论文标题
流体力学中机器学习的挑战和机会
Challenges and Opportunities for Machine Learning in Fluid Mechanics
论文作者
论文摘要
大数据和机器学习正在推动全面的经济和社会转型,并迅速重新塑造工具箱和应用科学家的方法。机器学习工具旨在从几乎不需要先验知识的数据中学习功能。随着实验和数值方法的持续发展提高了我们收集高质量数据的能力,机器学习工具变得越来越可行,并且在植根于物理原理的学科中也变得有希望。这些笔记探讨了如何将机器学习与流体动力学中更多经典方法结合在一起。经过对机器学习景观的简要审查,我们显示了可以作为机器学习问题构成多少流体力学问题,并探索挑战和机遇。我们考虑了几种相关应用:空气噪声预测,湍流建模,减少阶建模和预测,(部分)微分方程的无网状集成,超分辨率和流量控制。尽管此列表绝不详尽,但演示文稿将提供足够的具体示例,以提供有关机器学习如何影响我们研究和从数据学习的方式的观点。
Big data and machine learning are driving comprehensive economic and social transformations and are rapidly re-shaping the toolbox and the methodologies of applied scientists. Machine learning tools are designed to learn functions from data with little to no need of prior knowledge. As continuous developments in experimental and numerical methods improve our ability to collect high-quality data, machine learning tools become increasingly viable and promising also in disciplines rooted in physical principles. These notes explore how machine learning can be integrated and combined with more classic methods in fluid dynamics. After a brief review of the machine learning landscape, we show how many problems in fluid mechanics can be framed as machine learning problems and we explore challenges and opportunities. We consider several relevant applications: aeroacoustic noise prediction, turbulence modelling, reduced-order modelling and forecasting, meshless integration of (partial) differential equations, super-resolution and flow control. While this list is by no means exhaustive, the presentation will provide enough concrete examples to offer perspectives on how machine learning might impact the way we do research and learn from data.