arXiv:2511.08625physics.flu-dyncs.AI2025-11被引 4

用界面信息提升神经算子对多相流的模拟精度

Cross-Field Interface-Aware Neural Operators for Multiphase Flow Simulation

  • 引入界面数据增强神经算子,捕捉相界动态耦合
  • 在多个案例中相比基线提升近10%精度
  • 适合数据稀缺或含噪场景的高效多相流模拟

多相流模拟在科学与工程中至关重要,但因场间不连续性和高分辨率网格需求导致计算成本高昂。尽管神经算子(NOs)为求解偏微分方程提供了高效替代方案,但在多相系统中仍面临两大挑战:由相界面处空间异质性引发的谱偏差,以及高质量、高分辨率场数据的稀缺性。本文提出界面信息感知神经算子(IANO),通过利用易获取的界面数据(如拓扑和位置)缓解上述问题。界面数据蕴含高频特征,不仅可补足物理场数据,还能缓解谱偏差。IANO采用界面感知函数编码机制捕捉动态耦合,并结合几何感知位置编码提升点级超分辨率的空间保真度。实验结果表明,在多个多相流案例中,IANO相比现有NO基线精度提升约10%。此外,其在低数据和噪声环境下展现出更优泛化能力,验证了其在实际、数据高效多相流模拟中的应用价值。

原文摘要 · Abstract (English)

Multiphase flow simulation is critical in science and engineering but incurs high computational costs due to complex field discontinuities and the need for high-resolution numerical meshes. While Neural Operators (NOs) offer an efficient alternative for solving Partial Differential Equations (PDEs), they struggle with two core challenges unique to multiphase systems: spectral bias caused by spatial heterogeneity at phase interfaces, and the persistent scarcity of expensive, high-resolution field data. This work introduces the Interface Information Aware Neural Operator (IANO), a novel architecture that mitigates these issues by leveraging readily obtainable interface data (e.g., topology and position). Interface data inherently contains the high-frequency features not only necessary to complement the physical field data, but also help with spectral bias. IANO incorporates an interface-aware function encoding mechanism to capture dynamic coupling, and a geometry-aware positional encoding method to enhance spatial fidelity for pointwise super-resolution. Empirical results across multiple multiphase flow cases demonstrate that IANO achieves significant accuracy improvements (up to $\sim$10\%) over existing NO baselines. Furthermore, IANO exhibits superior generalization capabilities in low-data and noisy settings, confirming its utility for practical, data-efficient $\text{AI}$-based multiphase flow simulations.

多相流神经算子界面感知超分辨率

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