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license: cc-by-nc-4.0 |
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# Short Description |
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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. |
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# Dimensions |
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The assembled NetCDF file has a **single** variable called *solution* with dimensionality |
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- 20000 (number of trajectories) |
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- 21 (time steps) |
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- 2 (horizontal velocity, vertical velocity) |
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- 128 (x-dim) |
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- 128 (y-dim) |
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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)). |
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# Train/Val/Test-split |
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19640/120/240 trajectories |
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# Download & Assembly |
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The dataset can be downloaded, e.g., via `huggingface-cli download`. |
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After download, the chunked data can be assembled into a single NetCDF file using the provided `assemble_data.py` script. |
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Use it as follows: |
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```bash |
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python assemble_data.py --input_dir . --output_file FNS-KF.nc |
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``` |
