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Cannot load the dataset split (in streaming mode) to extract the first rows.
Error code:   StreamingRowsError
Exception:    CastError
Message:      Couldn't cast
shape: list<item: int64>
  child 0, item: int64
data_type: string
chunk_grid: struct<name: string, configuration: struct<chunk_shape: list<item: int64>>>
  child 0, name: string
  child 1, configuration: struct<chunk_shape: list<item: int64>>
      child 0, chunk_shape: list<item: int64>
          child 0, item: int64
chunk_key_encoding: struct<name: string, configuration: struct<separator: string>>
  child 0, name: string
  child 1, configuration: struct<separator: string>
      child 0, separator: string
fill_value: double
codecs: list<item: struct<name: string, configuration: struct<chunk_shape: list<item: int64>, codecs: list<i (... 261 chars omitted)
  child 0, item: struct<name: string, configuration: struct<chunk_shape: list<item: int64>, codecs: list<item: struct (... 249 chars omitted)
      child 0, name: string
      child 1, configuration: struct<chunk_shape: list<item: int64>, codecs: list<item: struct<name: string, configuration: struct (... 212 chars omitted)
          child 0, chunk_shape: list<item: int64>
              child 0, item: int64
          child 1, codecs: list<item: struct<name: string, configuration: struct<endian: string, typesize: int64, cname: string (... 53 chars omitted)
              child 0, item: struct<name: string, configuration: struct<endian: string, typesize: int64, cname: string, clevel: i (... 41 chars omitted)
                  child 0, name: string
                  child 1, configuration: struct<endian: string, typesize: int64, cname: string, clevel: int64, shuffle: string, blocksize: in (... 4 chars omitted)
                      child 0, endian: string
                      child 1, typesize: int64
                      child 2, cname: string
                      child 3, clevel: int64
                      child 4, shuffle: string
                      child 5, blocksize: int64
          child 2, index_codecs: list<item: struct<name: string, configuration: struct<endian: string>>>
              child 0, item: struct<name: string, configuration: struct<endian: string>>
                  child 0, name: string
                  child 1, configuration: struct<endian: string>
                      child 0, endian: string
          child 3, index_location: string
attributes: struct<>
dimension_names: list<item: string>
  child 0, item: string
zarr_format: int64
node_type: string
storage_transformers: list<item: null>
  child 0, item: null
prefix: string
repo_id: string
revision: string
to
{'repo_id': Value('string'), 'revision': Value('string'), 'prefix': Value('string')}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/src/services/worker/src/worker/utils.py", line 147, in get_rows_or_raise
                  return get_rows(
                      dataset=dataset,
                  ...<4 lines>...
                      column_names=column_names,
                  )
                File "/src/libs/libcommon/src/libcommon/utils.py", line 272, in decorator
                  return func(*args, **kwargs)
                File "/src/services/worker/src/worker/utils.py", line 127, in get_rows
                  rows_plus_one = list(itertools.islice(safe_iter(ds, dataset=dataset), rows_max_number + 1))
                File "/src/services/worker/src/worker/utils.py", line 483, in safe_iter
                  yield from ds.decode(False) if ds.features else ds
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 2840, in __iter__
                  for key, example in ex_iterable:
                                      ^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 2373, in __iter__
                  for key, pa_table in self._iter_arrow():
                                       ~~~~~~~~~~~~~~~~^^
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 2398, in _iter_arrow
                  for key, pa_table in self.ex_iterable._iter_arrow():
                                       ~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 536, in _iter_arrow
                  for key, pa_table in iterator:
                                       ^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/iterable_dataset.py", line 419, in _iter_arrow
                  for key, pa_table in self.generate_tables_fn(**gen_kwags):
                                       ~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2378, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2306, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              shape: list<item: int64>
                child 0, item: int64
              data_type: string
              chunk_grid: struct<name: string, configuration: struct<chunk_shape: list<item: int64>>>
                child 0, name: string
                child 1, configuration: struct<chunk_shape: list<item: int64>>
                    child 0, chunk_shape: list<item: int64>
                        child 0, item: int64
              chunk_key_encoding: struct<name: string, configuration: struct<separator: string>>
                child 0, name: string
                child 1, configuration: struct<separator: string>
                    child 0, separator: string
              fill_value: double
              codecs: list<item: struct<name: string, configuration: struct<chunk_shape: list<item: int64>, codecs: list<i (... 261 chars omitted)
                child 0, item: struct<name: string, configuration: struct<chunk_shape: list<item: int64>, codecs: list<item: struct (... 249 chars omitted)
                    child 0, name: string
                    child 1, configuration: struct<chunk_shape: list<item: int64>, codecs: list<item: struct<name: string, configuration: struct (... 212 chars omitted)
                        child 0, chunk_shape: list<item: int64>
                            child 0, item: int64
                        child 1, codecs: list<item: struct<name: string, configuration: struct<endian: string, typesize: int64, cname: string (... 53 chars omitted)
                            child 0, item: struct<name: string, configuration: struct<endian: string, typesize: int64, cname: string, clevel: i (... 41 chars omitted)
                                child 0, name: string
                                child 1, configuration: struct<endian: string, typesize: int64, cname: string, clevel: int64, shuffle: string, blocksize: in (... 4 chars omitted)
                                    child 0, endian: string
                                    child 1, typesize: int64
                                    child 2, cname: string
                                    child 3, clevel: int64
                                    child 4, shuffle: string
                                    child 5, blocksize: int64
                        child 2, index_codecs: list<item: struct<name: string, configuration: struct<endian: string>>>
                            child 0, item: struct<name: string, configuration: struct<endian: string>>
                                child 0, name: string
                                child 1, configuration: struct<endian: string>
                                    child 0, endian: string
                        child 3, index_location: string
              attributes: struct<>
              dimension_names: list<item: string>
                child 0, item: string
              zarr_format: int64
              node_type: string
              storage_transformers: list<item: null>
                child 0, item: null
              prefix: string
              repo_id: string
              revision: string
              to
              {'repo_id': Value('string'), 'revision': Value('string'), 'prefix': Value('string')}
              because column names don't match

