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---
license: cc-by-nc-4.0
---
# 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:
```bash
python assemble_data.py --input_dir . --output_file FNS-KF.nc
``` |