A hybrid RANS-LES method based on structural ensemble dynamics (SED) theory is presented, wherein coarse-grained turbulent fluctuation amplitudes are re-normalized using instantaneous values of an order function, i.e. mixing length, in the ensemble-averaged Navier-Stokes (EANS) equation. The re-normalization procedure is applied throughout the channel (at wall friction Reynolds numbers Reτ=1 050 and 2 000), to evade the common problem of log-layer mismatch. The mean and rms velocity profiles show improved agreement with DNS at very coarse grids (40×49×20 for both Re's). The method dissipates turbulent kinetic energy in the bulk flow, and increases turbulent fluctuations in the buffer region, mimicking the physical forcing of the sub-grid scale term. The results demonstrate the feasibility to reconstruct the unsteady effect of wall-bounded flows constrained by order functions.