Accurate Cell-Centered Discretizations for Modeling Multiphase Flow in Porous Media on General Hexahedral and Simplicial Grids

Mary F. Wheeler is supported by the NSF-CDI under contract number DMS 0835745, DOE grant DE-FG02-04ER25617, and the Center for Frontiers of Subsurface Energy Security under Contract No. DE-SC0001114. Guangri Xue is supported by Award No. KUS-F1-032-04, made by the King Abdullah University of Science and Technology. Ivan Yotov is partially supported by the DOE grant DE-FG02-04ER25618, the NSF grant DMS 0813901, and the J. Tinsley Oden Faculty Fellowship, Institute for Computational Engineering and Sciences, University of Texas at Austin.