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Pré-Publication, Document De Travail Année : 2023

TKE model involving the distance to the wall. Part 1: the relaxed case

Résumé

We consider a steady-state turbulent RANS model that couples the equation for the velocity-pressure field to the equation for the turbulent kinetic energy, with eddy viscosities vanishing at the boundary like d(x, Γ) η and d(x, Γ) β , where 0 < η, β < 1. We find critical values η c and β c for which the system has a weak solution obtained as the limit of viscous regularizations for 0 < η < η c , 0 < β < β c .
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Dates et versions

hal-04111072 , version 1 (31-05-2023)
hal-04111072 , version 2 (13-12-2023)

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Paternité

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  • HAL Id : hal-04111072 , version 2

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Chérif Amrouche, Guillaume Leloup, Roger Lewandowski. TKE model involving the distance to the wall. Part 1: the relaxed case. 2023. ⟨hal-04111072v2⟩
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