Higher-resolution hyperbolic-coupled-elliptic flux-continuous CVD schemes on structured and unstructured grids in 3-D
Novel three-dimensional unstructured grid higher order convection schemes are presented. The schemes are coupled with locally conservative flux continuous control-volume distributed (CVD) finite-volume schemes for the porous medium general tensor pressure equation on structured and unstructured grids in 3-D. The schemes are developed for multi-phase flow in porous media. Benefits of the schemes in terms of improved front resolution and medium discontinuity resolution are demonstrated. Comparisons with current methods including the control-volume finite element method highlight the advantages of the new formulation for three-dimensional reservoir simulation. Copyright (c) 2006 John Wiley & Sons, Ltd.
flux-continuous unstructured finite-volume higher-order full-tensor