| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Fluid Flow Generative Modeling | Kolmogorov Flow | KDE R^20.9995 | 20 | |
| Fluid Simulation | 2D Kolmogorov flow | w Avg Error0.1486 | 8 | |
| Fluid Dynamics Emulation | Kolmogorov Flow | MSE (1-step)0 | 6 | |
| Autoregressive Super-Resolution (64 to 256) | KF256 (2D Kolmogorov Flow) (test) | RL20.27 | 6 | |
| Dense field reconstruction | Kolmogorov Flow PhysBR |S| = 256 (test) | Mean Relative L2 Error45 | 5 | |
| Dense field reconstruction | Kolmogorov Flow PhysBR |S| = 3,200 (test) | Mean Rel L2 Error0.12 | 5 | |
| Data Assimilation | Kolmogorov Flow | Encoder Training Time (s)0 | 4 | |
| Generative Flow Modeling | Kolmogorov Flow (test) | IT6,431 | 4 | |
| Backward Reconstruction | 2D KF (Kolmogorov Flow) | RMSE (|u|)0.179 | 1 |