APPLICATION OF MACHINE LEARNING METHODS TO CHANNEL FLOW MODELLING

Machine-learning methods to enhance an approximation for the Reynolds-stress anisotropy tensor are presented. The approach of tensor basis random forest is applied for this. The set of input features and tensors in the basis are discussed. Different ways to propagate the Reynoldsstress anisotropy tensor into the Reynolds-averaged Navier–Stokes equation solver are explored. It is demonstrated that the conventional expression for Reynolds-stress anisotropy based on the linear eddy-viscosity model is not able to reproduce a secondary flow in the square duct cross-section, whereas the machine-learning modifications can fix such a disadvantage and have potentials for further improvements of turbulence models.

Authors

Publication Details

Journal
Eurasian Journal of Mathematical and Computer Applications
Published
2025-06-30
DOI
https://doi.org/10.32523/2306-6172-2025-13-2-4-12
Citations
1
Primary Topic
Traffic Prediction and Management Techniques
Type
article
Field-Weighted Citation Impact
1.01

Funders

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article

APPLICATION OF MACHINE LEARNING METHODS TO CHANNEL FLOW MODELLING

Sergey N. Yakovenko, Alain Bernard
1 citations
Eurasian Journal of Mathematical and Computer Applications
Traffic Prediction and Management Techniques
1.01
article

APPLICATION OF MACHINE LEARNING METHODS TO CHANNEL FLOW MODELLING

Sergey N. Yakovenko, Alain Bernard
article en
1 citations

Abstract

Machine-learning methods to enhance an approximation for the Reynolds-stress anisotropy tensor are presented. The approach of tensor basis random forest is applied for this. The set of input features and tensors in the basis are discussed. Different ways to propagate the Reynoldsstress anisotropy tensor into the Reynolds-averaged Navier–Stokes equation solver are explored. It is demonstrated that the conventional expression for Reynolds-stress anisotropy based on the linear eddy-viscosity model is not able to reproduce a secondary flow in the square duct cross-section, whereas the machine-learning modifications can fix such a disadvantage and have potentials for further improvements of turbulence models.

Eurasian Journal of Mathematical and Computer ApplicationsVol. 13(2)
Russian Science Foundation
Openalex Percentile: Top 23%
Traffic Prediction and Management Techniques
1.01
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