Wave Based Method for time-domain vibro-acoustic problems

This project develops a computer method that can efficiently and accurately simulate the interaction between vibrations in solid objects, such as walls or car panels, and sound waves as they travel through the air. Understanding how these vibrations and sounds interact is important because it helps engineers design, for example, quieter cars and improve soundproofing between rooms or apartments. There are already ways to simulate how vibrations and sound interact, but they often need powerful computers, which can be time-consuming or expensive. Also, many of these methods assume that the vibrations and sounds repeat in a certain pattern. That usually works well, but it doesnt always match real-life situations, like the bumps in a road or sudden impacts, which obviously do not follow a predictable pattern. In this project, we build on an existing technique called the Wave Based Method, which currently also only works when vibrations repeat in a regular pattern. Some adaptations are proposed, so it can also handle more complex, non-repetitive vibrations. The key idea is to break down these complex vibrations into several vibrations that do follow a regular pattern. Then we can apply the existing method to each part, and combine the results to get a complete solution showing the irregular vibrations.