Drag prediction of rough-wall turbulent flow using data-driven regression

التفاصيل البيبلوغرافية
العنوان: Drag prediction of rough-wall turbulent flow using data-driven regression
المؤلفون: Shi, Zhaoyu, Khorasani, Seyed Morteza Habibi, Shin, Heesoo, Yang, Jiasheng, Lee, Sangseung, Bagheri, Shervin
سنة النشر: 2024
المجموعة: Physics (Other)
مصطلحات موضوعية: Physics - Fluid Dynamics, Physics - Data Analysis, Statistics and Probability
الوصف: Efficient tools for predicting the drag of rough walls in turbulent flows would have a tremendous impact. However, methods for drag prediction rely on experiments or numerical simulations which are costly and time-consuming. Data-driven regression methods have the potential to provide a prediction that is accurate and fast. We assess the performance and limitations of linear regression, kernel methods and neural networks for drag prediction using a database of 1000 homogeneous rough surfaces. Model performance is evaluated using the roughness function obtained at friction-scaled Reynolds number 500. With two trainable parameters, the kernel method can fully account for nonlinear relations between $\Delta U^+$ and surface statistics (roughness height, effective slope, skewness, etc). In contrast, linear regression cannot account for nonlinear correlations and display large errors and high uncertainty. Multilayer perceptron and convolutional neural networks demonstrate performance on par with the kernel method but have orders of magnitude more trainable parameters. For the current database size, the networks' capacity cannot be fully exploited, resulting in reduced generalizability and reliability. Our study provides insight into the appropriateness of different regression models for drag prediction. We also discuss the remaining steps before data-driven methods emerge as useful tools in applications.
Comment: This manuscript consists of 18 pages, where 2 appendices, 11 figures and 3 tables are included. It is currently under review at FLOW journal. Dr. Zhaoyu Shi developed the machine learning models and conducted the data analysis as well as the draft writing. The direct numerical simulations (see Appendix A) were conducted by Dr S.M.H. Khorasani
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.09256
رقم الأكسشن: edsarx.2405.09256
قاعدة البيانات: arXiv