Navier-Stokes
Benchmarks
TaskDatasetSOTA resultTrendResults
Navier-Stokes
0.063nRMSE
60
Navier-Stokes
2.03Relative L2 Loss
47
Navier-Stokes Regular Grid (test)
0.032Relative L2 Error
41
Navier–Stokes
0.08MSE
36
Navier-Stokes 2D
0.003Relative L2 Error
34
Navier-Stokes (NS) nu=10^-5 at 64x64 unified-protocol (test)
2.84Relative L2 Error (Test)
31
Navier-Stokes 10% Subset
0.101CRPS
30
Navier-Stokes (Full)
0.097CRPS
30
Navier-Stokes periodic incompressible (test)
5.3nRMSE
28
Navier-Stokes 2D (test)
0.048Relative MSE Loss
24
Navier-Stokes
0.06PDE Residual
24
Navier-Stokes (NS) problem
0.04Relative L2 Error
20
Navier-Stokes Equations
0.995KDE R2
20
Navier-Stokes (NS) 2x from PDEBench native grid (test)
0.021RMSE
20
2D Navier-Stokes
1.349Relative L2 Error (Rollout)
16
Navier-Stokes
0.19Relative L2 Error
15
Navier-Stokes Regular Grid (test)
0.063Relative L2 Error
15
Navier-Stokes Point-wise (25% test ratio)
0.127Relative L2 Error
15
Navier-Stokes 1 × 10^-3 (Out-t)
0.002MSE
15
Navier-Stokes 1 × 10^-3 (In-t)
0MSE
15
Navier-Stokes 8^2 to 128^2
0.657KES-RE
14
Navier-Stokes 20 frames (In-distribution)
0.002L2 Relative Error
13
Navier-Stokes (NS) OOD
0.312nMSE
11
Navier-Stokes (ID)
0.065nMSE
11
Non-bounded Navier-Stokes
0.104Relative Error
11