Generalized Taylor–Aris dispersion analysis of spatially periodic lattice Monte Carlo models: Effect of discrete time

The use of a continuous-time approximation in the generalized Taylor–Aris dispersion analysis of periodic lattice Monte Carlo models results in a calculation scheme which is only valid for small applied fields (or fine lattices). In the present contribution, the source of this restriction is identified via a Gram–Charlier expansion and the original moment-matching scheme is adapted to a discrete-time model, thereby resulting in an analytical scheme for computing the mean velocity and dispersivity for strong fields/coarse grids.