Comment by semi-extrinsic

I don't have any good idea of what are "good" prompts for demonstrating such models. But what I would ask such a model is the following. I have no idea if it would fall on it's face or not.

Can you write a version of Chorin's projection method for the Navier-Stokes equations that is both explicit and second order in time?

Ideally the model should not need a more detailed prompt than this. A first-year grad student in numerical analysis certainly would not.