Upstream differencing for multiphase flow in reservoir simulation
Résumé
Upstream weighting for multiphase flow in reservoir simulation is analyzed. The associated numerical flux is shown to be well defined, monotone, Lipschitz- -continuous and consistent. In the case of a two-phase flow the corresponding numerical flux is compared to that of Godunov and Engquist and Osher. Finally simple way to obtain a higher order scheme is outlined.