mlsanityData to 7 Oct 2026

Simulating Liquids with Graph Networks

arXiv 2203.07895 ↗First posted 14 Mar 2022cs.LG physics.flu-dyncited by 8

Not on the map. Why?

Abstract (arXiv)

Simulating complex dynamics like fluids with traditional simulators is computationally challenging. Deep learning models have been proposed as an efficient alternative, extending or replacing parts of traditional simulators. We investigate graph neural networks (GNNs) for learning fluid dynamics and find that their generalization capability is more limited than previous works would suggest. We also challenge the current practice of adding random noise to the network inputs in order to improve its generalization capability and simulation stability. We find that inserting the real data distribution, e.g. by unrolling multiple simulation steps, improves accuracy and that hiding all domain-specific features from the learning model improves generalization. Our results indicate that learning models, such as GNNs, fail to learn the exact underlying dynamics unless the training set is devoid of any other problem-specific correlations that could be used as shortcuts.

Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). Builds on 16 of its 24 references that are in the map. First posted on arXiv 14 Mar 2022.

Builds on

16 of 24 references.

References · 16

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2016Layer Normalizationcited by 5,579
  3. 2017Neural Message Passing for Quantum Chemistrycited by 3,460
  4. 2013Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distancescited by 2,277
  5. 2020Learning to Simulate Complex Physics with Graph Networkscited by 867
  6. 2019GNNExplainer: Generating Explanations for Graph Neural Networkscited by 735
  7. 2016Interaction Networks for Learning about Objects, Relations and Physicscited by 503
  8. 2020Discovering Symbolic Models from Deep Learning with Inductive Biasescited by 335
  9. 2018Graph networks as learnable physics engines for inference and controlcited by 242
  10. 2018Learning Particle Dynamics for Manipulating Rigid Bodies, Deformable Objects, and Fluidscited by 219
  11. 2020Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solverscited by 201
  12. 2018Deep learning to represent sub-grid processes in climate modelscited by 156
4 more
  1. 2018Deep Learning Methods for Reynolds-Averaged Navier-Stokes Simulations of Airfoil Flowscited by 147
  2. 2020Learning to Control PDEs with Differentiable Physicscited by 131
  3. 2019Learning Symbolic Physics with Graph Networkscited by 52
  4. 2018Learning to Predict the Cosmological Structure Formationcited by 38

Built on by

Cited by year

Citing papers per year: 2022: 1; 2023: 4; 2024: 2; 2025: 1.

8 papers.