对比多种AI模型在复杂形状流场预测中的表现,发现新模型更高效且几何表示影响关键结果。
Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries
- 采用SDF和二值掩码表示几何,测试不同AI模型的预测能力。
- 新基础模型在数据少时表现远超传统神经算子,数据充足时SDF效果更优。
- 适用于航空航天与生物流体等复杂场景的快速仿真研究者。
在航空动力学和生物流体等工程与科学应用中,快速准确地模拟复杂几何体周围的流体动力学至关重要。尽管科学机器学习(SciML)展现出巨大潜力,但现有研究多局限于简单几何,真实复杂场景仍被忽视。本文通过基准测试多种SciML模型(包括神经算子和基于视觉变换器的基础模型),评估其在复杂几何上的流场预测性能。利用高保真稳态流数据集,分析了符号距离场(SDF)与二值掩码两种几何表示对模型精度、可扩展性和泛化能力的影响。提出一种统一评分框架,整合全局精度、边界层保真度和物理一致性三项指标,实现模型性能的稳健比较。结果表明,新基础模型在数据有限时显著优于神经算子,而使用充分训练数据时SDF表示表现更佳。然而所有模型在分布外泛化上仍表现不佳,揭示未来挑战。本工作推动了评估方法与建模能力的发展,为复杂几何下的流体动力学提供可靠可扩展的AI解决方案。
原文摘要 · Abstract (English)
Rapid and accurate simulations of fluid dynamics around complicated geometric bodies are critical in a variety of engineering and scientific applications, including aerodynamics and biomedical flows. However, while scientific machine learning (SciML) has shown considerable promise, most studies in this field are limited to simple geometries, and complex, real-world scenarios are underexplored. This paper addresses this gap by benchmarking diverse SciML models, including neural operators and vision transformer-based foundation models, for fluid flow prediction over intricate geometries. Using a high-fidelity dataset of steady-state flows across various geometries, we evaluate the impact of geometric representations -- Signed Distance Fields (SDF) and binary masks -- on model accuracy, scalability, and generalization. Central to this effort is the introduction of a novel, unified scoring framework that integrates metrics for global accuracy, boundary layer fidelity, and physical consistency to enable a robust, comparative evaluation of model performance. Our findings demonstrate that newer foundation models significantly outperform neural operators, particularly in data-limited scenarios, and that SDF representations yield superior results with sufficient training data. Despite these promises, all models struggle with out-of-distribution generalization, highlighting a critical challenge for future SciML applications. By advancing both evaluation models and modeling capabilities, our work paves the way for robust and scalable ML solutions for fluid dynamics across complex geometries.
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