CONVERGENCE AND STABILITY IN UPSCALING OF FLOW WITH INERTIA FROM THE PORESCALE TO MESOSCALE
Małgorzata Peszyńska, Anna Trykozko · International Journal for Multiscale Computational Engineering · 2011
We propose an algorithm for computational upscaling of flow with inertia from porescale (microscale) to Darcy scale (laboratory scale, mesoscale). In particular, we solve the Navier-Stokes equations in complex pore geometries and average their solutions to derive properties of flow relevant at the laboratory scale in the non-Darcy model of flow. Convergence and stability of the algorithm are discussed. The project is a prototype of a computational laboratory for porous media that delivers the data for the non-Darcy model with inertia at the mesoscale.