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train
larger_circle_0002
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circle
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1
0
0.000001
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0
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second-order
rest
10,774
467
19.76
21
45,548
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Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
12
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0
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128.16
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Intel(R) Xeon(R) CPU E5-2670 v2 @ 2.50GHz
20
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0
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Intel(R) Xeon(R) CPU E5-2670 v2 @ 2.50GHz
20
3159724
sha256:ae5bc11fb90901b2d7cab7012fb91a211a268a865f19aef7cd2b3d6e6a2d0364
9bd51ab4fe4ec83608141847860be8f8d9461b9a
2026-10-05T04:40:36+0300
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0
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second-order
base_lu
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2,140
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be10
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
12
3189102
sha256:ae5bc11fb90901b2d7cab7012fb91a211a268a865f19aef7cd2b3d6e6a2d0364
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2026-10-15T09:30:50+0300
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6,701
1
0
0.000001
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0
null
second-order
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676,432
6,701
35,568.3
35,678
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da02
Intel(R) Xeon(R) CPU E5-2670 v2 @ 2.50GHz
20
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sha256:ae5bc11fb90901b2d7cab7012fb91a211a268a865f19aef7cd2b3d6e6a2d0364
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2026-10-05T19:32:51+0300
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0
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1
train
larger_circle_0003
larger
circle
3
2,026
33.5564
33.423
19.7909
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8.8992
1
108.6
139.92
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101.46
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58.74
85.77
79.97
125.96
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1
0
0.000001
0
true
0
null
second-order
rest
10,816
329
13.7
15
45,644
be07
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
12
3164869
sha256:ae5bc11fb90901b2d7cab7012fb91a211a268a865f19aef7cd2b3d6e6a2d0364
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2026-10-05T15:36:58+0300
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0
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converged
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1
0
0.000001
0
true
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null
first-order
rest
42,871
814
136.83
139
83,100
be08
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
12
3169407
sha256:ae5bc11fb90901b2d7cab7012fb91a211a268a865f19aef7cd2b3d6e6a2d0364
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2026-10-05T19:37:03+0300
173.24
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49.203
0
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0.000001
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second-order
rest
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938
164.78
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train
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second-order
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train
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first-order
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second-order
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second-order
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first-order
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second-order
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first-order
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first-order
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2026-10-05T19:56:22+0300
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second-order
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42,965
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88,908
da04
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3160013
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2026-10-05T05:01:09+0300
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second-order
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be02
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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2026-10-15T12:32:03+0300
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second-order
base_lu
681,549
6,249
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954,440
da01
Intel(R) Xeon(R) CPU E5-2670 v2 @ 2.50GHz
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sha256:ae5bc11fb90901b2d7cab7012fb91a211a268a865f19aef7cd2b3d6e6a2d0364
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2026-10-06T13:03:12+0300
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train
larger_circle_0021
larger
circle
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50.94
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converged
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1
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0.000001
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null
second-order
rest
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44,732
da02
Intel(R) Xeon(R) CPU E5-2670 v2 @ 2.50GHz
20
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sha256:ae5bc11fb90901b2d7cab7012fb91a211a268a865f19aef7cd2b3d6e6a2d0364
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2026-10-05T16:02:10+0300
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converged
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null
first-order
rest
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68.22
69
88,536
da02
Intel(R) Xeon(R) CPU E5-2670 v2 @ 2.50GHz
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2026-10-05T19:55:21+0300
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second-order
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636
168.21
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89,500
da04
Intel(R) Xeon(R) CPU E5-2670 v2 @ 2.50GHz
20
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2026-10-05T05:01:12+0300
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second-order
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be09
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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2026-10-15T12:30:36+0300
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0.000001
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second-order
base_lu
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be09
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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2026-10-06T11:20:03+0300
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train
larger_circle_0025
larger
circle
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second-order
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10,769
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45,196
da02
Intel(R) Xeon(R) CPU E5-2670 v2 @ 2.50GHz
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2026-10-05T16:07:16+0300
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first-order
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98.01
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86,576
be07
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2026-10-05T19:58:40+0300
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converged
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second-order
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43,090
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be09
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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2026-10-05T05:05:02+0300
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second-order
base_lu
171,183
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be08
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2026-10-15T12:47:43+0300
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second-order
base_lu
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22,907.5
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be09
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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2026-10-06T13:19:48+0300
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train
larger_circle_0026
larger
circle
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converged
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0.000001
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null
second-order
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10,925
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11.01
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45,076
be05
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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converged
564
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first-order
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43,232
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be11
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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2026-10-05T20:00:46+0300
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second-order
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be11
Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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2026-10-05T05:07:13+0300
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second-order
base_lu
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2026-10-15T13:04:43+0300
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second-order
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Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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train
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larger
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second-order
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Intel(R) Xeon(R) CPU E5-2670 v2 @ 2.50GHz
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2026-10-06T06:34:59+0300
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first-order
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Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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2026-10-05T20:07:27+0300
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second-order
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2026-10-05T05:26:14+0300
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second-order
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Intel(R) Xeon(R) CPU E5-2640 0 @ 2.50GHz
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129.02
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End of preview. Expand in Data Studio

MS-COFD-2DSL: Multi-Scale Central Object Flow Dataset, 2D Steady Laminar

MS-COFD-2DSL holds 4,500 two-dimensional, steady, laminar channel flows past one obstacle. Each flow was solved to convergence with OpenFOAM at five fidelities, from a 2 mm to a 0.25 mm mesh. This repository holds the fields of every run on regular grids, a table of the settings and attributes of every case and run, the mesh study of every attribute and the numerical uncertainty of every label. The complete OpenFOAM case of every run is a separate dataset: asaydam/ms-cofd-2dsl-raw.

