2D Navier-Stokes
Benchmarks
TaskDatasetSOTA resultTrendResults
2D Navier-Stokes nu=1e-3
0.096MSE
54
2D Navier-Stokes (test)
98.09Coverage
25
2D Navier-Stokes nu=1e-5
1.162MSE
18
2D Navier-Stokes (test)
22.71Average Relative Error
16
2D Navier-Stokes (test)
1.326Reconstruction Error (In-t)
15
2D Navier-Stokes (train)
1.02In-t Prediction Error
15
2D Navier-Stokes (test)
1.45Average Relative Error
14
2D Navier-Stokes stochastically forced turbulence
0.034Error Energy
10
2D Navier–Stokes ν = 10−5 (test)
7.05Relative L2 Loss
10
2D Navier-Stokes
3.23Relative L2 Error
7
2D Navier-Stokes Kolmogorov flow (test)
0.98Mean Error
7
2D Navier-Stokes v=1e-5 (test)
0.124Relative L2 Error
7
2D Navier-Stokes v=1e-4 (test)
0.105Relative L2 Error
7
2D Navier-Stokes out-of-distribution Re=10,000 (test)
61.08OOD Accuracy
6
2D Navier-Stokes (nu=10^-5, T=20, N=1000) 14 (test)
0.156Relative L2 Error
6
2D Navier-Stokes (nu=10^-4, T=30, N=10000) 14 (test)
0.082Relative L2 Error
6
2D Navier-Stokes (nu=10^-4, T=30, N=1000) 14 (test)
0.156Relative L2 Error
6
2D Navier-Stokes (nu=10^-3, T=50, N=1000) 14 (test)
0.009Relative L2 Error
6
2D Navier-Stokes d=64
28.79Relative Inversion Error (1% Noise)
5
2D Navier-Stokes d=32
0.285Relative Inversion Error (1% Noise)
5
2D Navier-Stokes Re=1000 T50-100 (test)
0.5U-MSE
4
2D Navier-Stokes Re=1000 T15-49 (test)
1U-MSE
4
2D Navier-Stokes Re=1000 T101-300 (test)
0.007U-MSE
3
2D Navier-Stokes nu = 10^-5, T = 20
0.168Relative Test Error
3
2D Navier-Stokes nu = 10^-4, T = 30
0.172Relative Test Error
3