So I wanted to start with something really simple. Hence some form of liquid with a single vector and momentum; a two dimensional cyclone! I know with the increase torque towards the center, the fluid should be lighter of color as it reaches the inertial point. Likewise, the darker colors would be calmer with a weaker tidal force.

As for actually drawing this motion... I may need to focus on the transitional phases of the fluid. I think I have the dissipation of the motion in the outside of the cyclone, but the transition to higher inertia is still weird...