mlsanityData to 14 Oct 2026

Eagle: Large-Scale Learning of Turbulent Fluid Dynamics with Mesh Transformers

arXiv 2302.10803 ↗First posted 16 Feb 2023cs.LG cs.AI physics.flu-dyncited by 57

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Abstract (arXiv)

Estimating fluid dynamics is classically done through the simulation and integration of numerical models solving the Navier-Stokes equations, which is computationally complex and time-consuming even on high-end hardware. This is a notoriously hard problem to solve, which has recently been addressed with machine learning, in particular graph neural networks (GNN) and variants trained and evaluated on datasets of static objects in static scenes with fixed geometry. We attempt to go beyond existing work in complexity and introduce a new model, method and benchmark. We propose EAGLE, a large-scale dataset of 1.1 million 2D meshes resulting from simulations of unsteady fluid dynamics caused by a moving flow source interacting with nonlinear scene structure, comprised of 600 different scenes of three different types. To perform future forecasting of pressure and velocity on the challenging EAGLE dataset, we introduce a new mesh transformer. It leverages node clustering, graph pooling and global attention to learn long-range dependencies between spatially distant data points without needing a large number of iterations, as existing GNN methods do. We show that our transformer outperforms state-of-the-art performance on, both, existing synthetic and real datasets and on EAGLE. Finally, we highlight that our approach learns to attend to airflow, integrating complex information in a single iteration.

Key facts. Cited by 57 papers in the map (data through 14 Oct 2026). Builds on 29 of its 56 references that are in the map. First posted on arXiv 16 Feb 2023.

Builds on

29 of 56 references.

References · 29

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17 more
  1. 2021Skillful Precipitation Nowcasting using Deep Generative Models of Radarcited by 311
  2. 2018Learning Particle Dynamics for Manipulating Rigid Bodies, Deformable Objects, and Fluidscited by 220
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Cited by year (2026 to 14 Oct)

Citing papers per year: 2023: 7; 2024: 12; 2025: 20; 2026: 18.

57 papers.

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  1. 2024The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learningcited by 145
  2. 2023Scalable Transformer for PDE Surrogate Modelingcited by 128
  3. 2023DYffusion: A Dynamics-informed Diffusion Model for Spatiotemporal Forecastingcited by 109
  4. 2023From Zero to Turbulence: Generative Modeling for 3D Flow Simulationcited by 49
  5. 2025Generative Latent Neural PDE Solver using Flow Matchingcited by 28
  6. 2024HAMLET: Graph Transformer Neural Operator for Partial Differential Equationscited by 24
  7. 2024Active Learning for Neural PDE Solverscited by 22
  8. 2025Erwin: A Tree-based Hierarchical Transformer for Large-scale Physical Systemscited by 22
  9. 2023Learning Flexible Body Collision Dynamics with Hierarchical Contact Mesh Transformercited by 18
  10. 2023Multi-scale Time-stepping of Partial Differential Equations with Transformerscited by 14
  11. 2024P2C2Net: PDE-Preserved Coarse Correction Network for efficient prediction of spatiotemporal dynamicscited by 13
  12. 2024LaB-GATr: geometric algebra transformers for large biomedical surface and volume meshescited by 12
38 more
  1. 2025Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanicscited by 10
  2. 2026MeshGraphNet-Transformer: Scalable Mesh-based Learned Simulation for Solid Mechanicscited by 10
  3. 2026Structure-Preserving Learning Improves Geometry Generalization in Neural PDEscited by 8
  4. 2024DynST: Dynamic Sparse Training for Resource-Constrained Spatio-Temporal Forecastingcited by 7
  5. 2024Space and Time Continuous Physics Simulation From Partial Observationscited by 6
  6. 2025PIORF: Physics-Informed Ollivier-Ricci Flow for Long-Range Interactions in Mesh Graph Neural Networkscited by 6
  7. 2025Improving Long-Range Interactions in Graph Neural Simulators via Hamiltonian Dynamicscited by 6
  8. 2024Latent Neural PDE Solver: a reduced-order modelling framework for partial differential equationscited by 5
  9. 2024FLUID-LLM: Learning Computational Fluid Dynamics with Spatiotemporal-aware Large Language Modelscited by 5
  10. 2025PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systemscited by 5
  11. 2025SlotPi: Physics-informed Object-centric Reasoning Modelscited by 5
  12. 2025Overtone: Cyclic Patch Modulation for Clean, Efficient, and Flexible Physics Emulatorscited by 5
  13. 2025Training Transformers for Mesh-Based Simulationscited by 5
  14. 2024Towards Universal Mesh Movement Networkscited by 4
  15. 2024EvoMesh: Adaptive Physical Simulation with Hierarchical Graph Evolutionscited by 4
  16. 2026Emergent Transfer of a Physics Foundation Model from Simulation to Laboratory Turbulencecited by 4
  17. 2025A Two-Phase Deep Learning Framework for Adaptive Time-Stepping in High-Speed Flow Modelingcited by 3
  18. 2025M4GN: Mesh-based Multi-segment Hierarchical Graph Network for Dynamic Simulationscited by 2
  19. 2025Adaptive Mesh-Quantization for Neural PDE Solverscited by 2
  20. 2025Efficient Generative Transformer Operators For Million-Point PDEscited by 2
  21. 2026A Physics-Informed Fourier-Wavelet Transformer for Multiscale Computational Fluid Dynamics Surrogate Modelingcited by 2
  22. 2024Spatiotemporal Graph Learning with Direct Volumetric Information Passing and Feature Enhancementcited by 1
  23. 2025PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Burst-Sampled Spatiotemporal Dynamicscited by 1
  24. 2025Thickness-aware E(3)-Equivariant 3D Mesh Neural Networkscited by 1
  25. 2026LASER: Learning Active Sensing for Continuum Field Reconstructioncited by 1
  26. 2026Compressing History into Memory: Distilling Transformers into Recurrent Transformerscited by 1
  27. 2023Scientific Computing Algorithms to Learn Enhanced Scalable Surrogates for Mesh Physicscited by 0
  28. 2023SURF: A Generalization Benchmark for GNNs Predicting Fluid Dynamicscited by 0
  29. 2025PLAID: A Unified Data Model for Machine Learning on Heterogeneous Physics Simulationscited by 0
  30. 2025Natively Trainable Sparse Attention for Hierarchical Point Cloud Datasetscited by 0
  31. 2025Planning-Query-Guided Model Generation for Model-Based Deformable Object Manipulationcited by 0
  32. 2025Unlocking Out-of-Distribution Generalization in Dynamics through Physics-Guided Augmentationcited by 0
  33. 2025PIBNet: a Physics-Inspired Boundary Network for Multiple Scattering Simulationscited by 0
  34. 2026Multi-fidelity graph-based neural networks architectures to learn Navier-Stokes solutions on non-parametrized 2D domainscited by 0
  35. 2026Smoothness Errors in Dynamics Models and How to Avoid Themcited by 0
  36. 2026Stable Long-Horizon Spatiotemporal Prediction on Meshes Using Latent Multiscale Recurrent Graph Neural Networkscited by 0
  37. 2026Beyond Scanpaths: Graph-Based Gaze Simulation in Dynamic Scenescited by 0
  38. 2026Mesh Based Simulations with Spatial and Temporal awarenesscited by 0

50 most cited of 57 All 57 (JSON)