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ResearchFormerly WizWand

PDE Surrogate Modeling

Benchmarks

DatasetSOTA methodMetricTrendResultsLast updated

2D Kuramoto-Sivashinsky and Gray-Scott

0.82Mean Error

24

Jun 11, 2026

Single-phase Darcy flow 64 x 64 (test)

0.048Relative L2 Error

24

Apr 3, 2026

1D Burgers (test)

3.73Relative L2 Error

15

Jul 9, 2026

1D advection (test)

0.66Relative L2 Error

15

Jul 9, 2026

AirfRANS (Unseen Angles of Attack)

0.49Volume

12

Feb 26, 2026

AirfRANS Unseen Reynolds Numbers

0.279Volume

12

Feb 26, 2026

Active Matter (test)

0.522VRMSE

5

Mar 6, 2026

Turbulent Radiative Layer 2D (test)

0.458VRMSE

5

Mar 6, 2026

Shear Flow (test)

0.076VRMSE

5

Mar 6, 2026

CNO (full-size baseline)

0.403Relative L2 Error (RelL2)

2

Jun 17, 2026

3D compressible Navier–Stokes (test)

FNO (boosted tiny stack)

13.68RelL2

2

Jun 17, 2026

2D active matter (test)

FNO (full-size baseline)

0.658Relative L2 Error (RelL2)

2

Jun 17, 2026

2D shallow water (test)

FNO (full-size baseline)

1.921RelL2 Error

2

Jun 17, 2026

2D reaction–diffusion (test)

FNO (full-size baseline)

0.013Relative L2 Error (RelL2)

2

Jun 17, 2026

2D Darcy (test)

FNO (boosted tiny stack)

0.133Rel L2 Error

2

Jun 17, 2026

2D Navier–Stokes (test)

FNO (boosted tiny stack)

0.019Relative L2 Error (RelL2)

2

Jun 17, 2026

1D reaction–diffusion (test)

FNO (boosted tiny stack)

4.074RelL2

2

Jun 17, 2026