Discovery of knowledge of wall-bounded turbulence via symbolic regression

Fuente: arXiv
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Auteurs principaux: Yang, ZhongXin, Shan, XiangLin, Zhang, WeiWei
Format: Preprint
Publié: 2024
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author Yang, ZhongXin
Shan, XiangLin
Zhang, WeiWei
author_facet Yang, ZhongXin
Shan, XiangLin
Zhang, WeiWei
contents With the development of high performance computer and experimental technology, the study of turbulence has accumulated a large number of high fidelity data. However, few general turbulence knowledge has been found from the data. So we use the symbolic regression (SR) method to find a new mixing length formula which is generally valid in wall-bounded turbulence, and this formula has physical interpretation that it has correct asymptotic relationships in viscous sublayer,buffer layer, log-law region and outer region. Coupled with Reynolds averaged Navier-Stokes (RANS) solver, we test several classic cases. The prediction results fully demonstrate the accuracy and generalization of the formula. So far, we have found that SR method can help us find general laws from complex turbulent systems, and it is expected that through this 'white box' machine learning method, more turbulence knowledge with physical interpretation can be found in the future.
format Preprint
id arxiv_https___arxiv_org_abs_2406_08950
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Discovery of knowledge of wall-bounded turbulence via symbolic regression
Yang, ZhongXin
Shan, XiangLin
Zhang, WeiWei
Fluid Dynamics
Computational Physics
With the development of high performance computer and experimental technology, the study of turbulence has accumulated a large number of high fidelity data. However, few general turbulence knowledge has been found from the data. So we use the symbolic regression (SR) method to find a new mixing length formula which is generally valid in wall-bounded turbulence, and this formula has physical interpretation that it has correct asymptotic relationships in viscous sublayer,buffer layer, log-law region and outer region. Coupled with Reynolds averaged Navier-Stokes (RANS) solver, we test several classic cases. The prediction results fully demonstrate the accuracy and generalization of the formula. So far, we have found that SR method can help us find general laws from complex turbulent systems, and it is expected that through this 'white box' machine learning method, more turbulence knowledge with physical interpretation can be found in the future.
title Discovery of knowledge of wall-bounded turbulence via symbolic regression
topic Fluid Dynamics
Computational Physics
url https://arxiv.org/abs/2406.08950