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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 are considering a steady-state turbulent Reynolds-Averaged Navier-Stokes (RA\-NS) model that couples the equation for the velocity-pressure mean field with the equation for the turbulent kinetic energy. Eddy viscosities vanish at the boundary, characterized by terms like $d(x, \Gamma)^\eta$ and $d(x, \Gamma)^\beta$, where $0 < \eta, \beta < 1$. We determine critical values $\eta_c$ and $\beta_c$ for which the system has a weak solution. This solution is obtained as the limit of viscous regularizations for $0 < \eta < \eta_c$ and $0 < \beta < \beta_c$.
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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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  • HAL Id : hal-04111072 , version 1

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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-04111072v1⟩
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