Multiscale Simulation of Non-Darcy Flows

Abstract

In this work we present control volume multiscale methods which address problems on the interaction between pore scale and Darcy scale. For the case when linear equations govern the ow on the pore scale our solution converges to semi-analytical solution. Moreover, the method also extends to non-linear problems governed by Navier- Stokes equations. We show numerical results illustrating the applicability of the method.