
It's been quite some time but I remember going through it in Matlab to make small, numerical simulations in the book.
The problem with fluids is that it's a very complex branch of physics with many gotchas and many difficulties that you must navigate through, often blindly, to get a reasonable approximation to a solution.
The fluids specialists I worked with on the past almost always needed actual physical tests to prove out their engineered designs, rework simulations, etc.
Attractors and approximations for lattice dynamical systems by Shengfan Zhou, 2002.
1954's Studies of Nonlinear Problems by Fermi, Ulam, Pasta, featuring a 1D CA. https://www.cs.princeton.edu/courses/archive/fall02/cs323/li...
Noether's theorem comes up frequently - that every symmetry of the system corresponds to a conservation law.[6]
Smooth Life is Stephan Rafler's very cool version of CGOL with every discrete aspect turned into a continuous one.[7]
[0] https://en.wikipedia.org/wiki/Tommaso_Toffoli
[1] https://people.csail.mit.edu/nhm/ https://en.wikipedia.org/wiki/Norman_Margolus
[2] https://en.wikipedia.org/wiki/Edward_Fredkin
[3] https://scholar.google.com.au/scholar?as_vis=1&hl=en&q=gerar...
[4] https://scholar.google.com/citations?user=kujUxFYAAAAJ&hl=en
[5] https://en.wikipedia.org/wiki/Rudy_Rucker
[6] https://en.wikipedia.org/wiki/Noether%27s_theorem
[7] best video of SmoothLife https://www.youtube.com/watch?v=KJe9H6qS82I
https://sourceforge.net/projects/smoothlife/files/
This slideshow by Rafler contains the best, most complete explanation of it I've found: https://www.youtube.com/watch?v=iyTIXRhjXII
Shadertoy version https://www.shadertoy.com/view/XtdSDn