• Analysis of Control Volume Heterogeneous Multiscale Methods for Single Phase Flow in Porous Media 

      Alyaev, Sergey; Keilegarden, Eirik; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2014)
      The standard approximation for the flow-pressure relationship in porous media is Darcy's law that was originally derived for infiltration of water in fine homogeneous sands. Ever since there have been numerous attempts to ...
    • Multiscale Simulation of Non-Darcy Flows 

      Alyaev, Sergey; Keilegarden, Eirik; Nordbotten, Jan Martin (Conference object; Peer reviewed, 2012-06)
      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 ...