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 forced incompressible Navier-Stokes equations, this dataset contains trajectories starting from initial conditions with piecewise constant vorticity, see https://arxiv.org/abs/2405.19101.
Dimensions
The assembled NetCDF file has a single variable called solution with dimensionality
- 20000 (number of trajectories)
- 21 (time steps)
- 2 (horizontal velocity, vertical velocity)
- 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. The forcing time- and sample-independent forcing field is given by 0.1sin(2pi(x+y)).
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 FNS-KF.nc
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