TKE model involving the distance to the wall. Part 1: the relaxed case - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Fluid Mechanics Année : 2024

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 and 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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Chérif Amrouche, Guillaume Leloup, Roger Lewandowski. TKE model involving the distance to the wall. Part 1: the relaxed case. Journal of Mathematical Fluid Mechanics, 2024, 26 (4), pp.1-21. ⟨10.1007/s00021-024-00895-y⟩. ⟨hal-04111072v2⟩
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