.