English

Curriculum Learning for Mesh-based simulations

Machine Learning 2025-09-17 v1 Computational Physics

Abstract

Graph neural networks (GNNs) have emerged as powerful surrogates for mesh-based computational fluid dynamics (CFD), but training them on high-resolution unstructured meshes with hundreds of thousands of nodes remains prohibitively expensive. We study a \emph{coarse-to-fine curriculum} that accelerates convergence by first training on very coarse meshes and then progressively introducing medium and high resolutions (up to 3×1053\times10^5 nodes). Unlike multiscale GNN architectures, the model itself is unchanged; only the fidelity of the training data varies over time. We achieve comparable generalization accuracy while reducing total wall-clock time by up to 50\%. Furthermore, on datasets where our model lacks the capacity to learn the underlying physics, using curriculum learning enables it to break through plateaus.

Keywords

Cite

@article{arxiv.2509.13138,
  title  = {Curriculum Learning for Mesh-based simulations},
  author = {Paul Garnier and Vincent Lannelongue and Elie Hachem},
  journal= {arXiv preprint arXiv:2509.13138},
  year   = {2025}
}
R2 v1 2026-07-01T05:39:34.685Z