Hugging Face's logo

Datasets:
scaomath
/
navier-stokes-dataset

Tasks:
Image-to-3D
Size:
1K<n<10K
Tags:
mathematics
partial-differential-equations
computational fluid dynamics
physics
neural operator
DOI:
License:
Dataset card Files Community
Dataset Viewer
Viewer
The dataset viewer is not available for this dataset.
Cannot get the config names for the dataset.
Error code:   ConfigNamesError
Exception:    DataFilesNotFoundError
Message:      No (supported) data files found in scaomath/navier-stokes-dataset
Traceback:    Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/dataset/config_names.py", line 72, in compute_config_names_response
                  config_names = get_dataset_config_names(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/inspect.py", line 347, in get_dataset_config_names
                  dataset_module = dataset_module_factory(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/load.py", line 1904, in dataset_module_factory
                  raise e1 from None
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/load.py", line 1885, in dataset_module_factory
                  return HubDatasetModuleFactoryWithoutScript(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/load.py", line 1270, in get_module
                  module_name, default_builder_kwargs = infer_module_for_data_files(
                File "/src/services/worker/.venv/lib/python3.9/site-packages/datasets/load.py", line 597, in infer_module_for_data_files
                  raise DataFilesNotFoundError("No (supported) data files found" + (f" in {path}" if path else ""))
              datasets.exceptions.DataFilesNotFoundError: No (supported) data files found in scaomath/navier-stokes-dataset

Need help to make the dataset viewer work? Open a discussion for direct support.

Navier Stokes Dataset of Isotropic Turbulence in a periodic box

The dataset for tensor-to-tensor or trajectory-to-trajectory neural operators, generated from Navier-Stokes equations to model the isotropic turbulence [1] such that the spectra satisfy the inverse cascade discovered by A.N. Kolmogorov [2].

[1]: McWilliams, J. C. (1984). The emergence of isolated coherent vortices in turbulent flow. Journal of Fluid Mechanics, 146, 21-43. [2]: Kolmogorov, A. N. (1941). The local structure of turbulence in incompressible viscous fluid for very large Reynolds Numbers. Dokl. Akad. Nauk SSSR, 30, 301.

Dataset Details

Dataset Description

The dataset contains several cases of isotropic turbulence modeled by Navier-Stokes equations. The data are generated either by a pseudo-spectral solver with 4th-order Runge-Kutta for the convection term, or a higher order Finite Volume IMEX methods. The different initial conditions have different peak wavenumbers of O(1), and eventually their spectra all converge to the Kolmogorov inverse cascade.

  • Curated by: S. Cao
  • Funded by National Science Foundation: NSF award DMS-2309778
  • License: MIT license

Dataset Sources [optional]

Dataset Structure

Each individual chunk of data is pickled in single-file format.

Dataset Creation

TO-DO

Citation 

@article{2024SpectralRefiner,
  title={Spectral-Refiner: Fine-Tuning of Accurate Spatiotemporal Neural Operator for Turbulent Flows},
  author={Shuhao Cao and Francesco Brarda and Ruipeng Li and Yuanzhe Xi},
  journal={arXiv preprint arXiv:2405.17211},
  year={2024},
  primaryClass={cs.LG}
}
Downloads last month
0
Edit dataset card