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Native Navier–Stokes simulation voxels

Lossless exports of velocity and manufactured forcing from Oliver's completed AMReX / incflo experiment. The source has 280 saved states from exact rest through t = 0.995, including an exactly quiescent interval through t = 0.55. An explicitly labeled prototype may contain fewer states; each release's manifest.json is authoritative about its coverage.

Layout and access

Each content-addressed releases/<manifest-hash-prefix>/ directory contains manifest.json, source-best.json, and fields.zarr. The manifest lists actual times, source plotfile names, component order, level geometry, and per-frame, per-level SHA-256 hashes of uncompressed values. Publication never overwrites another release. Pin both the dataset commit and release prefix when citing, downloading, or analyzing the fields.

fields.zarr/level_0 through level_4 have axes (t, x, y, z, component). Every level occupies a 64 × 64 × 64 rectangular native patch. Components are u_x, u_y, u_z, f_x, f_y, f_z, stored as little-endian float64 in nondimensional model units. Origins are cell-boundary coordinates; cell centers are origin + (index + 0.5) * spacing.

The full periodic domain is [−1,1]³. The base spacing is 2/64; four fixed inner cubes have half-widths 0.5, 0.25, 0.125, and 0.0625, with spacing halved at each level. Thus 1024³-equivalent spacing applies only to the innermost core. There are 1,310,720 stored cells and 1,179,648 active composite cells per state. Covered coarse cells are retained for fidelity to the native files. Exclude them from composite integrals and select the finest containing cell for slices.

Zarr v3 uses lossless Blosc Zstd/bitshuffle compression, 8³-cell chunks split into velocity and force triplets, and one shard per level per saved state. The entire uncompressed field payload is 16.40625 GiB. No dense 1024³ regridding, float32 conversion, spatial smoothing, or temporal interpolation is performed. Pressure, ghost cells, and solver checkpoints are not included.

Use Zarr 3.3 and huggingface_hub / fsspec to open hf://datasets/ccm/navier-stokes-singularity-simulation@<commit>/releases/<hash>/fields.zarr. The interactive Space provides a three-plane viewer without requiring a whole-history download.

Validation and limitations

Each exported level is read back and compared exactly with its native float64 values. Checks also require finite fields, exact rest, source timestamps, active-grid peak speed, full-domain volume, and endpoint kinetic energy. Independent C++ slice comparisons test all three axes, and synthetic nested-grid tests check axis order, boundary selection, and refinement precedence.

These are archive and visualization integrity checks, not accuracy bounds. The experiment uses a finite, localized, three-pulse manufactured-force surrogate inspired by the analytical construction. It does not implement that construction's exact infinite hierarchy or certify a Navier–Stokes singularity. The coarser outer grid can remain under-resolved; resampling cannot repair it.

Provenance and reuse

Created by Chris McComb's independent numerical project, not affiliated with OpenAI. Run settings, upstream solver revisions, archive hashes, and diagnostics are retained in each release's source-best.json.

Released under the project's MIT license. Cite this dataset's repository, immutable commit, release prefix, and source run ID so the exact fields remain identifiable.

Current verified release

280 states, complete history; t = 0.0 to 0.995.

  • Dataset commit: 25266bfc068a729fb169833521eeddfde9c943e9
  • Release: releases/9be10c40938a9d02
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