Dataset Viewer
Duplicate
The dataset viewer is not available for this split.
Cannot load the dataset split (in streaming mode) to extract the first rows.
Error code:   StreamingRowsError
Exception:    ValueError
Message:      Dataset 'forcing' has length 128 but expected 1
Traceback:    Traceback (most recent call last):
                File "/src/services/worker/src/worker/utils.py", line 99, in get_rows_or_raise
                  return get_rows(
                         ^^^^^^^^^
                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 77, in get_rows
                  rows_plus_one = list(itertools.islice(ds, rows_max_number + 1))
                                  ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/iterable_dataset.py", line 2815, in __iter__
                  for key, example in ex_iterable:
                                      ^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/iterable_dataset.py", line 2352, in __iter__
                  for key, pa_table in self._iter_arrow():
                                       ^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/iterable_dataset.py", line 2377, in _iter_arrow
                  for key, pa_table in self.ex_iterable._iter_arrow():
                                       ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/iterable_dataset.py", line 536, in _iter_arrow
                  for key, pa_table in iterator:
                                       ^^^^^^^^
                File "/usr/local/lib/python3.12/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/python3.12/site-packages/datasets/packaged_modules/hdf5/hdf5.py", line 80, in _generate_tables
                  num_rows = _check_dataset_lengths(h5, self.info.features)
                             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.12/site-packages/datasets/packaged_modules/hdf5/hdf5.py", line 359, in _check_dataset_lengths
                  raise ValueError(f"Dataset '{path}' has length {dset.shape[0]} but expected {num_rows}")
              ValueError: Dataset 'forcing' has length 128 but expected 1

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Traveling Wave Database

This is a database of equilibria (EQ) and traveling waves (TW) (also known as relative equilibria) for Kolmogorov flow with the parameters commonly used in the literature. Specifically nu=1/40 and a vorticity forcing of -4cos(4y). The boundary conditions are periodic and the domain is [0,2pi]^2.

Currently providing 534 EQ and 6,134 TW.

I saved these to independent h5 files with example MATLAB and Python scripts to access the data.

EQ.h5 - EQ dataset

TW.h5 - TW dataset

example.m - Load solutions in MATLAB and verify they solve the TW condition.

example.py- Load solutions in Python

TW_objective.m - Clarify any uncertainty in conventions by evaluating the TW condition.

I did a sweep to check for duplicates, but no promises that there are absolutely none. These solutions appear in no particular order. While all solutions are converged below 1e-12 in the TW condition, this does not mean the solution itself is that accurate. I have not done a convergence study in grid resolution or beyond double precision.

Contact Matthew Golden (mgolden@lanl.gov) with questions or comments. My plan is to update this as I find more solutions.

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