Poseidon – Downstream Tasks
Collection
Datasets (from PDEGym) used in the downstream tasks for the Poseidon family of PDE foundation models.
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Short Description
Based on the incompressible Navier-Stokes equations, this dataset contains trajectories with initial conditions generated by propagating Browniand Bridges from t=-0.5 to t=0, see https://arxiv.org/abs/2405.19101. It also contains a passive tracer that is carried by the flow.
Dimensions
The assembled NetCDF file has a single variable called velocity with dimensionality
- 20000 (number of trajectories)
- 21 (time steps)
- 3 (horizontal velocity, vertical velocity, passive tracer)
- 128 (x-dim)
- 128 (y-dim)
It was simulated on the unit square up to T=1 and saved as uniformly spaced in space and time.
Train/Val/Test-split
19640/120/240 trajectories
Download & Assembly
The dataset can be downloaded, e.g., via huggingface-cli download.
After download, the chunked data can be assembled into a single NetCDF file using the provided assemble_data.py script.
Use it as follows:
python assemble_data.py --input_dir . --output_file NS-BB.nc
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