Contribution to the variational calculus of the hybrid RANS/LES PITM method for the simulation of turbulent flows

International audience ; Non-zonal hybrid RANS/LES methods are of practical interest for engineering applications. Among these methods, the partially integrated transport modeling (PITM) that varies continuously form RANS to DNS depends on a control parameter linked to the grid step size initially developed in spectral space for homogeneous turbulence. We show that variational calculus formally recovers the spectral PITM model derivation and extend its field of application to the case of non-homogeneous flows.