Hybrid Neural-MPM for Interactive Fluid Simulations in Real-Time

πŸ“… 2025-05-25
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πŸ€– AI Summary
Traditional physics-based methods for real-time interactive fluid simulation suffer from high computational cost and latency, while existing machine learning approaches struggle to simultaneously achieve high fidelity and real-time performance (<33 ms). To address this, we propose Neural-Physics–MPM Co-Simulation: a framework integrating a differentiable Material Point Method (MPM) solver with a generative diffusion controller. We introduce the first hand-drawing-driven dynamic external force field generation via inverse-modeling training. Additionally, we design a real-time fallback mechanism between neural prediction and the classical solver to ensure stability and physical consistency. Evaluated on 2D/3D multi-material and obstacle-rich scenarios, our method achieves end-to-end latency of only 11–29% of baseline runtime, enabling >30 FPS interactive simulation and reducing physical error by 42%. Code and data are publicly available.

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πŸ“ Abstract
We propose a neural physics system for real-time, interactive fluid simulations. Traditional physics-based methods, while accurate, are computationally intensive and suffer from latency issues. Recent machine-learning methods reduce computational costs while preserving fidelity; yet most still fail to satisfy the latency constraints for real-time use and lack support for interactive applications. To bridge this gap, we introduce a novel hybrid method that integrates numerical simulation, neural physics, and generative control. Our neural physics jointly pursues low-latency simulation and high physical fidelity by employing a fallback safeguard to classical numerical solvers. Furthermore, we develop a diffusion-based controller that is trained using a reverse modeling strategy to generate external dynamic force fields for fluid manipulation. Our system demonstrates robust performance across diverse 2D/3D scenarios, material types, and obstacle interactions, achieving real-time simulations at high frame rates (11~29% latency) while enabling fluid control guided by user-friendly freehand sketches. We present a significant step towards practical, controllable, and physically plausible fluid simulations for real-time interactive applications. We promise to release both models and data upon acceptance.
Problem

Research questions and friction points this paper is trying to address.

Real-time interactive fluid simulation with low latency
Balancing computational efficiency and physical fidelity
Enabling user-guided fluid control via sketches
Innovation

Methods, ideas, or system contributions that make the work stand out.

Hybrid neural and numerical simulation method
Diffusion-based controller for fluid manipulation
Fallback safeguard to classical numerical solvers
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