Fast Prediction of Flow Field around Airfoils Based on Deep Convolutional Neural Network
Source abstract
Abstract
We propose a steady-state aerodynamic data-driven method to predict the incompressible flow around airfoils of NACA (National Advisory Committee for Aeronautics) 0012-series. Using the Signed Distance Function (SDF) to parameterize the geometric and flow condition setups, the prediction core of the method is constructed essentially by a consecutive framework of a convolutional neural network (CNN) and a deconvolutional neural network (DCNN). Impact of training parameters on the behavior of the proposed CNN-DCNN model is studied, so that appropriate learning rate, mini-batch size, and random deactivation rate are specified. Tested by “unseen” airfoil geometries and far-field velocities, it is found that the prediction process is three orders of magnitudes faster than a corresponding Computational Fluid Dynamics (CFD) simulation, while relative errors are maintained lower than 1% on most of the sample points. The proposed model manages to capture the essential dynamics of the flow field, as its predictions correspond reasonably with the reconstructed field by proper orthogonal decomposition (POD). The performance and accuracy of the proposed model indicate that the deep learning-based approach has great potential as a robust predictive tool for aerodynamic design and optimization.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Model Reduction and Neural Networks · Fluid Dynamics and Turbulent Flows · Aerodynamics and Acoustics in Jet Flows
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, China
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
Department of Mechanical Engineering, Tufts University, Medford, MA 02155, USA
Funding
Natural Science Foundation of Jiangsu Province · Fundamental Research Funds for the Central Universities
References (53)
Show source-provided references
1. A review of parametric approaches specific to aerodynamic design process10.1016/j.actaastro.2018.02.011 ↗
2. Arunvinthan, S., Raatan, V.S., Pillai, S.N., Pasha, A.A., Rahman, M.M., and Juhany, K.A. (2021). Aerodynamic characteristics of shark scale-based vortex generators upon symmetrical airfoil. Energies, 14.10.3390/en14071808 ↗
3. Raheem, M.A., Edi, P., Pasha, A.A., Rahman, M.M., and Juhany, K.A. (2019). Numerical study of variable camber continuous trailing edge flap at off-design conditions. Energies, 12.10.3390/en12163185 ↗
4. Eldred, M., and Dunlavy, D. (2006, January 6–8). Formulations for surrogate-based optimization with data fit, multifidelity, and reduced-order models. Proceedings of the 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth, VA, USA.10.2514/6.2006-7117 ↗
5. A review of response surface methodology: A literature survey10.2307/1266632 ↗
6. Fast evolutionary algorithm for airfoil design via neural network10.2514/1.24484 ↗
7. Aerodynamic design using neural networks10.2514/2.938 ↗
8. Extended radial basis functions: More flexible and effective metamodeling10.2514/1.11292 ↗
9. Analysis of support vector regression for approximation of complex engineering analyses10.1115/1.1897403 ↗
10. Hierarchical kriging model for variable-fidelity surrogate modeling10.2514/1.J051354 ↗
11. Building efficient response surfaces of aerodynamic functions with kriging and cokriging10.2514/1.32308 ↗
12. Stationary flow fields prediction of variable physical domain based on proper orthogonal decomposition and kriging surrogate model10.1016/j.cja.2014.12.017 ↗
13. Modeling multiresponse surfaces for airfoil design with multiple-output-Gaussian-process regression10.2514/1.C032465 ↗
14. Chiplunkar, A., Bosco, E., and Morlier, J. (2017). Gaussian process for aerodynamic pressures prediction in fast fluid structure interaction simulations. World Congress of Structural and Multidisciplinary Optimisation, Springer.10.1007/978-3-319-67988-4_15 ↗
15. Santos, M., Mattos, B., and Girardi, R. (2008, January 7–10). Aerodynamic coefficient prediction of airfoils using neural networks. Proceedings of the 46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, USA.10.2514/6.2008-887 ↗
16. Wallach, R., Mattos, B., Girardi, R., and Curvo, M. (2006, January 9–12). Aerodynamic coefficient prediction of transport aircraft using neural network. Proceedings of the 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, USA.10.2514/6.2006-658 ↗
17. Benchmark aerodynamic shape optimization with the POD-based CST airfoil parametric method10.1016/j.ast.2018.08.005 ↗
18. Raul, V., and Leifsson, L. (2021). Surrogate-based aerodynamic shape optimization for delaying airfoil dynamic stall using Kriging regression and infill criteria. Aerosp. Sci. Technol., 111.10.1016/j.ast.2021.106555 ↗
19. Zhu, L., Zhang, W., Kou, J., and Liu, Y. (2019). Machine learning methods for turbulence modeling in subsonic flows around airfoils. Phys. Fluids, 31.10.1063/1.5061693 ↗
20. Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions10.1007/s00158-009-0420-2 ↗
21. A hybrid reduced-order framework for complex aeroelastic simulations10.1016/j.ast.2018.11.014 ↗
