[MauranKilom]

> From here we could use Bernoulli's equation to find the pressure distribution, which we could integrate over the surface to find drag and lift and so on. With a few tweaks we could simulate rotational flow, vortex panels, real wing profiles, and so on.

> With just a few simple building block we're already edging up on real computational fluid dynamics. All this just by adding up some matrices!

Correct me if I'm wrong, but the only "real" CFD you could solve with this are incompressible potential flows [0]. Solving Navier Stokes is clearly not just "a few tweaks away" from the Laplace equation, but I would be curious which tweaks would take you to e.g. rotational flows.

[0]: https://en.wikipedia.org/wiki/Potential_flow