Navier-Stokes
Benchmarks
TaskDatasetSOTA resultTrendResults
Non-bounded Navier-Stokes
0.043Relative Error
11
Navier-Stokes 3% uniformly random measurements
6.38Coefficient Relative L2 Error
10
Navier-Stokes
0.149N-MSE
9
Navier-Stokes
0.207KES-RE
8
Navier–Stokes SO-5% sparse-pixel observations (held-out trajectories)
0.025NRMSE
8
Navier-Stokes (NS)
0.055L2 Error
8
Navier Stokes (test)
0.229Energy Distance (ED)
8
Navier-Stokes Point-wise 5% ratio (test)
0.127Relative L2 Error
8
Navier-Stokes viscosity=0.001 Noisy observations (sigma_max^o)^2 = 0.001 (test)
0.126Test Error
8
Navier-Stokes Noisy inputs (viscosity=0.001) (sigma_max^i)^2 = 0.001 (test)
0.144Test Error
8
Navier-Stokes viscosity=0.001 Clean sigma_max^2 = 0 (test)
12.8Test Error
8
Navier-Stokes 20 frames Forcing-shift
0.005L2 Relative Error
7
Navier-Stokes 20 frames (Viscosity-shift)
3.05L2 Relative Error
7
Navier-Stokes (8/9 observed blocks)
0.759MSE
7
Navier-Stokes Taylor-Green Vortex
0.002MSE (True)
7
Navier-Stokes (NS) m=4, n=8 (train)
0MSE
7
Navier-Stokes nu=1e-5, T=20, N=1000 1.0 (test)
0.154Relative L2 Error
7
Navier-Stokes (nu=1e-4, T=30, N=10000) 1.0 (test)
0.067Relative L2 Error
7
Navier-Stokes (nu=1e-4, T=30, N=1000) 1.0 (test)
0.152Relative L2 Error
7
Navier-Stokes (nu=1e-3, T=50, N=1000) 1.0 (test)
0.006Relative L2 Error
7
Navier-Stokes (test)
16.1Avg Relative Error
6
Navier-Stokes
1.26CRPS
6
Navier-Stokes 5% to 100%
0.207KES-RE
6
Navier-Stokes 20% pixel-wise observation
1,931MSE
6
Navier-Stokes 60% pixel-wise observation
507MSE (x10^-3)
6