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Datasets:
huxinchn
/
PIFNO-LAW

Languages:
English
Tags:
physics
pde
pino
fno
neural-operator
burgers-equation
License:
Dataset card Files
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Dataset Viewer
The dataset viewer is not available for this subset.
Cannot get the split names for the config 'default' of the dataset.
Exception:    SplitsNotFoundError
Message:      The split names could not be parsed from the dataset config.
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/inspect.py", line 286, in get_dataset_config_info
                  for split_generator in builder._split_generators(
                                         ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      StreamingDownloadManager(base_path=builder.base_path, download_config=download_config)
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/hdf5/hdf5.py", line 49, in _split_generators
                  import h5py
              ModuleNotFoundError: No module named 'h5py'
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/split_names.py", line 66, in compute_split_names_from_streaming_response
                  for split in get_dataset_split_names(
                               ~~~~~~~~~~~~~~~~~~~~~~~^
                      path=dataset,
                      ^^^^^^^^^^^^^
                      config_name=config,
                      ^^^^^^^^^^^^^^^^^^^
                      token=hf_token,
                      ^^^^^^^^^^^^^^^
                  )
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/inspect.py", line 340, in get_dataset_split_names
                  info = get_dataset_config_info(
                      path,
                  ...<6 lines>...
                      **config_kwargs,
                  )
                File "/usr/local/lib/python3.14/site-packages/datasets/inspect.py", line 291, in get_dataset_config_info
                  raise SplitsNotFoundError("The split names could not be parsed from the dataset config.") from err
              datasets.inspect.SplitsNotFoundError: The split names could not be parsed from the dataset config.

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📊 Dataset Description

This dataset provides comprehensive one-dimensional inviscid Burgers' equation simulations, explicitly generated for training and evaluating advanced operator learning architectures.

1D Inviscid Burgers' Equation

  • Equation: ∂tu+u∂xu=0\partial_t u + u \partial_x u = 0
  • Initial Conditions: Drawn from a Gaussian Random Field (GRF) with a squared exponential kernel ( l=0.1l=0.1 ).
  • Solver: High-fidelity Fifth-order WENO (WENO5) with an HLL Riemann solver and RK3 time integration.
  • Goal: Evaluate accurate resolution of nonlinear wave steepening and shock formation.

📂 Data Structure

1D Benchmark (burgers.h5)

  • Resolution: 1,024 spatial points, 51 time steps.
  • Fields:
    • x: Spatial grid
    • t: Temporal grid
    • u: Scalar solution field
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Total file size:
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