HydroNet finite volume
HydroNet (Penn State) — its differentiable Roe finite-volume solver (Heun RK2, CFL 0.3), the engine inside its FVM-PINN.
Research code, run with the settings of its own examples. Ran 2 tests; fewer than 5 with other models, so not ranked on the leaderboard. Score cards from: HydroNet finite volume (Roe, RK2) (0d98ff5).
| Test | Difference, rank | Checks |
|---|---|---|
| Dam break onto dry ground A1F-010 | #19 63 % off of 20 models | • Flood front 237 m behind exact; · Water conserved < 0.0001 % error The dam never breaks: no water crosses onto the dry bed. HydroNet's Roe residual uses a fixed 1 cm dry threshold and, at a face between a wet and a dry cell, the wet cell's own flux, so still water next to dry ground feels no net force. The same happens below a 1 cm downstream layer. Mass is conserved because nothing moves. |
| Dam break into shallow water A1F-011 | #9 0.26 % off of 20 models | • Average depth error 1.4 mm off; · Water conserved 0.016 % error Into 10 cm of water the dam break runs normally: depth error 1.4 mm and mass 0.016 %, but the error falls at a rate of 0.70 (90 % range 0.68 to 0.72; minimum 0.8). |