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case_id
int64
0
1.43k
mach
float64
0.4
1.2
reynolds
float64
1.07M
100M
temperature
float64
220
310
cl_target
float64
0.5
1.5
area_ratio_min
float64
0.75
1
area_initial
float64
0.03
0.22
cd
float64
0.01
0.64
cl
float64
0.35
1.5
cl_con_violation
float64
-0.45
0
area_ratio
float64
0.75
1.14
initial_design
dict
optimal_design
dict
6
0.423013
25,886,517.791748
277.230633
1.271737
0.983942
0.031209
0.009481
1.271733
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0.983954
{ "angle_of_attack": 5.994855173257575, "coords": [ [ 0.999975510803579, 0.0005909828388176399 ], [ 0.99971280159491, 0.000676805055083241 ], [ 0.9989074660396121, 0.0008465746561145339 ], [ 0.997531364613149, 0.0009547942517205509 ], ...
{ "angle_of_attack": 3.032473744109874, "coords": [ [ 0.999975510803579, 0.00002077173640427343 ], [ 0.9997069887471995, 0.00010020673906491831 ], [ 0.9989015520985649, 0.00033786865932829667 ], [ 0.99755983343716, 0.0007326565084342177 ...
5
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{ "angle_of_attack": -0.2936021255184956, "coords": [ [ 1, 0.0008310576647085826 ], [ 0.99973861321611, 0.0009208712447211156 ], [ 0.9989360633728906, 0.0011037094606409636 ], [ 0.9975617726318262, 0.0012336704629413511 ], [ 0...
{ "angle_of_attack": 1.7215484664137763, "coords": [ [ 1, 0.0000021168367643614245 ], [ 0.9997302400250103, 0.00006436763678314207 ], [ 0.9989179183408385, 0.0002351108966276332 ], [ 0.9975590041216102, 0.0004906592567577147 ], [ ...
0
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{ "angle_of_attack": 9.195733763758469, "coords": [ [ 0.9999755108024979, 0.000557588415624549 ], [ 0.9997191889955758, 0.0006802933810728566 ], [ 0.9989222676037379, 0.0009664169607900326 ], [ 0.9975364773656574, 0.0012731870303710924 ...
{ "angle_of_attack": 6.394471662414888, "coords": [ [ 0.9999755108024979, 0.000018266390378447942 ], [ 0.9997111263024311, 0.0000936768327076861 ], [ 0.9989136142825671, 0.0003019320785012478 ], [ 0.9975767545023688, 0.0006154985850565163 ...
4
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{ "angle_of_attack": 7.880644835431429, "coords": [ [ 1, 0.0008578020522526661 ], [ 0.9997378079004713, 0.0009460540567268021 ], [ 0.9989333189311603, 0.001123804803726327 ], [ 0.9975569672583308, 0.0012454712187051215 ], [ 0....
{ "angle_of_attack": 8.746662754310881, "coords": [ [ 1, -0.00003101938816865692 ], [ 0.9997462062856801, 0.00007791351567237257 ], [ 0.9989777929422907, 0.000386142628837247 ], [ 0.9976815307787513, 0.0008578182011478039 ], [ ...
10
1.007153
39,423,283.223022
249.432399
0.627215
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0.035128
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0.627215
-0
0.769485
{ "angle_of_attack": 2.5972932461503433, "coords": [ [ 1, 0.0005110377630599417 ], [ 0.9997380759385857, 0.000600385546133553 ], [ 0.998934112175475, 0.0007821106672214233 ], [ 0.997557941256588, 0.0009111473373256461 ], [ 0.9...
{ "angle_of_attack": 3.6358714405650643, "coords": [ [ 1, 0.00005561581719258258 ], [ 0.9997320193649443, 0.00011301703207050666 ], [ 0.9989242350720324, 0.00026262604033038754 ], [ 0.9975712229888538, 0.0004699131545517917 ], [ ...
7
0.92692
86,481,073.380062
225.97994
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{ "angle_of_attack": -0.26911842802375896, "coords": [ [ 1, 0.000533617555583067 ], [ 0.9997372862076535, 0.0006189937172583663 ], [ 0.9989319868150254, 0.0007866126586526302 ], [ 0.9975562251690977, 0.0008905437147982035 ], [ ...
