无需数据即可高保真快速模拟多物理场系统。
High-fidelity Multiphysics Modelling for Rapid Predictions Using Physics-informed Parallel Neural Operator
- 基于物理定律的无监督学习框架,不依赖训练数据。
- 并行核集成设计提升计算效率与兼容性。
- 适用于岩土、电磁、流体等多领域复杂系统建模。
由非线性强耦合偏微分方程(PDE)支配的复杂多物理场系统建模是计算科学与工程的核心挑战。传统数值求解器因计算成本过高,在大规模应用中难以实用。神经算子依赖数据驱动训练,但在现实场景中数据常稀缺或昂贵。本文提出一种新范式——物理信息并行神经算子(PIPNO),一个可扩展的无监督学习框架,仅利用物理规律实现无数据的PDE建模。并行核集成设计结合集成学习,显著提升兼容性与计算效率,支持非线性强耦合PDE的可扩展算子学习。PIPNO能高效捕捉地质工程、材料科学、电磁学、量子力学及流体动力学等多种物理场中的非线性算子映射。该方法在建模非线性强耦合多物理场系统时,实现高保真且快速预测,优于现有算子学习方法。因此,PIPNO为传统求解器提供了强大替代方案,拓展了神经算子在多物理场建模中的适用性,同时确保高效、鲁棒与可扩展。
原文摘要 · Abstract (English)
Modelling complex multiphysics systems governed by nonlinear and strongly coupled partial differential equations (PDEs) is a cornerstone in computational science and engineering. However, it remains a formidable challenge for traditional numerical solvers due to high computational cost, making them impractical for large-scale applications. Neural operators' reliance on data-driven training limits their applicability in real-world scenarios, as data is often scarce or expensive to obtain. Here, we propose a novel paradigm, physics-informed parallel neural operator (PIPNO), a scalable and unsupervised learning framework that enables data-free PDE modelling by leveraging only governing physical laws. The parallel kernel integration design, incorporating ensemble learning, significantly enhances both compatibility and computational efficiency, enabling scalable operator learning for nonlinear and strongly coupled PDEs. PIPNO efficiently captures nonlinear operator mappings across diverse physics, including geotechnical engineering, material science, electromagnetism, quantum mechanics, and fluid dynamics. The proposed method achieves high-fidelity and rapid predictions, outperforming existing operator learning approaches in modelling nonlinear and strongly coupled multiphysics systems. Therefore, PIPNO offers a powerful alternative to conventional solvers, broadening the applicability of neural operators for multiphysics modelling while ensuring efficiency, robustness, and scalability.
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