Along with my students and collaborators, I develop numerical models for simulating various physical phenomena that involve complex motions such as fluids, bubbles, thin rods, and their resulting acoustic waves. Leveraging the computational insights developed in these models, I also devise methods in a range of applications including improving the process of making tangible objects and enrich them with novel new functionalities, enabling unprecedented human-computer interactions, and developing software tools for making acoustic and photonic devices.