I sketched out an similar app, but never had super pressing need. I can think of many many uses for this from modeling performance spaces, minimizing resonances in industrial settings, crime scene reconstruction, art installations, speaker placement for large concerts and many more.
What research or similar tools did you look to for inspiration?
Some things that come to mind
Efficient Interactive Sound Propagation in Dynamic Environments https://cdr.lib.unc.edu/concern/dissertations/5425kb409
Precomputed Wave Simulation for Real-Time Sound Propagation of Dynamic Sources in Complex Scenes http://gamma.cs.unc.edu/PrecompWaveSim/
Immersed boundary methods in wave-based virtual acoustics https://www.pure.ed.ac.uk/ws/portalfiles/portal/257303782/Bi...