Perturbation technique with characteristics in convection‐dominated flows with small diffusion and dispersion

The proposed method utilizes characteristics to model convection and perturbation technique for diffusion and dispersion. Thus, each physical process is treated by a numerical scheme well suited to it. The theory is treated in three dimensions and applied to a one‐dimensional problem. The objective of the paper is the improvement of numerical techniques used in enhanced oil recovery problems which involve convection‐dominated flows with small diffusion and dispersion.