Navier-Stokes Equation
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Operator Learning Rollout Prediction | Navier-Stokes Equation E4 | MSE0 | 28 | |
| Symbolic Regression | 2D Navier-Stokes Equation v=0.005 | MSE0.0758 | 8 | |
| Solving Constrained PDEs | Navier-Stokes Equation | MMSE0.264 | 7 | |
| Inverse problem | Navier-Stokes equation S=500 1.0 (test) | Minimum Error0.267 | 7 | |
| Inverse problem | Navier-Stokes equation S=250 1.0 (test) | Best Error0.295 | 7 | |
| Partial Differential Equation Solving | Navier-Stokes equation Large regime, Re=2000 | Relative MSE0.183 | 6 | |
| Partial Differential Equation Solving | Navier-Stokes equation Medium regime, Re=1000 | Relative MSE0.0007 | 6 | |
| Partial Differential Equation Solving | Navier-Stokes equation Small regime, Re=500 | Relative MSE0.0336 | 6 | |
| PDE Solution Prediction | Navier-Stokes Equation (NSE) Norm Conservation (test) | Relative L2 Error1.43 | 6 | |
| PDE Solving | Navier-Stokes (NS) Equation nu = 10^-3 | L2 Error0.26 | 3 |
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