DragSolver: A Multi-Scale Transformer for Real-World Automotive Drag Coefficient Estimation

Abstract

Automotive drag coefficient ($C_d$) is pivotal to energy efficiency, fuel consumption, and aerodynamic performance. However, costly computational fluid dynamics (CFD) simulations and wind tunnel tests struggle to meet the rapid-iteration demands of automotive design. We present DragSolver, a Transformer-based framework for rapid and accurate $C_d$ estimation from large-scale, diverse 3D vehicle models. DragSolver tackles four key real-world challenges: (1) multi-scale feature extraction to capture both global shape and fine local geometry; (2) heterogeneous scale normalization to handle meshes with varying sizes and densities; (3) surface-guided gating to suppress internal structures irrelevant to external aerodynamics; and (4) epistemic uncertainty estimation via Monte Carlo dropout for risk-aware design. Extensive evaluations on three industrial-scale datasets (DrivaerNet, DrivaerNet++, and DrivaerML) show that DragSolver outperforms existing approaches in accuracy and generalization, achieving an average reduction of relative $L_2$ error by 58.7% across real-world datasets. Crucially, DragSolver is the first to achieve reliable, real-time $C_d$ inference on production-level automotive geometries.

Cite

Text

Liu and Chen. "DragSolver: A Multi-Scale Transformer for Real-World Automotive Drag Coefficient Estimation." Proceedings of the 42nd International Conference on Machine Learning, 2025.

Markdown

[Liu and Chen. "DragSolver: A Multi-Scale Transformer for Real-World Automotive Drag Coefficient Estimation." Proceedings of the 42nd International Conference on Machine Learning, 2025.](https://mlanthology.org/icml/2025/liu2025icml-dragsolver/)

BibTeX

@inproceedings{liu2025icml-dragsolver,
  title     = {{DragSolver: A Multi-Scale Transformer for Real-World Automotive Drag Coefficient Estimation}},
  author    = {Liu, Ye and Chen, Yuntian},
  booktitle = {Proceedings of the 42nd International Conference on Machine Learning},
  year      = {2025},
  pages     = {38102-38118},
  volume    = {267},
  url       = {https://mlanthology.org/icml/2025/liu2025icml-dragsolver/}
}