{ "angle_of_attack": 3.0627058493432164, "coords": [ [ 1, 0.00007041923529599226 ], [ 0.9997322966889132, 0.00012864569402204698 ], [ 0.9989249130805117, 0.00027839785841654656 ], [ 0.9975717801613202, 0.00048165982401641175 ], [ ...
8
0.642665
11,959,054.07474
261.820286
1.377551
0.95548
0.039528
0.012192
1.377551
0
0.95548
{ "angle_of_attack": 4.111368283350013, "coords": [ [ 1, 0.0009202571610061165 ], [ 0.9997376337992407, 0.0010104392635027276 ], [ 0.9989321087203618, 0.0011946653667660276 ], [ 0.997552892019186, 0.001327996419293651 ], [ 0.9...
{ "angle_of_attack": 3.632617481621992, "coords": [ [ 1, -0.000007757439165326215 ], [ 0.9997338294329051, 0.00007387107610483908 ], [ 0.9989314665426581, 0.0003041619707665769 ], [ 0.99758724792906, 0.0006599588122358595 ], [ ...
15
1.109745
57,134,236.898529
284.298359
0.787202
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0.032942
0.085654
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{ "angle_of_attack": 6.858688328025377, "coords": [ [ 1, 0.0004776265382322889 ], [ 0.9997384099047827, 0.0005681050267050896 ], [ 0.9989350438589877, 0.0007529826577894286 ], [ 0.9975590823061585, 0.0008869135027731979 ], [ 0...
{ "angle_of_attack": 5.084117856212758, "coords": [ [ 1, 0.000031250000498561926 ], [ 0.9997351241631046, 0.00010268392283909508 ], [ 0.9989355177631706, 0.0002947647767150681 ], [ 0.9975936669366032, 0.0005720281323586361 ], [ ...
16
0.469988
24,658,196.538266
251.619042
0.955297
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0.054115
0.008517
0.955296
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0.945341
{ "angle_of_attack": 2.8645495934004366, "coords": [ [ 1, 0.0005272576683580992 ], [ 0.9997409588439133, 0.0006280885774451933 ], [ 0.998942322299606, 0.0008463875486730849 ], [ 0.9975668091337124, 0.0010347275234720095 ], [ 0...
{ "angle_of_attack": 2.275227029161257, "coords": [ [ 1, 0.000020882143462978745 ], [ 0.9997290172445085, 0.00008727211801850946 ], [ 0.9989155007590143, 0.00028276947554385645 ], [ 0.9975590895325259, 0.0006019529618866595 ], [ ...
1
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47,258,790.887993
293.140615
0.591583
0.803596
0.048358
0.032918
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0
0.803596
{ "angle_of_attack": 7.939408469757661, "coords": [ [ 1, 0.0006707653779744258 ], [ 0.9999367352268185, 0.0009422583860477382 ], [ 0.9994738264611108, 0.001478487914021487 ], [ 0.998112580582544, 0.001770953719938024 ], [ 0.99...
{ "angle_of_attack": 1.8051064267636725, "coords": [ [ 1, 0.00022642655486691872 ], [ 0.9998554666749022, 0.0004593355172444024 ], [ 0.9990674718471116, 0.0006300232741339748 ], [ 0.9977176166000085, 0.0008584912033048633 ], [ ...
20
0.433125
16,032,636.218226
237.098236
0.948839
0.784688
0.058981
0.008916
0.948829
-0.000005
0.784688
{ "angle_of_attack": 1.089784392783713, "coords": [ [ 0.9999846941112693, 0.0006917251517617225 ], [ 0.9999192441659467, 0.0009626840754003923 ], [ 0.9994387985520661, 0.0014608775939170026 ], [ 0.9980594426159947, 0.001649803425871594 ...
{ "angle_of_attack": 2.177823718378372, "coords": [ [ 0.9999846941112693, 0.00008601960486278812 ], [ 0.9997613713432036, 0.00024538872158790453 ], [ 0.9989492126623881, 0.00044415988444758284 ], [ 0.9975966016565572, 0.0007752036433541742 ...
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OptiWing Airfoil 2D

