Searching for turbulence models by artificial neural network

Masataka Gamahara and Yuji Hattori
Phys. Rev. Fluids 2, 054604 – Published 4 May 2017

Abstract

An artificial neural network (ANN) is tested as a tool for finding a new subgrid model of the subgrid-scale (SGS) stress in large-eddy simulation. An ANN is used to establish a functional relation between the grid-scale flow field and the SGS stress without any assumption of the form of function. Data required for training and test of the ANN are provided by direct numerical simulation of a turbulent channel flow. It is shown that an ANN can establish a model similar to the gradient model. The correlation coefficients between the real SGS stress and the output of the ANN are comparable to or larger than similarity models, but smaller than a two-parameter dynamic mixed model. Large-eddy simulations using the trained ANN are also performed. Although ANN models show no advantage over the Smagorinsky model, the results confirm that the ANN is a promising tool for establishing a new subgrid model with further improvement.

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  • Received 23 June 2016

DOI:https://doi.org/10.1103/PhysRevFluids.2.054604

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Fluid Dynamics

Authors & Affiliations

Masataka Gamahara

  • Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan

Yuji Hattori*

  • Institute of Fluid Science, Tohoku University, Sendai 980-8577, Japan

  • *Corresponding author: hattori@fmail.ifs.tohoku.ac.jp

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Issue

Vol. 2, Iss. 5 — May 2017

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