This MATLAB implementation trains a Physics-Informed Neural Network (PINN) to solve the Navier-Stokes equations for incompressible fluid flow. The model is validated against the well-known Lid-Driven Cavity Flow problem. Feel free to make any suggestions on how to improve this PINN.
Image source: Fox and McDonald's Introduction to Fluid Mechanics by P. J. Pritchard (8th Edition) Pg.208
- MATLAB R2021a or later
- Deep Learning Toolbox
- Symbolic Math Toolbox (optional, for gradient verification)