Initial and optimized airfoil designs with the flow conditions, objectives, and constraint violations — EngiBench airfoil_v0-style.

This is the 2D OptiWing aerodynamic shape-optimization dataset, formatted to match the EngiBench airfoil convention (one row per optimization case). The three OptiWing-2D datasets share case_id, so a row in one joins to the same case in the others. All three are built from a single raw resampling pass, so their geometry and fields are identical where they overlap.

Geometry is chord-normalized (divided by the true chord c = max(x) − min(x)) and vertically shifted so the trailing-edge midpoint sits at y/c = 0: coords columns are (x/c, y/c) on a shared 192-point cosine arc grid (arc ∈ [0, 1], ordered TE → upper → LE → lower → TE). The 2D area is the analogue of the 3D paper's volume constraint; area_ratio is the achieved area / initial area at the optimum.

Splits

split examples
train 878
val 49
test 107

Splits are at the case level and shared with the OptiWing 3D companion data, so paired 2D/3D cases land in the same split.

Features

field type description
case_id int optimization case id (shared across all three datasets)
mach float freestream Mach number (sampled input condition)
reynolds float Reynolds number (sampled input condition)
temperature float freestream static temperature [K] (sampled input condition)
cl_target float target lift coefficient (input condition / constraint)
area_ratio_min float minimum allowable area ratio (input constraint)
area_initial float chord-normalized area of the initial section (shoelace)
cd float optimized drag coefficient (objective)
cl float optimized lift coefficient (≈ cl_target)
cl_con_violation float lift-constraint violation at the optimum
area_ratio float achieved area / initial area at the optimum
initial_design struct {angle_of_attack, coords: [[x/c, y/c], …] (192×2)}
optimal_design struct {angle_of_attack, coords: [[x/c, y/c], …] (192×2)}

Loading

from datasets import load_dataset
ds = load_dataset("Cashen/optiwing-airfoil-2d-v0")
print(ds["train"][0].keys())

Citation

This dataset does not yet have a companion paper or DOI. Until one exists, please cite the dataset directly by its Hugging Face URL and cite the prior-version works in "Built upon".

@misc{optiwing_airfoil_2d_2026_basic,
  title        = {OptiWing Airfoil 2D (basic): a 2D aerodynamic shape-optimization dataset},
  author       = {Cashen Diniz and Mark Fuge},
  year         = {2026},
  publisher    = {Hugging Face},
  howpublished = {Hugging Face Datasets},
  url          = {https://huggingface.co/datasets/Cashen/optiwing-airfoil-2d-v0},
  note         = {Version v0}
}

Built upon

This is a new dataset (wider parameter bounds, full surface fields, and complete optimization trajectories), but its lineage and format derive from prior work — please cite these as well:

@misc{diniz2025optiwing3d,
  title         = {OptiWing3D: A Diverse Dataset of Optimized Wing Designs},
  author        = {Diniz, Cashen and Fuge, Mark D.},
  year          = {2025},
  eprint        = {2512.12867},
  archivePrefix = {arXiv},
  doi           = {10.48550/arXiv.2512.12867},
  url           = {https://arxiv.org/abs/2512.12867}
}

@inproceedings{felten2025engibench,
  title     = {EngiBench: A Framework for Data-Driven Engineering Design Research},
  author    = {Felten, Florian and Apaza, Gabriel and Br\"{a}unlich, Gerhard and
               Diniz, Cashen and Dong, Xuliang and Drake, Arthur and Habibi, Milad and
               Hoffman, Nathaniel J. and Keeler, Matthew and Massoudi, Soheyl and
               VanGessel, Francis G. and Fuge, Mark},
  booktitle = {Advances in Neural Information Processing Systems (NeurIPS),
               Datasets and Benchmarks Track},
  year      = {2025},
  eprint    = {2508.00831},
  archivePrefix = {arXiv},
  url       = {https://arxiv.org/abs/2508.00831}
}

The EngiBench airfoil format this dataset mirrors is airfoil_v0: https://huggingface.co/datasets/IDEALLab/airfoil_v0.

License

cc-by-nc-sa-4.0

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