arXiv:2606.09963physics.flu-dyncs.AI2026-06

用几何信息提升气动仿真边界精度,显著改善神经算子的近壁预测误差。

Geometry-Aware Anisotropic Boundary Correction for Aerodynamic Simulation

论文配图:Geometry-Aware Anisotropic Boundary Correction for Aerodynamic Simulation
图 1 · 摘自论文原文
  • 基于边界几何设计方向感知的校正框架,显式建模流体沿壁面与法向的异质行为。
  • 在2D机翼和3D汽车任务上,近壁相对L2误差平均降低约38%。
  • 适用于多种神经算子模型,适合追求高保真气动仿真的工程设计场景。

气动仿真是工程外形设计的关键环节,表面压力系数等核心量依赖于固体边界附近的流动行为。神经算子为昂贵的计算流体动力学(CFD)求解器提供了高效替代方案。然而,传统方法对边界区域采用各向同性处理,未能体现边界方向上的物理差异。实际上,气动过程具有各向异性:沿切向,流动沿壁面传播;沿法向,物理量受壁面约束。为此,我们提出GeoABC——一种基于几何条件的各向异性边界校正框架。该方法利用边界几何信息,在神经算子的中间表示中引入方向感知的边界校正,将边界几何从静态输入特征转化为调节物理预测的结构先验。在2D机翼和3D汽车任务上,GeoABC可适配多种神经算子主干网络,平均降低近边界相对L2误差约38%,缩小主流神经算子共有的近壁结构差距,推动神经算子向高保真气动仿真迈进。

原文摘要 · Abstract (English)

Aerodynamic simulation is a key component of engineering shape design, where core quantities such as the surface pressure coefficient strongly depend on flow dynamics near solid boundaries. Neural operators provide an efficient alternative to expensive Computational Fluid Dynamics (CFD) solvers. However, conventional methods treat the boundary region isotropically, failing to account for the distinct physical behaviors along the boundaries. In reality, the aerodynamic process exhibits anisotropy: along the tangential direction, flow propagates along the wall; along the normal direction, physical quantities are constrained by the wall. To explicitly model the distinct physical behaviors, we propose GeoABC, a geometry-conditioned anisotropic boundary correction framework. GeoABC leverages the boundary geometries to introduce direction-aware boundary correction into the intermediate representations of neural operators, transforming boundary geometry from static input features into a structural prior that modulates physical prediction. On 2D airfoil and 3D car tasks, GeoABC consistently adapts to multiple neural operator backbones, reducing near-boundary relative $L_2$ error by $\sim$38\% on average, narrowing the structural near-wall gap shared by mainstream neural operators, and advancing neural operators toward high-fidelity aerodynamic simulation.

气动仿真神经算子边界校正几何先验

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