Neural SPH: Improved Neural Modeling of Lagrangian Fluid Dynamics
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Abstract (arXiv)
Smoothed particle hydrodynamics (SPH) is omnipresent in modern engineering and scientific disciplines. SPH is a class of Lagrangian schemes that discretize fluid dynamics via finite material points that are tracked through the evolving velocity field. Due to the particle-like nature of the simulation, graph neural networks (GNNs) have emerged as appealing and successful surrogates. However, the practical utility of such GNN-based simulators relies on their ability to faithfully model physics, providing accurate and stable predictions over long time horizons - which is a notoriously hard problem. In this work, we identify particle clustering originating from tensile instabilities as one of the primary pitfalls. Based on these insights, we enhance both training and rollout inference of state-of-the-art GNN-based simulators with varying components from standard SPH solvers, including pressure, viscous, and external force components. All Neural SPH-enhanced simulators achieve better performance than the baseline GNNs, often by orders of magnitude in terms of rollout error, allowing for significantly longer rollouts and significantly better physics modeling. Code available at https://github.com/tumaer/neuralsph.
Key facts. Cited by 11 papers in the map (data through 14 Oct 2026). Builds on 38 of its 83 references that are in the map. First posted on arXiv 9 Feb 2024.
Builds on
38 of 83 references.
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Built on by
Citing papers per year: 2024: 3; 2025: 5; 2026: 3.
11 papers.
- 2024Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operatorscited by 27
- 2024NeuralDEM -- Real-time Simulation of Industrial Particulate Flowscited by 10
- 2024JAX-SPH: A Differentiable Smoothed Particle Hydrodynamics Frameworkcited by 4
- 2025Hybrid Neural-MPM for Interactive Fluid Simulations in Real-Timecited by 3
- 2025Bridging Data and Physics: A Graph Neural Network-Based Hybrid Twin Frameworkcited by 2
- 2025Reversible GNS for Dissipative Fluids with Consistent Bidirectional Dynamicscited by 1
- 2025CORGI: GNNs with Convolutional Residual Global Interactions for Lagrangian Simulationcited by 1
- 2025Breaking Scale Anchoring: Frequency Representation Learning for Accurate High-Resolution Inference from Low-Resolution Trainingcited by 1
- 2026A meshfree exterior calculus for generalizable and data-efficient learning of physics from point cloudscited by 1
- 2026Adaptive Interaction Graphs for Particle Simulationcited by 0
- 2026AutoPDEBench: Benchmarking LLM Auto-Research for Neural PDE Solver Designcited by 0
- 2026AutoPDEBench: Benchmarking LLM Auto-Research for Neural PDE Solver Design26 Sep 2026
- 2026Adaptive Interaction Graphs for Particle Simulation25 Sep 2026
- 2026A meshfree exterior calculus for generalizable and data-efficient learning of physics from point clouds8 May 2026
- 2025Bridging Data and Physics: A Graph Neural Network-Based Hybrid Twin Framework12 Dec 2025
- 2025Breaking Scale Anchoring: Frequency Representation Learning for Accurate High-Resolution Inference from Low-Resolution Training28 Nov 2025
- 2025CORGI: GNNs with Convolutional Residual Global Interactions for Lagrangian Simulation28 Nov 2025
- 2025Reversible GNS for Dissipative Fluids with Consistent Bidirectional Dynamics26 Sep 2025
- 2025Hybrid Neural-MPM for Interactive Fluid Simulations in Real-Time25 May 2025
- 2024NeuralDEM -- Real-time Simulation of Industrial Particulate Flows14 Nov 2024
- 2024JAX-SPH: A Differentiable Smoothed Particle Hydrodynamics Framework7 Mar 2024
- 2024Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators19 Feb 2024