Datasets:
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 | -0.000002 | 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 | 0.615095 | 2,461,204.397784 | 225.779619 | 0.832803 | 0.982747 | 0.037456 | 0.010268 | 0.832801 | -0.000001 | 0.982747 | {
"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,
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],
[
0.9997302400250103,
0.00006436763678314207
],
[
0.9989179183408385,
0.0002351108966276332
],
[
0.9975590041216102,
0.0004906592567577147
],
[
... |
0 | 1.197766 | 59,347,209.375062 | 303.41964 | 0.749498 | 0.862656 | 0.045297 | 0.108071 | 0.749498 | -0 | 0.862656 | {
"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 | 1.136606 | 56,273,495.85038 | 292.659821 | 1.11168 | 0.902716 | 0.041131 | 0.197796 | 1.11168 | 0 | 0.902716 | {
"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 | 0.769485 | 0.035128 | 0.056122 | 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 | 0.679522 | 0.878618 | 0.028632 | 0.051731 | 0.679522 | -0 | 0.878618 | {
"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 | 0.768739 | 0.032942 | 0.085654 | 0.787201 | -0 | 0.768739 | {
"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 | 0.945341 | 0.054115 | 0.008517 | 0.955296 | -0 | 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 | 0.884525 | 47,258,790.887993 | 293.140615 | 0.591583 | 0.803596 | 0.048358 | 0.032918 | 0.591584 | 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
... |
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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