ROMANELLI, Michele; BENEDDINE, Samir; MARY, Ivan; BEAUGENDRE, Heloise; BERGMANN, Michel; SIPP, Denis

doi:10.1016/j.ijheatfluidflow.2022.109097

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ROMANELLI, Michele
DAAA, ONERA, Université Paris Saclay [Meudon]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]

BENEDDINE, Samir
DAAA, ONERA, Université Paris Saclay [Meudon]

MARY, Ivan
DAAA, ONERA, Université Paris-Saclay [Châtillon]

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International Journal of Heat and Fluid Flow. 2023-01-02, vol. 99, p. 109097

Elsevier

Résumé en anglais

This article presents a data-based methodology to build Reynolds-Averaged Navier-Stokes (RANS) wall models for aerodynamic simulations at low Mach numbers. Like classical approaches, the model is based on nondimensional local quantities derived from the wall friction velocity u τ , the wall viscosity µ w , and the wall density ρ w. A fully-connected neural network approximates the relation u + = f (y + , p +). We consider reference data (obtained with RANS simulations based on fine meshes up to the wall) of attached turbulent flows at various Reynolds numbers over different geometries of bumps, covering a range of wall pressure gradients. After training the neural networks on a subset of the reference data, the paper assesses their ability to accurately recover data for unseen conditions on meshes that have been trimmed from the wall up to an interface height where the learned wall law is applied. The network's interpolation and extrapolation capabilities are quantified and carefully examined. Overall, when tested within its interpolation and extrapolation capabilities, the neural network model shows good robustness and accuracy. The global error on the skin friction coefficient is a few percent and behaves consistently over all the considered test cases.< Réduire

Mots clés en anglais

wall model machine learning RANS neural network

wall model

machine learning

RANS

neural network

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Data-driven wall models for Reynolds Averaged Navier-Stokes simulations

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