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About this paper

Artur P. Toshev, Jonas A. Erbesdobler, Nikolaus A. Adams, Johannes Brandstetter

Neural SPH enhances Graph Neural Network (GNN)-based fluid simulators through the integration of Smoothed Particle Hydrodynamics (SPH)-inspired corrections and a refined treatment of external forces. This approach improves model stability and accuracy, enabling GNNs to perform stable rollouts over significantly longer time horizons compared to baseline models.

Key insights

  • Pathological particle clustering in GNN-based fluid simulators stems from tensile instabilities, similar to those found in classical SPH, making SPH-derived corrections relevant.
  • Disentangling external forces from the GNN's learned target significantly improves long-term physical consistency and prevents non-physical behaviors like "virtual wall" effects.
  • Applying a small number of SPH relaxation steps during inference effectively homogenizes particle distributions and corrects instabilities with marginal computational overhead.

Summary by alphaXiv.

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