Author(s): A. Verwey; S. Ilic
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Keywords: No Keywords
Abstract: This paper discusses the properties of a new, space-compact, high-order implicit finite difference scheme for the simulation of advection processes. The scheme is defined between two grid points in space and three levels in time. It allows for a fully centered definition of derivatives in a box at the upstream end of the computational point for which the concentrations are computed. The number of grid points addressed in the scheme also allows for the complete elimination of second-and third-order derivatives in the truncation error. This leads to a fourth-order diffusion term as the principal contribution to the truncation error. Apart from the high accuracy, the scheme is also attractive because of its easy implementation as numerical algorithm. At the boundaries, the scheme has the same accuracy as at internal points. Moreover, the algorithm automatically introduces the consequences of changes in flow direction.
Year: 1993