用全GPU流程训练高超音速流物理模拟器,提升精度与泛化能力。
A fully GPU-based workflow for building physics emulators of hypersonic flows

- 基于可微分高保真求解器生成数据并优化神经模型
- 残差修正使模型在无完整数据时仍能降低误差并保持物理一致性
- 适合需要高精度、快速迭代的工程设计场景
高保真且低计算成本地解析复杂物理现象是现代工程的关键挑战。以高超音速流为例,精确预测全场拓扑(尤其是激波位置与强度)至关重要。然而传统降阶模型和神经模拟器难以在工业应用中保持对流动状态陡变梯度的物理一致性。为此,本文提出一种全GPU工作流,结合加速数据生成与带不确定性量化及物理感知精炼的神经模拟器训练。该工作流依赖可微分高保真求解器JAX-Fluids,用于快速构建数据集并基于残差改进神经模型,增强物理一致性。我们首先分析多种模型架构的缩放特性,揭示其优劣;随后证明残差修正可在仅知网格和输入参数条件下实现有效训练,显著降低残差并提升物理一致性。不同微分仿真与残差修正相结合,使物理模拟器在训练分布之外仍保持可靠性,满足真实工程设计闭环部署需求。
原文摘要 · Abstract (English)
The ability to resolve complex physical phenomena with high fidelity and at low computational cost is central to addressing key challenges in modern engineering. A prime example lies in hypersonic flows, where the precise prediction of the full flowfield topology, in particular with respect to shock wave location and intensity, is critical. Yet supersonic and hypersonic flows continue to be a stumbling block for traditional reduced-order models and neural emulators that struggle to capture steep gradients in flow states with physical consistency in applications of industrial relevance. To that end, we introduce a fully GPU based workflow that integrates accelerated data generation with the training of neural emulators augmented by uncertainty quantification and physics-aware refinement. Our workflow is enabled by a differentiable high-fidelity solver (JAX-Fluids) which we employ for rapid dataset creation and residual-based improvement of the neural emulator to enhance physical consistency. Building on this framework, we first present a suite of model architectures and analyze their scaling behavior to expose their strengths and shortcomings. We then show that residual-based refinement enables training on cases where only mesh and input parameters are available, substantially reducing residuals and improving physical consistency. Together, differentiable simulation and residual-based refinement yield physics emulators that remain reliable beyond their training distribution, a key requirement for deploying surrogates in real-world engineering design loops.
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