Sammendrag
Higher-order spatial discretization has been used by many authors to reduce numerical diffusion and mitigate grid-orientation effects. EOR processes are particularly susceptible to numerical diffusion, since the active chemical substances are often transported by linear or weakly nonlinear waves. Most high-resolution methods reported in the literature are based on explicit temporal discretization, which imposes severe time-step restrictions. Herein, we investigate fully-implicit, second-order WENO schemes on unstructured grids. Accuracy and computational efficiency is compared to a standard first-order scheme for Voronoi and corner-point grids in 2D and 3D for black-oil type and compositional flow models.