Long-term forecasting on 2D Navier-Stokes
1.349Relative L2 Error (Rollout)FNO
Evaluation results
| Method | Links | |||||||
|---|---|---|---|---|---|---|---|---|
| FNOTraining Horizon=10-step (10 -> 1)2026.03 | 1.349 | — | — | — | — | — | — | |
| CKBTraining Horizon=5-step (5 -> 1)2026.03 | 1.449 | — | — | — | — | — | — | |
| CKBTraining Horizon=3-step (3 -> 1)2026.03 | 1.533 | — | — | — | — | — | — | |
| FNOTraining Horizon=5-step (5 -> 1)2026.03 | 1.814 | — | — | — | — | — | — | |
| FNOTraining Horizon=3-step (3 -> 1)2026.03 | 2.226 | — | — | — | — | — | — | |
| SKNO2025.05 | 8.374 | 720.28 | 706.68 | 736.79 | 708.93 | 738.2 | 720.98 | |
| CKBTraining Horizon=10-step (10 -> 1)2026.03 | 9.875 | — | — | — | — | — | — | |
| Transolver2025.05 | 10.02 | 1,263.33 | 1,269.94 | 1,469.21 | 1,384.41 | 1,285.63 | 1,278.9 | |
| FNO2025.05 | 12.77 | 843.37 | 856.4 | 841.03 | 849.42 | 863.67 | 859.44 | |
| FNO (time dim)variant=Spatio-temporal variant using pseudo time dimension2025.05 | 16.42 | 787.14 | 786.21 | 803.59 | 789.53 | 784.37 | 796.33 | |
| U-FNO2025.05 | 19.76 | 981.5 | 986.2 | 999.03 | 1,002.9 | 984.78 | 997.7 | |
| BregmanNO2025.05 | 21.11 | 754.87 | 756.86 | 761.34 | 775.92 | 767.4 | 755.68 | |
| FFNO2025.05 | 21.72 | 754.98 | 753.16 | 770.89 | 772.64 | 769.01 | 740.73 | |
| TFNO2025.05 | 22.7 | 749.36 | 769.06 | 733.09 | 770.26 | 755.34 | 768.82 | |
| AFNO2025.05 | 30.85 | 1,192.37 | 1,127.28 | 1,139.2 | 1,117.37 | 1,110.54 | 1,144.27 | |
| DeepONet2025.05 | 54.14 | 874.5 | 873.16 | 885.19 | 872.83 | 878.85 | 880.26 |