... orientation problems is presented and applied to miscible displacement in a porous medium. The base method utilizes characteristic flow directions to model convection and finite elements to treat the diffusion and dispersion. The characteristic approach also minimizes certain overshoot difficulties which...

...-suited numerical scheme. A finite difference analogue can also be formulated. Numerical results are given that show that the method can simulate adverse mobility ratio displacements accurately without suffering from grid orientation, numerical dispersion, or overshoot. The use of characteristics allows...