Timezone: »
Surrogate models are necessary to optimize meaningful quantities in physical dynamics as their recursive numerical resolutions are often prohibitively expensive. It is mainly the case for fluid dynamics and the resolution of Navier–Stokes equations. However, despite the fast-growing field of data-driven models for physical systems, reference datasets representing real-world phenomena are lacking. In this work, we develop \textsc{AirfRANS}, a dataset for studying the two-dimensional incompressible steady-state Reynolds-Averaged Navier–Stokes equations over airfoils at a subsonic regime and for different angles of attacks. We also introduce metrics on the stress forces at the surface of geometries and visualization of boundary layers to assess the capabilities of models to accurately predict the meaningful information of the problem. Finally, we propose deep learning baselines on four machine learning tasks to study \textsc{AirfRANS} under different constraints for generalization considerations: big and scarce data regime, Reynolds number, and angle of attack extrapolation.
Author Information
Florent Bonnet (Extrality - Sorbonne Université)
Jocelyn Mazari (Extrality)
Paola Cinnella (Sorbonne University)
Paola Cinnella is a professor in Computational Fluid Dynamics at Sorbonne University. She graduated summa cum laude in Mechanical Engineering at the Politecnico di Bari in Italy. She got a PhD degree in Fluid Mechanics (summa cum laude) from Ecole Nationale Supérieure d’Arts et Métiers-ENSAM (currently, Arts et Métiers ParisTech) in Paris. Her research interest are numerical methods for fluid flow simulations, including coupling with machine learning algorithms, data-driven models, analysis of turbulent flows, optimization and uncertainty quantification.
Patrick Gallinari (Sorbonne Universite, Criteo AI Lab)
More from the Same Authors
-
2022 : Continuous PDE Dynamics Forecasting with Implicit Neural Representations »
Yuan Yin · Matthieu Kirchmeyer · Jean-Yves Franceschi · Alain Rakotomamonjy · Patrick Gallinari -
2022 : Deep Learning for Model Correction in Cardiac Electrophysiological Imaging »
Victoriya Kashtanova · Patrick Gallinari · Maxime Sermesant -
2023 Poster: Module-wise Training of Neural Networks via the Minimizing Movement Scheme »
Skander Karkar · Ibrahim Ayed · Emmanuel de Bézenac · Patrick Gallinari -
2023 Poster: Operator Learning with Neural Fields: Tackling PDEs on General Geometries »
Louis Serrano · Lise Le Boudec · Armand Kassaï Koupaï · Yuan Yin · Thomas X Wang · Jean-Noël Vittaut · Patrick Gallinari -
2022 Poster: Diverse Weight Averaging for Out-of-Distribution Generalization »
Alexandre Rame · Matthieu Kirchmeyer · Thibaud Rahier · Alain Rakotomamonjy · Patrick Gallinari · Matthieu Cord -
2021 Poster: LEADS: Learning Dynamical Systems that Generalize Across Environments »
Yuan Yin · Ibrahim Ayed · Emmanuel de Bézenac · Nicolas Baskiotis · Patrick Gallinari -
2020 Poster: Normalizing Kalman Filters for Multivariate Time Series Analysis »
Emmanuel de Bézenac · Syama Sundar Rangapuram · Konstantinos Benidis · Michael Bohlke-Schneider · Richard Kurle · Lorenzo Stella · Hilaf Hasson · Patrick Gallinari · Tim Januschowski -
2013 Poster: Robust Bloom Filters for Large MultiLabel Classification Tasks »
Moustapha M Cisse · Nicolas Usunier · Thierry Artières · Patrick Gallinari -
2012 Poster: On the (Non-)existence of Convex, Calibrated Surrogate Losses for Ranking »
Clément Calauzènes · Nicolas Usunier · Patrick Gallinari -
2012 Oral: On the (Non-)existence of Convex, Calibrated Surrogate Losses for Ranking »
Clément Calauzènes · Nicolas Usunier · Patrick Gallinari