Made you a video just now.
It’s not fancy but you can approximate Navier-Stokes as a “Lattice Gas Automaton”.
Model’s included in NetLogo so I made you a quick video. It’s pixelly and chunky but it’s easy enough to make it bigger with many more smaller ‘turtles’ and add colors and stuff. (don’t ask me – I’m just a “proof of concept” guy )
As you can see, I’m a fan of NetLogo. It often has a model that’s almost exactly what I want to show and I rarely have to do much to demonstrate a notion of mine.
In this case, you should be able to have the turtles draw colors upon reaching a particular condition, such as being surrounded by enough neighbors traveling in concert. There also might be other models more suitable for what you seek.
It’s hard getting the dreams out of the brain into something that can be shown to others. I think I always envy animators: I think they come the closest to being able to show what they dream.