mlsanityData to 14 Oct 2026

Neural Field Ensembles for Aerodynamic Surface Prediction: Winning Solution to the ONERA CRM Wall Distribution 2025 Challenge

arXiv 2609.17160 ↗First posted 15 Sep 2026cs.LG physics.flu-dyncited by 0

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Abstract (arXiv)

Machine-learning surrogate models offer a promising alternative to high-fidelity Computational Fluid Dynamics (CFD) simulations for aerodynamic analysis and design. However, constructing accurate surrogates for realistic aircraft configurations remain challenging due to complex geometries, multiple flow regimes, and limited training data. This work presents the methodology that achieved first place in the ONERA CRM Wall Distribution Regression Challenge, which focuses on predicting pressure and skin-friction coefficient distributions over the NASA Common Research Model wing-body-pylon-nacelle configuration under different operating conditions. The proposed approach formulates the problem as a conditional neural field mapping spatial coordinates, surface normals, and operating conditions to aerodynamic wall quantities. Fourier feature encoding, a relative squared error objective aligned with the challenge metric, ensemble learning, and k-fold cross-validation are progressively introduced to improve prediction accuracy and exploit the limited training data. Beyond presenting the final methodology, the paper documents the successive model design choices that led to the winning solution through a comprehensive ablation study and discusses several alternative approaches that were investigated but ultimately discarded. On the hidden competition test set, the proposed methodology achieves an overall score of 8.81, outperforming the strongest organizer-provided baseline, which achieved a score of 8.64, while requiring approximately three orders of magnitude fewer trainable parameters. These results illustrate that carefully designed coordinate-based neural fields constitute an efficient and robust framework for aerodynamic surrogate modeling on complex geometries under limited-data conditions.

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References · 19

  1. 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 5,045
  2. 2020Fourier Neural Operator for Parametric Partial Differential Equationscited by 2,908
  3. 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,238
  4. 2020Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domainscited by 2,200
  5. 2018On the Spectral Bias of Neural Networkscited by 1,341
  6. 2020Learning Mesh-Based Simulation with Graph Networkscited by 868
  7. 2022Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's nextcited by 608
  8. 2021Neural Fields in Visual Computing and Beyondcited by 540
  9. 2022Fourier Neural Operator with Learned Deformations for PDEs on General Geometriescited by 427
  10. 2023Geometry-Informed Neural Operator for Large-Scale 3D PDEscited by 303
  11. 2023Neural Operators for Accelerating Scientific Simulations and Designcited by 221
  12. 2019Prediction of Aerodynamic Flow Fields Using Convolutional Neural Networkscited by 145
7 more
  1. 2020Combining Differentiable PDE Solvers and Graph Neural Networks for Fluid Flow Predictioncited by 138
  2. 2021Learnable Fourier Features for Multi-Dimensional Spatial Positional Encodingcited by 93
  3. 2023Operator Learning with Neural Fields: Tackling PDEs on General Geometriescited by 84
  4. 2024Where Do We Stand with Implicit Neural Representations? A Technical and Performance Surveycited by 42
  5. 2024Aero-Nef: Neural Fields for Rapid Aircraft Aerodynamics Simulationscited by 24
  6. 2025Towards scalable surrogate models based on Neural Fields for large scale aerodynamic simulationscited by 10
  7. 2025ONERA's CRM WBPN database for machine learning activities, related regression challenge and first resultscited by 4

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