Datasets:
case_id int64 | mach float64 | reynolds float64 | temperature float64 | cl_target float64 | area_ratio_min float64 | area_initial float64 | designs list | adjoint_sensitivities dict |
|---|---|---|---|---|---|---|---|---|
6 | 0.423013 | 25,886,517.791748 | 277.230633 | 1.271737 | 0.983942 | 0.031209 | [{"angle_of_attack":5.994855173257575,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.00245(...TRUNCATED) | {"grad_obj_norm":[0.1928303665544095,0.1251858940903844,0.11512298944910655,0.09239746333291679,0.08(...TRUNCATED) |
5 | 0.615095 | 2,461,204.397784 | 225.779619 | 0.832803 | 0.982747 | 0.037456 | [{"angle_of_attack":-0.2936021255184956,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.002(...TRUNCATED) | {"grad_obj_norm":[0.014698523443181169,0.4006603464349458,0.09774830514668859,0.20546698199093383,0.(...TRUNCATED) |
0 | 1.197766 | 59,347,209.375062 | 303.41964 | 0.749498 | 0.862656 | 0.045297 | [{"angle_of_attack":9.195733763758469,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.00245(...TRUNCATED) | {"grad_obj_norm":[1.4749487511826775,0.8029232369782283,1.0990606941750027,1.1583718927990168,0.8756(...TRUNCATED) |
4 | 1.136606 | 56,273,495.85038 | 292.659821 | 1.11168 | 0.902716 | 0.041131 | [{"angle_of_attack":7.880644835431429,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.00245(...TRUNCATED) | {"grad_obj_norm":[1.2592104376141486,null,1.488720743038677,1.350981076500669,1.381189190706135,1.38(...TRUNCATED) |
10 | 1.007153 | 39,423,283.223022 | 249.432399 | 0.627215 | 0.769485 | 0.035128 | [{"angle_of_attack":2.5972932461503433,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.0024(...TRUNCATED) | {"grad_obj_norm":[0.8340568228452218,null,null,0.9185151168486793,1.0558237162643729,1.3223338068553(...TRUNCATED) |
7 | 0.92692 | 86,481,073.380062 | 225.97994 | 0.679522 | 0.878618 | 0.028632 | [{"angle_of_attack":-0.26911842802375896,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.00(...TRUNCATED) | {"grad_obj_norm":[0.8911893019877455,null,null,0.9591590800779111,null,null,1.0071938301067471,0.987(...TRUNCATED) |
8 | 0.642665 | 11,959,054.07474 | 261.820286 | 1.377551 | 0.95548 | 0.039528 | [{"angle_of_attack":4.111368283350013,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.00245(...TRUNCATED) | {"grad_obj_norm":[0.7530868439209798,null,null,0.8551530686609882,0.7663065502550245,0.7604556407511(...TRUNCATED) |
15 | 1.109745 | 57,134,236.898529 | 284.298359 | 0.787202 | 0.768739 | 0.032942 | [{"angle_of_attack":6.858688328025377,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.00245(...TRUNCATED) | {"grad_obj_norm":[1.2153643240890177,null,1.3191201704013658,1.204326834791784,0.9919524672142459,1.(...TRUNCATED) |
16 | 0.469988 | 24,658,196.538266 | 251.619042 | 0.955297 | 0.945341 | 0.054115 | [{"angle_of_attack":2.8645495934004366,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.0024(...TRUNCATED) | {"grad_obj_norm":[0.04059085021588309,0.0796122053293945,0.07803687539452252,0.0662667379562116,0.06(...TRUNCATED) |
1 | 0.884525 | 47,258,790.887993 | 293.140615 | 0.591583 | 0.803596 | 0.048358 | [{"angle_of_attack":7.939408469757661,"arc":[0.0,0.0002733713295369755,0.0010931863906127326,0.00245(...TRUNCATED) | {"grad_obj_norm":[1.6191186689434003,null,1.4936590604781694,1.274695242637244,null,1.35614539377944(...TRUNCATED) |
OptiWing Airfoil 2D — full
Everything: every optimizer iteration with the complete surface-field set, the raw section coordinates at each iteration, the sectional force breakdown, and adjoint sensitivities. Built with adjoint sensitivities.
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) |
Per case the dataset additionally carries:
designs: a list over every optimizer iteration present in the archive. Each entry hasiter,stage(init/intermediate/opt),failed,angle_of_attack, the per-iteration objectives/constraints (cd,cl,cl_con_violation,area_ratio),chord, the raw section coordinatescoords(x/c, y/c)andarc, the sectional force breakdown (cl_sec,cd_sec,cd_pressure_sec,cd_friction_sec), and the complete per-node surface-field set:cp,pressure,density,temperature,velocity_x,velocity_y,velocity_z,cf_x,cf_y,cf_z,yplus,stanton,force_drag,force_lift,sepsensor,sepsensor_ks,sepsensor_ks_area(192 each).adjoint_sensitivities(present when built with adjoint): per-iteration objective sensitivities w.r.t. the FFD shape design variables (sens_obj_wrt_shape), w.r.t. angle of attack (sens_obj_wrt_alpha), and the objective-gradient norm (grad_obj_norm). These are the solver's native adjoint outputs (w.r.t. the FFD parameterization); the geometry itself is given as raw coordinates indesigns.
The geometry trajectory is the raw resampled coordinates at every iteration — not FFD cage values.
velocity_z/cf_zare ≈0 in 2D (no spanwise flow) and kept only for schema parity.
Loading
from datasets import load_dataset
ds = load_dataset("Cashen/optiwing-airfoil-2d-full-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_full,
title = {OptiWing Airfoil 2D (full): 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-full-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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