用深度学习从速度场直接推算壁面剪切应力,实验数据零样本适用。
A deep learning approach to wall-shear stress quantification: From numerical training to zero-shot experimental application
- 输入对数层速度场,输出同分辨率壁面剪切应力图。
- 在雷诺数2000内,实验数据预测结果与传感器测量吻合度高。
- 无需重新训练,即可用于真实实验数据,适合流体力学研究者。
准确量化壁面剪切应力动态对基础与应用研究至关重要,涵盖人体健康到飞机设计优化等领域。尽管实验测量技术和后处理算法已取得进展,但具备足够时空分辨率且覆盖合理空间范围的时序壁面剪切应力仍难以实现。为此,我们提出一种深度学习架构,接收湍流壁面流动对数层的壁面平行速度场,输出对应二维壁面剪切应力场,空间分辨率和域大小保持一致。该框架从物理上作为代理模型,捕捉外层高能流动结构对壁面剪切应力动态的影响机制。网络在统一数据集上监督训练,包含摩擦雷诺数390至1,500的统计一维湍流通道流与空间发展湍流边界层直接数值模拟。我们验证了其对粒子图像测速(PIV)实验速度场的零样本适用性,并通过微柱剪切应力传感器同步测量,在雷诺数达2,000时证实预测结果的物理准确性。该框架为从易获取的速度测量中提取原本不可测的壁面剪切应力信息奠定了基础,推动多种实验应用的发展。
原文摘要 · Abstract (English)
The accurate quantification of wall-shear stress dynamics is of substantial importance for various applications in fundamental and applied research, spanning areas from human health to aircraft design and optimization. Despite significant progress in experimental measurement techniques and post-processing algorithms, temporally resolved wall-shear stress dynamics with adequate spatial resolution and within a suitable spatial domain remain an elusive goal. To address this gap, we introduce a deep learning architecture that ingests wall-parallel velocity fields from the logarithmic layer of turbulent wall-bounded flows and outputs the corresponding 2D wall-shear stress fields with identical spatial resolution and domain size. From a physical perspective, our framework acts as a surrogate model encapsulating the various mechanisms through which highly energetic outer-layer flow structures influence the governing wall-shear stress dynamics. The network is trained in a supervised fashion on a unified dataset comprising direct numerical simulations of statistically 1D turbulent channel and spatially developing turbulent boundary layer flows at friction Reynolds numbers ranging from 390 to 1,500. We demonstrate a zero-shot applicability to experimental velocity fields obtained from Particle-Image Velocimetry measurements and verify the physical accuracy of the wall-shear stress estimates with synchronized wall-shear stress measurements using the Micro-Pillar Shear-Stress Sensor for Reynolds numbers up to 2,000. In summary, the presented framework lays the groundwork for extracting inaccessible experimental wall-shear stress information from readily available velocity measurements and thus, facilitates advancements in a variety of experimental applications.
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