Is it just the speed of computation that will be impacted? Or is it like, solving for some quantity might cause fewer visual errors to occur, resulting in a perceived higher-fidelity image?
Can we tell from the mathematical PDE which formulation may be better?
Is there a way to tell which PDE will result in faster computation without actually implementing and timing them?
What's the difference of an incompressible fluid from a compressible fluid? The properties listed seems like they could apply to all fluids.