PDEBench
Benchmarks
TaskDatasetSOTA resultTrendResults
PDEBench high-resolution 2D turbulence
4.1Relative Median L1 Error
8
PDEBench RDB (val)
1.28MSE
8
PDEBench 3D Turbulent CFD
0.305Relative L2 Error
8
PDEBench 2D Incompressible Navier-Stokes
0.02Relative L2 Error
8
PDEBench 1D CFD
0.025Relative L2 Error
8
PDEBench Diffusion Reaction (1D)
0.003nRMSE
8
PDEBench Diff.Reac 2D (test)
0.12nRMSE
8
PDEBench S.Water (test)
0.004nRMSE
8
PDEBench Darcy (test)
0.079nRMSE
8
PDEBench 3D Navier-Stokes
0.057Relative Median L1 Error
7
PDEBench 3D-CFD M1.0Rand transonic compressible Navier-Stokes
0.772Rollout Relative H1 Error
7
PDEBench Compressible Navier-Stokes High (PB-CNSH)
2.45L2 Relative Error
7
PDEBench Compressible Navier-Stokes Low (PB-CNSL)
1.53L2 Relative Error
7
PDEBench Aggregate All time-dependent families
0.074Mean nRMSE
7
PDEBench 2D CFD (ALL)
0.004Relative L2 Error
5
PDEBench 2D CFD (M = 0.1)
0.003Relative L2 Error
5
PDEBench 2D CFD (M = 1)
0.005Relative L2-error
5
PDEBench
0.029CNS
5
PDEBench Multiple Tasks
1.25Avg Rank
5
PDEBench Navier Stokes (1D)
0.05nRMSE
5
PDEBench Diffusion Reaction (2D)
0.817nRMSE
5
PDEBench Shallow Water (2D)
0.005nRMSE
5
PDEBench Diffusion Sorption (1D)
0.002nRMSE
5
PDEBench Burgers 1D
0.011nRMSE
5
PDEBench Advection (1D)
0.003nRMSE
5