PDEBench fluid evolution
Neural surrogates that roll out PDE solutions with less error (placeholder)
| 1 | { |
| 2 | "domain": "engineering-energy", |
| 3 | "image": "python:3.12-slim", |
| 4 | "data": "The PDEBench and The Well training splits; the test trajectories are scored on the runner.", |
| 5 | "benchmark": { |
| 6 | "task": "PDE surrogate modelling", |
| 7 | "metric": { |
| 8 | "name": "nRMSE", |
| 9 | "better": "lower" |
| 10 | }, |
| 11 | "cost": "GPU-hours", |
| 12 | "subtasks": "systems", |
| 13 | "guardrails": [ |
| 14 | "Autoregressive rollout from the first ten steps, with no ground truth after them", |
| 15 | "One model per system, trained on its training split only", |
| 16 | "At most 48 GPU-hours per system" |
| 17 | ], |
| 18 | "aggregate": "mean", |
| 19 | "baseline": { |
| 20 | "name": "FNO", |
| 21 | "score": 0.091, |
| 22 | "cost": 9.5, |
| 23 | "subtasks": { |
| 24 | "1D advection": 0.1281, |
| 25 | "1D Burgers": 0.1477, |
| 26 | "1D diffusion–reaction": 0.09651, |
| 27 | "2D Darcy flow": 0.05843, |
| 28 | "2D shallow water": 0.1251, |
| 29 | "2D reaction–diffusion": 0.01769, |
| 30 | "2D compressible NS": 0.1182, |
| 31 | "3D compressible NS": 0.03628 |
| 32 | } |
| 33 | } |
| 34 | } |
| 35 | } |