The data card DATACARD.md in this repository describes the channels, grids, attributes, caveats, provenance and validation in full. Read its caveats before you use an attribute as a target.

Contents

<run>/<split>.h5            the fields of the cases of a split, on the grid of the run
metadata.parquet            one row per case (259 columns): parameters, geometry, split, and per run its settings,
metadata.csv                iterations, residuals, cost and attributes
mesh_study.parquet          values of every level, order, extrapolation and grid convergence index per case and
                            attribute
surface.parquet             pressure and wall shear on every obstacle face, every case and run
label_uncertainty.parquet   numerical uncertainty of the 19 attributes of every case
dropped_cases.csv           the 18 cases whose 1 mm second-order run did not converge, replaced by reserve geometries
dataset_info.json           counts, runs, grids, normalisation statistics, revisions
DATACARD.md                 the data card
checksums.md5               MD5 of every other file
Run Mesh Convection Array grid (nx × ny) Size
0.25x 2 mm second order 180 × 60 1.2 GB
base_fo 1 mm first order 360 × 120 4.7 GB
base_lu 1 mm second order 360 × 120 4.7 GB
4x 0.5 mm second order 720 × 240 18.7 GB
16x 0.25 mm second order 1440 × 480 74.7 GB

The tables add about 0.2 GB, about 104 GB in all. The 0.25 mm run is the label. Every run was iterated until the initial residuals of U and p were below 10⁻⁶.

Split Cases Content
train 3,085 80 % of the in-distribution cases of every size and family
val 385 10 %
test 386 10 %
ood_blockage 224 blockage ratio above the 95th percentile
ood_rotation 216 absolute rotation above the 95th percentile
ood_position 204 position shift furthest from the middle of its range

The three ood_ splits are out-of-distribution test sets, held out of train, val and test.

Download

The whole repository is about 104 GB. A run or a split can be downloaded alone:

from huggingface_hub import snapshot_download
snapshot_download("asaydam/ms-cofd-2dsl", repo_type="dataset", local_dir="ms-cofd-2dsl",
                  allow_patterns=["*.parquet", "*.csv", "*.json", "*.md", "*.md5", "base_lu/*", "16x/test.h5"])
cd ms-cofd-2dsl
md5sum -c --ignore-missing checksums.md5      # checks the downloaded files

Reading the data

import h5py
import pandas as pd

metadata = pd.read_parquet("ms-cofd-2dsl/metadata.parquet")
test = metadata[metadata["split"] == "test"]           # in the order of the rows of every <run>/test.h5
with h5py.File("ms-cofd-2dsl/base_lu/test.h5") as f:
    assert list(f["case_name"].asstr()[:]) == list(test["case_name"])
    print(dict(f.attrs))                               # channel names, grid, mean and std over the train split
    sample = f["fields"][0]                            # (6, 360, 120) float32, one sample per chunk
drag = test["16x.Fx"]                                  # attributes of a run: <run>.<attribute>
  • Channels: 0 u_x and 1 u_y (m/s), 2 p (kinematic pressure, m²/s², 0 at the outlet), 3 wall_distance (to the closer channel wall, in grid points), 4 cell_type (1 wall or obstacle, 2 inlet, 3 outlet, 4 fluid), 5 obstacle_sdf (signed distance to the obstacle outline in grid points, negative inside).
  • Grid: point (i, j) lies at x = i · 360 / (nx − 1) mm and y = j · 120 / (ny − 1) mm, with the inlet at i = 0.
  • Rows: row i is the same case in all five runs of a split.
  • Attributes (drag, lift, recirculation, wake, dissipation and more) are computed on the simulation mesh by OpenFOAM. Their uncertainty is in label_uncertainty.parquet.

Code

  • The generation pipeline, ms-cofd-2dsl (tag data-v1.0.0), makes every file of this repository from the archived cases.
  • The benchmark, ms-cofd-2dsl-bench, defines tasks and metrics, and holds readers, baselines and reference networks.

Citation and licence

A dataset paper is in preparation. Until it is out, please cite the dataset:

@misc{saydam2026mscofd2dsl,
  author    = {Alper Saydam and Barış Akgün},
  title     = {ms-cofd-2dsl (Revision b312def)},
  year      = {2026},
  publisher = {Hugging Face},
  doi       = {10.57967/hf/11554},
  url       = {https://huggingface.co/datasets/asaydam/ms-cofd-2dsl}
}

The dataset is licensed under CC BY 4.0: you may share and adapt it for any purpose, including commercially, if you give credit by citing it and indicate any changes.

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