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Curriculum Learning for Mesh-based simulations

Published: September 16, 2025 | arXiv ID: 2509.13138v1

By: Paul Garnier, Vincent Lannelongue, Elie Hachem

Potential Business Impact:

Teaches computers fluid physics faster with growing detail.

Business Areas:
Simulation Software

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 \(3\times10^5\) 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.

Page Count
7 pages

Category
Computer Science:
Machine Learning (CS)