Abstract
In the last years several high resolution schemes for solving the advection equation have been developed. One group of these second order, oscillation free, explicit scalar difference schemes are the Flux Corrected Transport (FCT) algorithms. Within these algorithms the flux is computed as a weighted combination of fluxes from a monotonic low order scheme and a higher order scheme. In the construction of FCT algorithms there are three components of interest: the low order scheme, the flux-limiting algorithm and the high order scheme. In this paper the often used Lax Wendroff high order scheme is replaced by the Adams Bashforth scheme. Results of different well known two dimensional tests are shown. Also two new three dimensional test problems with nonzero topography, which are closer to meteorological applications, are introduced and applied to the proposed scheme and to several other advection schemes.
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