NUMERICAL TESTS OF A REFINED FLUX CORRECTED TRANSPORT ADVECTION SCHEME

In the last years several high resolution schemes for solving the adve ction equation have been developed. One group of these second order, o scillation free, explicit scalar difference schemes are the Flux Corre cted Transport (FCT) algorithms. Within these algorithms the flux is c omputed as a weighted combination of fluxes from a monotonic low order scheme and a higher order scheme. In the construction of FCT algorith ms there are three components of interest: the low order scheme, the f lux-limiting algorithm and the high order scheme. In this paper the of ten used Lax Wendroff high order scheme is replaced by the Adams Bashf orth scheme. Results of different well known two dimensional tests are shown. Also two new three dimensional test problems with nonzero topo graphy, which are closer to meteorological applications, are introduce d and applied to the proposed scheme and to several other advection sc hemes.