I can't even fathom what it would be like for the future of simulation and physical world when it gets far more accurate and realistic.
I can't even fathom what it would be like for the future of simulation and physical world when it gets far more accurate and realistic.
This is most evident in the way things collide.
If there is a possibility where it continue to improve at a similar rate with llms. A way to simulate fluid dynamics or structural dynamics with reasonable accuracy and speed can unlock much faster pace of innovation in the physical world. (And validated with rigorous scientific methods)
A nice thing about numerical simulation from first principles, is it innately supports arbitrary speed/precision, that's in fact the backbone of the mathematical analysis for why it works.
In some cases, as is the case for CFD, we're actually mathematically screwed because you just have to resolve the small scales to get the macro dynamics. So the standard remains a kind of hack, which is to introduce additional equations (turbulence models) that steer the dynamics in place of the small (unresolved) scales. We know how to do better though (DNS), but it costs an arm and a leg (like years to milenia on a super computer).