arXiv:2507.02106physics.flu-dyncs.AI2025-07被引 4

用混合模型模拟高雷诺数磁流体湍流,精准捕捉复杂动力学特征。

Resolving Turbulent Magnetohydrodynamics: A Hybrid Operator-Diffusion Framework

  • 结合物理约束神经算子与生成扩散模型,分层处理低频主态与高频残差。
  • 在Re=10000时首次实现磁场上高波数演化的准确重建,保留大尺度结构。
  • 适合研究极端湍流下的等离子体、天体物理中的非高斯动力学现象。

我们提出一种混合机器学习框架,结合物理信息神经算子(PINOs)与基于得分的生成扩散模型,模拟二维不可压缩电阻磁流体(MHD)湍流在广泛雷诺数(Re)范围内的全时空演化。该框架利用PINOs的方程约束泛化能力预测相干的低频动态,同时由条件扩散模型随机修正高频残差,实现对完全发展湍流的精确建模。模型在包含Re∈{100, 250, 500, 750, 1000, 3000, 10000}的高保真仿真数据集上训练,显著优于以往确定性代理模型。在Re=1000和3000时,模型能忠实重构速度场与磁场的完整谱能分布,捕捉非高斯统计特性、间歇性结构及跨场相关性。在极端湍流水平(Re=10000)下,它是首个可恢复磁场高波数演化的代理模型,保持大尺度形态并实现统计上有意义的预测。

原文摘要 · Abstract (English)

We present a hybrid machine learning framework that combines Physics-Informed Neural Operators (PINOs) with score-based generative diffusion models to simulate the full spatio-temporal evolution of two-dimensional, incompressible, resistive magnetohydrodynamic (MHD) turbulence across a broad range of Reynolds numbers ($\mathrm{Re}$). The framework leverages the equation-constrained generalization capabilities of PINOs to predict coherent, low-frequency dynamics, while a conditional diffusion model stochastically corrects high-frequency residuals, enabling accurate modeling of fully developed turbulence. Trained on a comprehensive ensemble of high-fidelity simulations with $\mathrm{Re} \in \{100, 250, 500, 750, 1000, 3000, 10000\}$, the approach achieves state-of-the-art accuracy in regimes previously inaccessible to deterministic surrogates. At $\mathrm{Re}=1000$ and $3000$, the model faithfully reconstructs the full spectral energy distributions of both velocity and magnetic fields late into the simulation, capturing non-Gaussian statistics, intermittent structures, and cross-field correlations with high fidelity. At extreme turbulence levels ($\mathrm{Re}=10000$), it remains the first surrogate capable of recovering the high-wavenumber evolution of the magnetic field, preserving large-scale morphology and enabling statistically meaningful predictions.

磁流体湍流模拟生成模型神经算子

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。