The big dealThe exact numerical solutions of Navier-Stokes that you just saw are pretty amazing: the velocity field is varying all over the fluid cell in a manner indistinguishable to the naked eye from snapshots of a turbulent fluid, but these solutions are stationary - they do not change under Navier-Stokes evolution, at least not until numerical errors creep in. | |
|
Question: “Are these solutions robust? What happens for higher Re?”
Question: “What happens as you vary cell width?” |
|
|
The next set of exact solutions is more amazing still: the Eulerian velocity is time dependent, and the movies are indistinguishable from the turbulent ones, but they return exactly to the initial state after a given period. |
|