New developments in the modeling of turbulence in porous media

A new model for turbulent flows in porous media is summarized. The spatial- and time fluctuations in this new model are tied together and treated as a single quantity. This novel treatment of the fluctuations leads to a natural construction of the k and ε type equations for rigid and isotropic porous media in which all the kinetic energy filtered in the averaging process is modeled. The same terms as those found in the corresponding equations for clear flow, plus additional terms resulting from the interaction between solid walls in the porous media and the fluid characterize the model. An example of a flow through porous media is considered where the model is successfully tested comparing its outcome with benchmark results.