“…Owing to reasons of simplicity and computational efficiency, the two‐point flux approximation (TPFA) or the 2‐point finite volume method (2P‐FVM) is most widely used method for understanding fluid flow in porous media. For example, Exxon Mobil Corporation's reservoir simulator EM power TM (Wu and Parashkevov, 2005), Schlumberger's Eclipse (1997), the general purpose research simulator at the Stanford University (Cao, 2002), the research simulator at the Norsk Hydro (Hydro, 2001), the research simulator at the Chevron Texaco (Lee et al , 1999), the research simulators at the University of Bergen (Garrido et al , 2004) and the well known numerical simulator TOUGH‐2 at the Lawrence Berkeley National Laboratory for capturing dynamics of green house gases in porous medium (Pruess et al , 2002). All of these simulators use the 2P‐FVM on uniform meshes.…”