Artificial neural network approach for turbulence models: A local framework

Chenyue Xie, Xiangming Xiong, and Jianchun Wang
Phys. Rev. Fluids 6, 084612 – Published 31 August 2021

Abstract

A local artificial neural network (LANN) framework is developed for turbulence modeling. The Reynolds-averaged Navier-Stokes (RANS) unclosed terms are reconstructed by the artificial neural network based on the local coordinate system which is orthogonal to the curved walls. We verify the proposed model in the flows over periodic hills. The correlation coefficients of the RANS unclosed terms predicted by the LANN model can be made larger than 0.96 in an a priori analysis, and the relative error of the unclosed terms can be made smaller than 18%. In an a posteriori analysis, detailed comparisons are made on the results of RANS simulations using the LANN, global artificial neural network (GANN), Spalart-Allmaras (SA), and shear stress transport (SST) kω models. It is shown that the LANN model performs better than the GANN, SA, and SST kω models in the prediction of the average velocity, wall-shear stress, and average pressure, which gives the results that are essentially indistinguishable from the direct numerical simulation data. The LANN model trained at low Reynolds number, Re=2800, can be directly applied to the cases of high Reynolds numbers, Re=5600, 10 595, 19 000, and 37 000, with accurate predictions. Furthermore, the LANN model is verified for flows over periodic hills with varying slopes. These results suggest that the LANN framework has a great potential to be applied to complex turbulent flows with curved walls.

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  • Received 25 January 2021
  • Accepted 17 August 2021

DOI:https://doi.org/10.1103/PhysRevFluids.6.084612

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsNetworks

Authors & Affiliations

Chenyue Xie1,*, Xiangming Xiong1, and Jianchun Wang2,†

  • 1Program in Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA
  • 2Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, People's Republic of China

  • *Corresponding author: chenyuex@princeton.edu
  • wangjc@sustech.edu.cn

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Vol. 6, Iss. 8 — August 2021

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