Curriculum learning for mesh-based simulations
Abstract
Graph neural networks (GNNs) have emerged as powerful surrogates for mesh-based computational fluid dynamics, but training them on high-resolution unstructured meshes with hundreds of thousands of nodes remains prohibitively expensive. We study a coarse-to-fine curriculum that accelerates convergence by first training on very coarse meshes and then progressively introducing medium and high resolutions (up to 3×105 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.
Fields of Study & Subjects
Model Reduction and Neural Networks
Advanced Graph Neural Networks
Lattice Boltzmann Simulation Studies
Publication details
- Journal / source
- Physics of Fluids
- Publisher
- AIP Publishing
- Volume
- 38
- Issue
- 2
- Publication date
- 1 February 2026
- Language
- EN