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- ---
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- license: cc-by-nc-4.0
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- ---
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ ---
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+ license: cc-by-nc-4.0
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+ ---
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+
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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.
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+
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+ # Dimensions
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+
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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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+
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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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+
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+ # Train/Val/Test-split
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+ 19640/120/240 trajectories
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+
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+ # Download & Assembly
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+
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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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+ ```