PDE Surrogate Modeling

Benchmarks

Dataset Name	SOTA Method	Metric
2D Kuramoto-Sivashinsky and Gray-Scott	Breed	Mean Error0.82	24	1mo ago
Single-phase Darcy flow 64 x 64 (test)	FNO	Relative L2 Error0.048	24	3mo ago
1D Burgers (test)	DR-NODE	Relative L2 Error3.73	15	17d ago
1D advection (test)	DR-NODE	Relative L2 Error0.66	15	17d ago
AirfRANS (Unseen Angles of Attack)	MeshGraphNet	Volume0.4902	12	5mo ago
AirfRANS Unseen Reynolds Numbers	MeshGraphNet	Volume0.2789	12	5mo ago
Active Matter (test)	CKM + ViT	VRMSE0.522	5	4mo ago
Turbulent Radiative Layer 2D (test)	CSM + ViT	VRMSE0.458	5	4mo ago
Shear Flow (test)	CSM + ViT	VRMSE0.0762	5	4mo ago
3D MHD (test)	CNO (full-size baseline)	Relative L2 Error (RelL2)0.4034	2	1mo ago
3D compressible Navier–Stokes (test)	FNO (boosted tiny stack)	RelL213.68	2	1mo ago
2D active matter (test)	FNO (full-size baseline)	Relative L2 Error (RelL2)0.6575	2	1mo ago
2D shallow water (test)	FNO (full-size baseline)	RelL2 Error1.921	2	1mo ago
2D reaction–diffusion (test)	FNO (full-size baseline)	Relative L2 Error (RelL2)0.0132	2	1mo ago
2D Darcy (test)	FNO (boosted tiny stack)	Rel L2 Error0.1334	2	1mo ago
2D Navier–Stokes (test)	FNO (boosted tiny stack)	Relative L2 Error (RelL2)0.0188	2	1mo ago
1D reaction–diffusion (test)	FNO (boosted tiny stack)	RelL24.074	2	1mo ago

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