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Assessment of non-intrusive sensing in wall-bounded turbulence through explainable deep learning
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics. Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain. (FLOW)ORCID iD: 0000-0002-7052-4913
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics. (FLOW)ORCID iD: 0009-0000-6360-5603
Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain.
Univ Carlos III Madrid, Dept Aerosp Engn, Ave Univ 30, Madrid 28911, Spain.
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2026 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 1028, article id A19Article in journal (Refereed) Published
Abstract [en]

In this work we present a framework to explain the prediction of the velocity fluctuation at a certain wall-normal distance from wall measurements with a deep-learning model. For this purpose, we apply the deep-SHAP (deep Shapley additive explanations) method to explain the velocity fluctuation prediction in wall-parallel planes in a turbulent open channel at a friction Reynolds number ${\textit{Re}}_\tau =180$ . The explainable-deep-learning methodology comprises two stages. The first stage consists of training the estimator. In this case, the velocity fluctuation at a wall-normal distance of 15 wall units is predicted from the wall-shear stress and wall-pressure. In the second stage, the deep-SHAP algorithm is applied to estimate the impact each single grid point has on the output. This analysis calculates an importance field, and then, correlates the high-importance regions calculated through the deep-SHAP algorithm with the wall-pressure and wall-shear stress distributions. The grid points are then clustered to define structures according to their importance. We find that the high-importance clusters exhibit large pressure and shear-stress fluctuations, although generally not corresponding to the highest intensities in the input datasets. Their typical values averaged among these clusters are equal to one to two times their standard deviation and are associated with streak-like regions. These high-importance clusters present a size between 20 and 120 wall units, corresponding to approximately 100 and 600 $\unicode{x03BC} \textrm {m}$ for the case of a commercial aircraft.

Place, publisher, year, edition, pages
Cambridge University Press (CUP) , 2026. Vol. 1028, article id A19
Keywords [en]
turbulent flows, turbulence simulation, machine learning
National Category
Fluid Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-378711DOI: 10.1017/jfm.2026.11118ISI: 001673774100001Scopus ID: 2-s2.0-105029264983OAI: oai:DiVA.org:kth-378711DiVA, id: diva2:2048941
Note

QC 20260326

Available from: 2026-03-26 Created: 2026-03-26 Last updated: 2026-03-26Bibliographically approved

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Cremades, AndrésFreibergs, ReinisVinuesa, Ricardo

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