EXTENDED ABSTRACT: A METHODOLOGY TO DERIVE MONIN-OBUKHOV UNIVERSAL FUNCTIONS CONSISTENT WITH SECOND ORDER TURBULENCE MODELS

This work aims to derive universal functions consistent with Monin-Obukhov theory in order to obtain solutions consistent with the modelling of the turbulence considered in the stratified surface boundary layer. Using a Boussinesq assumption on the potential temperature, it is applied to a class of second order turbulence models where the Reynolds tensor, but also the turbulent heat flux and the potential temperature variance are transported. This method is based on the one hand on the resulting algebraic solutions under equilibrium assumptions, and on the other hand on the numerical resolution of the turbulent dissipation rate ε using a one-dimensional iterative process. Providing some constraints on the modelling of the latter, it has been verified that one can then obtain solutions consistent with the Monin-Obukhov theory and the solutions of the computation using the CFD solver code_saturne in a stably stratified surface boundary layer.