22. Background information of deep learning for structural engineering10.1007/s11831-017-9237-0 ↗
23. Deep learning in fluid dynamics10.1017/jfm.2016.803 ↗
24. Hasegawa, K., Fukami, K., Murata, T., and Fukagata, K. (2020). CNN-LSTM based reduced order modeling of two-dimensional unsteady flows around a circular cylinder at different Reynolds numbers. Fluid Dyn. Res., 52.10.1088/1873-7005/abb91d ↗
25. Data-driven prediction of unsteady flow over a circular cylinder using deep learning10.1017/jfm.2019.700 ↗
26. Han, R., Wang, Y., Zhang, Y., and Chen, G. (2019). A novel spatial-temporal prediction method for unsteady wake flows based on hybrid deep neural network. Phys. Fluids, 31.10.1063/1.5127247 ↗
27. Wang, J., He, C., Li, R., Chen, H., Zhai, C., and Zhang, M. (2021). Flow field prediction of supercritical airfoils via variational autoencoder based deep learning framework. Phys. Fluids, 33.10.1063/5.0053979 ↗
28. Renganathan, S.A., Maulik, R., and Rao, V. (2020). Machine learning for nonintrusive model order reduction of the parametric inviscid transonic flow past an airfoil. Phys. Fluids, 32.10.1063/1.5144661 ↗
29. Yan, Z., Yang, H., Li, F., and Lin, Y. (2021). A Deep Learning Approach for Short-Term Airport Traffic Flow Prediction. Aerospace, 9.10.3390/aerospace9010011 ↗
30. Flowfield reconstruction method using artificial neural network10.2514/1.J057108 ↗
31. Non-intrusive reduced order modeling for flowfield reconstruction based on residual neural network10.1016/j.actaastro.2020.11.050 ↗
32. Convolutional neural network based combustion mode classification for condition monitoring in the supersonic combustor10.1016/j.actaastro.2019.03.072 ↗
33. Deep neural network approach for fault detection and diagnosis during startup transient of liquid-propellant rocket engine10.1016/j.actaastro.2020.08.019 ↗
34. Framework for design optimization using deep reinforcement learning10.1007/s00158-019-02276-w ↗
35. Evaluation of machine learning algorithms for prediction of regions of high Reynolds averaged Navier Stokes uncertainty10.1063/1.4927765 ↗
36. Zhang, Y., Sung, W.J., and Mavris, D.N. (2018, January 8–12). Application of convolutional neural network to predict airfoil lift coefficient. Proceedings of the 2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Kissimmee, FL, USA.10.2514/6.2018-1903 ↗
37. Yu, B., Xie, L., and Wang, F. (2019). An improved deep convolutional neural network to predict airfoil lift coefficient. International Conference on Aerospace System Science and Engineering, Springer.10.1007/978-981-15-1773-0_21 ↗
38. Hui, X., Bai, J., Wang, H., and Zhang, Y. (2020). Fast pressure distribution prediction of airfoils using deep learning. Aerosp. Sci. Technol., 105.10.1016/j.ast.2020.105949 ↗
39. Peng, J.-Z., Chen, S., Aubry, N., Chen, Z.-H., and Wu, W.-T. (2020). Time-variant prediction of flow over an airfoil using deep neural network. Phys. Fluids, 32.10.1063/5.0022222 ↗
40. Deep neural network for unsteady aerodynamic and aeroelastic modeling across multiple Mach numbers10.1007/s11071-019-04915-9 ↗
41. Wu, H., Liu, X., An, W., Chen, S., and Lyu, H. (2020). A deep learning approach for efficiently and accurately evaluating the flow field of supercritical airfoils. Comput. Fluids, 198.10.1016/j.compfluid.2019.104393 ↗
42. Tompson, J., Schlachter, K., Sprechmann, P., and Perlin, K. (2017). Accelerating eulerian fluid simulation with convolutional networks. International Conference on Machine Learning, PMLR.
43. Murata, T., Fukami, K., and Fukagata, K. (2020). Nonlinear mode decomposition with convolutional neural networks for fluid dynamics. J. Fluid Mech., 882.10.1017/jfm.2019.822 ↗
44. An approach to enhance the generalization capability of nonlinear aerodynamic reduced-order models10.1016/j.ast.2015.12.006 ↗
45. Kingma, D.P., and Ba, J. (2014). Adam: A method for stochastic optimization. arXiv.
46. Keskar, N.S., Mudigere, D., Nocedal, J., Smelyanskiy, M., and Tang, P.T.P. (2016). On large-batch training for deep learning: Generalization gap and sharp minima. arXiv.
47. Krist, S.L. (1998). CFL3D User’s Manual, version 5.0.
48. Ladson, C.L. (1988). Effects of Independent Variation of Mach and Reynolds Numbers on the Low-Speed Aerodynamic Characteristics of the NACA 0012 Airfoil Section.
49. Analysis of the high Reynolds number 2D tests on a wind turbine airfoil performed at two different wind tunnels10.1088/1742-6596/749/1/012014 ↗
50. Yilmaz, E., and German, B. (2017, January 5–9). A convolutional neural network approach to training predictors for airfoil performance. Proceedings of the 18th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Denver, CO, USA.10.2514/6.2017-3660 ↗
51. A fast marching level set method for monotonically advancing fronts10.1073/pnas.93.4.1591 ↗
52. Numerical investigation on flow field characteristics of dual synthetic cold/hot jets using POD and DMD methods10.1016/j.cja.2019.07.004 ↗
53. Identification of structures and mechanisms in a flow field by POD analysis for input data obtained from visualization and PIV10.1007/s00348-020-03005-6 ↗