Navier-Stokes
Benchmarks
TaskDatasetSOTA resultTrendResults
Navier-Stokes 80% pixel-wise observation
223MSE
6
Navier-Stokes
0.059CRPS
6
Navier–Stokes
1.05Time per Sample (s)
6
Navier-Stokes 64x64 (test)
4.6Relative L2 Error (%)
6
Navier-Stokes 64x64 (test)
1Relative L2 Error
6
Navier-Stokes inviscid density (test)
0.068Mean Relative L2 Error
5
Navier-Stokes viscous density (test)
0.015Mean Relative L2 Error
5
Navier-Stokes inviscid
1,717,188Total Parameters
5
Navier-Stokes viscous
543,460Total Parameters
5
Navier–Stokes inviscid
178.21Total Training Time (min)
5
Navier–Stokes viscous
274.95Total Training Time (min)
5
Navier–Stokes inviscid
18.52Max GPU Memory Usage (GB)
5
Navier–Stokes viscous
11.61Maximum GPU Memory Usage (GB)
5
Navier-Stokes
6.02CRPS
5
Navier–Stokes flow past a cylinder (val)
0.343Error u (E0u)
5
Navier-Stokes
7.84Relative L2 Error
5
Navier-Stokes 97% Sparse Observation
7.91L2 Relative Error
5
Navier-Stokes 97% Sparse Observation
7.11L2 Relative Error
5
Navier–Stokes Full Observation
1.25L2 Relative Error
5
Navier–Stokes Full Observation
0.6L2 Relative Error
5
Navier-Stokes Noisy
37.03L2 Relative Error
5
Navier-Stokes Noisy
31.55L2 Relative Error
5
Navier-Stokes 64x64, ν=10⁻⁵ (test)
90Relative L2 Error (Step 1)
4
Navier–Stokes
0.198MMSE
4
Navier-Stokes 10K (evaluation)
1.75Relative L2 Error
4