Neural Modular Physics for Elastic Simulation

TL;DR

Neural Modular Physics (NMP) introduces a modular neural approach to elastic simulation, combining neural approximation with physical interpretability, leading to improved generalization, stability, and physical property preservation over traditional monolithic neural models.

Contribution

The paper proposes a novel modular neural framework for elastic simulation that enhances physical consistency and generalization by decomposing dynamics into meaningful neural modules.

Findings

NMP outperforms monolithic neural models in generalization and stability.

NMP better preserves physical properties during simulation.

NMP demonstrates robustness in scenarios with unknown dynamics.

Abstract

Learning-based methods have made significant progress in physics simulation, typically approximating dynamics with a monolithic end-to-end optimized neural network. Although these models offer an effective way to simulation, they may lose essential features compared to traditional numerical simulators, such as physical interpretability and reliability. Drawing inspiration from classical simulators that operate in a modular fashion, this paper presents Neural Modular Physics (NMP) for elastic simulation, which combines the approximation capacity of neural networks with the physical reliability of traditional simulators. Beyond the previous monolithic learning paradigm, NMP enables direct supervision of intermediate quantities and physical constraints by decomposing elastic dynamics into physically meaningful neural modules connected through intermediate physical quantities. With a specialized architecture and training strategy, our method transforms the numerical computation flow into a modular neural simulator, achieving improved physical consistency and generalizability. Experimentally, NMP demonstrates superior generalization to unseen initial conditions and resolutions, stable long-horizon simulation, better preservation of physical properties compared to other neural simulators, and greater feasibility in scenarios with unknown underlying dynamics than traditional simulators.