Curriculum learning for mesh-based simulations

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Authors: Paul Garnier, Vincent Lannelongue, Elie HACHEM
Cited by: 3
References: 13

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