Downscaling Method from Macroscopic to Microscopic Scale in a Periodic Two-Dimensional Porous Medium

摘要

A downscaling procedure applied to the steady laminar convective heat transfer through a two-dimensional homogeneous porous medium is proposed. Local conservation equations are numerically solved. A filtering procedure applied on the computed local fields gives the macroscopic dynamic and thermal behavior of the fluid. Our interest is to reconstruct the fields at microscopic scale in one or more arbitrary sub-areas of the medium. To this end, numerical simulations of the chosen sub-areas are carried out using the Trio_U CFD code. Cell-averaged quantities deduced from the reference volume averages are used as constraints on the solutions. A periodicity assumption is used for velocity and temperature spatial deviation. Reconstructed fields are compared to reference fields.