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2D Vorticity Equation Dataset

2d vorticity equation dataset. The underlying PDE is the vorticity (Navier-Stokes in vorticity form).

Data is stored in HDF5 (.h5) format.

Origin

This dataset was generated by Armand Kassai Koupaï and has been used in the following papers:

  • ZEBRA: In-Context Generative Pretraining for Solving Parametric PDEs — Louis Serrano, Armand Kassaï Koupaï, Thomas X Wang, Pierre Erbacher, Patrick Gallinari. ICML 2025. OpenReview
  • ENMA: Tokenwise Autoregression for Generative Neural PDE Operators — Armand Kassaï Koupaï, Lise Le Boudec, Louis Serrano, Patrick Gallinari. NeurIPS 2025.

Download

See the full download script in the Zebra repository.

pip install huggingface_hub

python download_data/download_data_hugging_face.py --datasets vorticity

Usage

import h5py

data = h5py.File("train.h5", "r")
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