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> It's worth pointing out that particle-based fluid simulators are not physically accurate. Depends on what you mean by "particle-based". Lattice Boltzmann mod
by keldaris 9y ago
> It's worth pointing out that particle-based fluid simulators are not physically accurate.
Depends on what you mean by "particle-based". Lattice Boltzmann models, given specific constraints, can be easily shown to converge to the Navier-Stokes (and, if desired, even higher order fluid dynamics models) equations via the Chapman-Enskog expansion.
- whyever 9y agoHow can you show convergence when it is not shown that there is a unique solution to Navier-Stokes?
- pzone 9y agoThere's no contradiction. You show that what it converges to satisfies Navier-Stokes. (Maybe there's another Navier-Stokes solution with the same initial conditions, maybe it's unique, doesn't matter!)