Liquid Splash Modeling with Neural Networks
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Abstract (arXiv)
This paper proposes a new data-driven approach to model detailed splashes for liquid simulations with neural networks. Our model learns to generate small-scale splash detail for the fluid-implicit-particle method using training data acquired from physically parametrized, high resolution simulations. We use neural networks to model the regression of splash formation using a classifier together with a velocity modifier. For the velocity modification, we employ a heteroscedastic model. We evaluate our method for different spatial scales, simulation setups, and solvers. Our simulation results demonstrate that our model significantly improves visual fidelity with a large amount of realistic droplet formation and yields splash detail much more efficiently than finer discretizations.
Key facts. Cited by 16 papers in the map (data through 7 Oct 2026). First posted on arXiv 14 Apr 2017.
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Citing papers per year: 2021: 3; 2022: 4; 2023: 3; 2024: 4; 2025: 2.
16 papers.
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- 2021Learned Coarse Models for Efficient Turbulence Simulationcited by 90
- 2022Predicting Physics in Mesh-reduced Space with Temporal Attentioncited by 82
- 2023Swarm Reinforcement Learning For Adaptive Mesh Refinementcited by 16
- 2023Grounding Graph Network Simulators using Physical Sensor Observationscited by 15
- 2023PhysGraph: Physics-Based Integration Using Graph Neural Networkscited by 5
- 2022Leveraging Stochastic Predictions of Bayesian Neural Networks for Fluid Simulationscited by 3
- 2021Neural UpFlow: A Scene Flow Learning Approach to Increase the Apparent Resolution of Particle-Based Liquidscited by 2
- 2024Adaptive Swarm Mesh Refinement using Deep Reinforcement Learning with Local Rewardscited by 2
- 2025M4GN: Mesh-based Multi-segment Hierarchical Graph Network for Dynamic Simulationscited by 2
- 2022Wavelet-based Loss for High-frequency Interface Dynamicscited by 1
- 2022Exploring Physical Latent Spaces for High-Resolution Flow Restorationcited by 1
- 2024End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solvercited by 1
4 more
- 2024Attention-Based Learning for Fluid State Interpolation and Editing in a Time-Continuous Frameworkcited by 1
- 2025Adaptive Graph Rewiring to Mitigate Over-Squashing in Mesh-Based GNNs for Fluid Dynamics Simulationscited by 1
- 2021Subspace Graph Physics: Real-Time Rigid Body-Driven Granular Flow Simulationcited by 0
- 2024SEA: State-Exchange Attention for High-Fidelity Physics Based Transformerscited by 0
- 2025Adaptive Graph Rewiring to Mitigate Over-Squashing in Mesh-Based GNNs for Fluid Dynamics Simulations16 Nov 2025
- 2025M4GN: Mesh-based Multi-segment Hierarchical Graph Network for Dynamic Simulations12 Sep 2025
- 2024SEA: State-Exchange Attention for High-Fidelity Physics Based Transformers20 Oct 2024
- 2024Adaptive Swarm Mesh Refinement using Deep Reinforcement Learning with Local Rewards12 Jun 2024
- 2024Attention-Based Learning for Fluid State Interpolation and Editing in a Time-Continuous Framework12 Jun 2024
- 2024End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver17 Apr 2024
- 2023Swarm Reinforcement Learning For Adaptive Mesh Refinement3 Apr 2023
- 2023Grounding Graph Network Simulators using Physical Sensor Observations23 Feb 2023
- 2023PhysGraph: Physics-Based Integration Using Graph Neural Networks27 Jan 2023
- 2022Exploring Physical Latent Spaces for High-Resolution Flow Restoration21 Nov 2022
- 2022Wavelet-based Loss for High-frequency Interface Dynamics6 Sep 2022
- 2022Leveraging Stochastic Predictions of Bayesian Neural Networks for Fluid Simulations2 May 2022
4 more
- 2022Predicting Physics in Mesh-reduced Space with Temporal Attention22 Jan 2022
- 2021Learned Coarse Models for Efficient Turbulence Simulation31 Dec 2021
- 2021Subspace Graph Physics: Real-Time Rigid Body-Driven Granular Flow Simulation18 Nov 2021
- 2021Neural UpFlow: A Scene Flow Learning Approach to Increase the Apparent Resolution of Particle-Based Liquids9 Jun 2021
- 2021Learned Coarse Models for Efficient Turbulence Simulationcited by 90
- 2022Predicting Physics in Mesh-reduced Space with Temporal Attentioncited by 82
- 2023Swarm Reinforcement Learning For Adaptive Mesh Refinementcited by 16
- 2023Grounding Graph Network Simulators using Physical Sensor Observationscited by 15
- 2023PhysGraph: Physics-Based Integration Using Graph Neural Networkscited by 5
- 2022Leveraging Stochastic Predictions of Bayesian Neural Networks for Fluid Simulationscited by 3
- 2021Neural UpFlow: A Scene Flow Learning Approach to Increase the Apparent Resolution of Particle-Based Liquidscited by 2
- 2024Adaptive Swarm Mesh Refinement using Deep Reinforcement Learning with Local Rewardscited by 2
- 2025M4GN: Mesh-based Multi-segment Hierarchical Graph Network for Dynamic Simulationscited by 2
- 2022Wavelet-based Loss for High-frequency Interface Dynamicscited by 1
- 2022Exploring Physical Latent Spaces for High-Resolution Flow Restorationcited by 1
- 2024End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solvercited by 1
12 most cited of 16 All 16 (JSON)
- 2025Adaptive Graph Rewiring to Mitigate Over-Squashing in Mesh-Based GNNs for Fluid Dynamics Simulations16 Nov 2025
- 2025M4GN: Mesh-based Multi-segment Hierarchical Graph Network for Dynamic Simulations12 Sep 2025
- 2024SEA: State-Exchange Attention for High-Fidelity Physics Based Transformers20 Oct 2024
- 2024Adaptive Swarm Mesh Refinement using Deep Reinforcement Learning with Local Rewards12 Jun 2024
- 2024Attention-Based Learning for Fluid State Interpolation and Editing in a Time-Continuous Framework12 Jun 2024
- 2024End-to-End Mesh Optimization of a Hybrid Deep Learning Black-Box PDE Solver17 Apr 2024
- 2023Swarm Reinforcement Learning For Adaptive Mesh Refinement3 Apr 2023
- 2023Grounding Graph Network Simulators using Physical Sensor Observations23 Feb 2023
- 2023PhysGraph: Physics-Based Integration Using Graph Neural Networks27 Jan 2023
- 2022Exploring Physical Latent Spaces for High-Resolution Flow Restoration21 Nov 2022
- 2022Wavelet-based Loss for High-frequency Interface Dynamics6 Sep 2022
- 2022Leveraging Stochastic Predictions of Bayesian Neural Networks for Fluid Simulations2 May 2022
12 newest of 16 All 16 (JSON)