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February 16, 2026Physics of Fluids2 citations

Curriculum learning for mesh-based simulations

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PGPaul GarnierVLVincent LannelongueEHElie HACHEM

Key Points

  • This research aims to improve the training efficiency and generalization accuracy of GNNs for mesh-based simulations.
  • Utilized a coarse-to-fine curriculum for training, starting with very coarse meshes.
  • Progressively introduced medium and high-resolution meshes during the training process.
  • Kept the model architecture constant while varying the fidelity of the training data.
  • Achieved up to 50% reduction in total wall-clock time for training.
  • Maintained comparable generalization accuracy across different mesh resolutions.
  • Overcame learning plateaus in datasets with limited model capacity through curriculum learning.

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.

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Cite This Study

Garnier et al. (2026) studied this question.

synapsesocial.com/papers/6992b4779b75e639e9b096abhttps://doi.org/10.1063/5.0316165
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