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ResearchFormerly WizWand

Fluid Dynamics Simulation on Navier-Stokes (NS) nu=10^-5 at 64x64 unified-protocol (test)

2.84Relative L2 Error (Test)Transformer (NSL, full softmax)
-0.038819.393138.82558.2569May 9, 2026
Updated 6mo ago

Evaluation results

MethodLinks
Transformer (NSL, full softmax)Params=4.38 M, Provenance=Wu et al. [2024b]2026.052.84
SpectraNet, M=20Params=5.37 M, Provenance=this work (J19), M=202026.057.87
SpectraNet, M=16Params=3.60 M, Provenance=this work (J18), M=162026.057.92
SpectraNet (headline)Params=2.04 M, Provenance=this work (J23)2026.058.22
SpectraNet, w=32 + residual, seed 0Params=2.12 M, Provenance=this work (J14), Width=32, Config=residual, Seed=02026.058.36
SpectraNet, w=48 plainParams=4.78 M, Provenance=this work (3190), Width=48, Config=plain2026.058.36
SpectraNet, w=32 + spectral envelopeParams=2.12 M, Provenance=this work (J24), Width=32, Config=spectral envelope2026.058.49
SpectraNet, w=32 + residual, seed 1Params=2.12 M, Provenance=this work (J3222), Width=32, Config=residual, Seed=12026.058.5
SpectraNet, w=32 + grouped channel-mixing MLPParams=1.97 M, Provenance=this work (J21), Width=32, Config=grouped channel-mixing MLP2026.058.54
SpectraNet, w=64 plainParams=8.49 M, Provenance=this work (3199), Width=64, Config=plain2026.058.69
SpectraNet, w=32 + disk truncationParams=2.12 M, Provenance=this work (J20), Width=32, Config=disk truncation2026.058.93
SpectraNet, w=20 plainParams=0.83 M, Provenance=this work (3187), Width=20, Config=plain2026.059.41
SpectraNet, 3D-spectral variantParams=8.57 M, Provenance=this work (3188)2026.0510.06
FNO seed 0Params=4.75 M, Provenance=Li et al. [2021], Seed=02026.0510.24
FNO seed 1Params=4.75 M, Provenance=Li et al. [2021] (seed 1), Seed=12026.0510.69
Galerkin TransformerParams=4.39 M, Provenance=Cao [2021]2026.0510.97
U-FNOParams=39.38 M, Provenance=Wen et al. [2022]2026.0512.18
U-Net (NSL)Params=276.96 M, Provenance=Wu et al. [2024b]2026.0513.87
FactFormerParams=3.47 M, Provenance=Li et al. [2023b]2026.0516.39
U-NOParams=50.80 M, Provenance=Rahman et al. [2023]2026.0516.97
SpectraNet, single-shot variantParams=14.49 M, Provenance=this work (3123)2026.0519.42
MWTParams=0.08 M, Provenance=Gupta et al. [2021]2026.0519.44
LSMParams=19.20 M, Provenance=Wu et al. [2023]2026.0519.51
OFormerParams=0.55 M, Provenance=Li et al. [2023a]2026.0521.62
TransolverParams=11.20 M, Provenance=Wu et al. [2024a]2026.0522.47
F-FNOParams=0.16 M, Provenance=Tran et al. [2023]2026.0523.31
GNOTParams=1.23 M, Provenance=Hao et al. [2023]2026.0523.62
KNO2dParams=0.26 M, Provenance=Xiong et al. [2024]2026.0530.92
CNOParams=2.03 M, Provenance=Raonic et al. [2023]2026.0532.59
ONOParams=0.12 M, Provenance=Xiao et al. [2024]2026.0534.43
Persistence (trivial floor)Params=0, Provenance=this work2026.0574.81