Elimination of adaptive grid interface errors in the discrete cell centered pressure equation
Classical cell centered discretization of the reservoir simulation pressure equation on an \(h\)-adaptive grid results in an \(O(1/h)\) leading truncation error at the grid interface. A new flux continuous finite volume correction is presented together with an improved version of a previously proposed correction. While both corrections eliminate the leading error, the new correction exhibits the best convergence rates. Results computed by the uncorrected classical scheme and by both correction schemes are compared for two-phase flow simulations with multilevel dynamic local grid refinement.
cell centered finite volume discretization
flux continuous finite volume correction
multilevel dynamic local grid refinement
scientific article; zbMATH DE number 937211