acousticPINNs

Applications of scientific machine learning techniques to study the acoustics of an apartment.

PDE

Analysis begins by studying waves in ideal fluids using Newton's second law, conservation of mass, and the equation of state. Then the behaviour is described by a partial differential equation (PDE), the wave equation:

$$\nabla^2_x p(\textbf{x}, t) = \frac{1}{c^2}\ddot{p}(\textbf{x}, t)$$

Solver solution

Reformulation and discretization procedures enable the numerical simulation of the system. Example solution of an initial condition problem:

waveProp.mp4

Operator inference samples

OpInf.mp4

waveProp.mp4