--- 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 ```