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